File: Geomb 2011 Questions 8.10.11

File: GeomB 2011 Questions 8.10.11 No Calculators: Updated: August 10, 2011 A concave polygon looks sort of like a vertex has been 'pushed in' towards the inside of the polygon. A convex polygon has all the vertices of the polygon pointing outwards, away from the interior of the shape. Think of it as a 'bulging' polygon. 8) Identify the following figure. Be specific as A regular polygon is a polygon which is equiangular possible using the diagram. (all angles are congruent) and equilateral (all sides have the same length). Regular polygons may be convex or star. (5.01) 1) Describe the figure below. (convex / concave? …)

9) Identify the following figure. Be specific as possible using the diagram.

2) Describe the figure below. (convex / concave? …)

10) Identify the following figure. Be specific as possible using the diagram. 3) Describe the figure below. (convex / concave? …)

11) Identify the following figure. Be specific as possible using the diagram.

4) Describe the figure below. (convex / concave? …)

5) Describe the figure below. (convex / concave? …) 12) Identify the following figure. Be specific as possible using the diagram.

(5.09) 6) Identify the following figure. Be specific as (5.07) possible using the diagram. 13) A rhombus is a trapezoid. (a) Always (b) Sometimes (c) Never

14) A trapezoid has congruent diagonals. 7) Identify the following figure. Be specific as (a) Always possible using the diagram. (b) Sometimes (c) Never 15) A trapezoid has one pair of congruent sides. 17) A trapezoid has one pair of parallel sides. (a) Always (a) Always (b) Sometimes (b) Sometimes (c) Never (c) Never

16) 18) A trapezoid is a parallelogram. (a) Always (b) Sometimes (c) Never

(5.04) 19) Which property applies to a rectangle? (a) Diagonals are perpendicular (b) Diagonals bisect each other (c) Consecutive angles are complementary (d) Angles have a sum of 180 degrees

20) Which property applies to a rhombus?? (a) All angles are congruent (b) Diagonals are congruent (c) All sides are congruent (d) Contains four right angles

21) Which property applies to a parallelogram? (a) Diagonals bisect each other (b) Diagonals are perpendicular (c) All angles are congruent

22) A square is a rectangle. (a) Always (b) Sometimes (c) Never

23) The diagonals of a rectangle bisect each other (a) Always (b) Sometimes (c) Never

24) A rhombus is a parallelogram (a) Always (b) Sometimes (c) Never

25) A parallelogram is a rhombus (a) Always (b) Sometimes (c) Never

26) A rhombus is a square. (a) Always (b) Sometimes (c) Never

27) A square is a rhombus (a) Always (b) Sometimes (c) Never

28) A parallelogram has four congruent angles (a) Always (b) Sometimes (c) Never 29) A parallelogram has two congruent diagonals 36) Find the values of x and y that make the (a) Always quadrilateral below a parallelogram. Then find the (b) Sometimes perimeter of the parallelogram. (c) Never

(5.03) 30) Use quadrilateral ABCD below to determine if the quadrilateral is a parallelogram. If so, choose the theorem a – f that justifies your conclusion. 37) Find the values of x and y that make the quadrilateral below a parallelogram. Then find the perimeter of the parallelogram.

(a) Both pairs of opposite sides are parallel BC = 4 units, AD = 4 units and BC || AD (b) Both pairs of opposite sides are congruent. AB || DC and BC || AD (c) One pair of opposite sides is parallel and AB & CD = 2 units; BC & DA = 4 units congruent. L ABC is  to L CDA; L DAB is  to L BCD (d) Both pairs of opposite angles are congruent. L ABC is  to L CDA; BC || AD (e) The quadrilateral is a parallelogram, but does not fit any of these theorems. (f) The quadrilateral is not a parallelogram

(5.02) 31) Given parallelogram DEFG. If the measure of L D = 57, find the measure of the L’s E, F and G

(5.05) 32) Given rectangle WXYZ below. If WX = 10x - 4 and YZ = 13x - 7, find the value of x, WX, and YZ Use the rhombus ABCD below to answer the following:

33) Given rectangle WXYZ below. If WX = 10x + 4 and YZ = 13x - 8, find the value of x, WX, and YZ 38) Angle AEB = 7x + 6. Solve for x.

39) The measure of L ABC = 84. Find the measure of L A.

40) The measure of L BAE = 9x + 2 and the 34) Given parallelogram LMNO with the diagonals measure of L BAD = 130. Find x and L BAE intersecting at point P. If MP = 2x - 1 and OP = 3x - 4, find the value of x, MO, MP, and OP

41) Given Polygon ABCD and the points A (-2, 5), B (3, 5), C (3, - 3) and D (-2, - 3). Find the lengths of 35) Find the perimeter of parallelogram ABCD each side. Give the most specific name for this polygon.

42) Given Polygon ABC and the points A (-2, 2), B (2, -1) and C (-2, - 1). Find the lengths of each side. Give the most specific name for this polygon.

AC = 3 and CB = 4 43) Given isosceles trapezoid EFGH, LHGF = 5x – Find x, BC and CD. 2, LEFG = 4x + 4. Find x and LHGF, LE, LH 50) Given kite ABCD. The measure of LEBC = 6x + 10 and the measure of LEDC = 9x - 14. Find x, LEDC and LEBC.

51) Given kite ABCD. EB = 2x + 4 and BD = 5x + 1. Find the value of x, EB and BD.

Use the isosceles trapezoid ABCD below to 52) Given kite ABCD. BE = 3, AE = 4 and AC = answer the following questions: 12. Find AB, BC and the perimeter of  AEB.

53) Given kite ABCD. The measure of LDAB = 86 and the measure of LDCB = 22. Find the measure of LADC and LABC.

54) Given kite ABCD. The measure of LDAE = 44) Given isosceles trapezoid ABCD. AB = 5x – 3 and 32. Find the measure of LADE and LDAB. CD = 3x + 5. Find x and AB and DC. 55) Given kite ABCD. The measure of LDCE = 45) Given isosceles trapezoid ABCD. AB = 3x – 4 14. Find the measure of LDCB and LEDC and CD = x + 12. Find x and AB and DC. 56) Given kite ABCD. And DB = 24, EB = 2x + 2, AE 46) Given a trapezoid with b = 3x + 1, b = 18 and 1 2 = x, EC = 3x + 1. Find the perimeter of kite ABCD. midsegment = 6x – 4, find x, b1, and the midsegment length. 57) Given kite ABCD. And DB = 16, EB = 2x, AE = x + 2, EC = 2x + 7. Find the perimeter of kite ABCD. (6.01) 58) Complete the chart below # Angles 47) Given a trapezoid with b1 = 6x + 8, b2 = 25x + Regular or Sum of Each Sum of Each 10 and midsegment = 18x + 4, find x, b1, b2 and the midsegment length. # interior Interior Exterior Exterior Polygon Sides angles angle angles angle Triangle Rectangle Pentagon

48) Given a trapezoid with b1 = 6, b2 = 6x – 4 and Hexagon midsegment = 2x + 5, find x, b1, b2 and the Heptagon midsegment length. Octagon Nonagon Decagon

(6.02) (5.08) Use the kite ABCD below to answer the following: 59) Complete the chart below (Show Work) Square Side Value Side Perimeter Length of x Length (feet) (feet) (feet) (feet) a 56 4x b 20 2x - 3

60) The perimeter of a rectangle is 70 cm. The width is (4x – 1) cm and the length is (6x – 4) cm. What is the value of x and what are the 49) Given kite ABCD. BC = 3x + 4 and CD = 5x - 4. width and length? 61) The perimeter of a regular hexagon is 72 m. The 74) Find the missing diagonal of a rhombus if the side length is (3x – 3) m. What is the value of x area is 92 ft2 and the other diagonal is 8 feet. and what is the length of one side? 75) Find the missing diagonal of a rhombus if the 2 (6.03) area is 120 ft and the other diagonal is 16 feet. 62) What is the area of a square that has a side length of: 76) Find the area of a rhombus if the two diagonals a) 9 units are 6 cm and 16 cm. b) 11 units 77) Find the area of a rhombus if the two diagonals are 63) A rectangle has a length of 8 in and a width of 5 8 cm and 14 cm. in. Find the area. (6.05) 64) Find the length of a rectangle if the width is 8 78) Find the height of a triangle with area of 72 m2 and cm and the perimeter 40 cm. a base of 9 m.

65) The diagonals of a square measure 12 cm. 79) Find the height of a triangle with area of 42 cm2 Find the area of the square. (Show two methods) and a base of 7 cm.

80) Find the base of a triangle with area of 45 cm2 and a height of 5 cm.

81) Find the missing diagonal of a kite with an area of 66) Prove the following: If the diagonals of a 140 m2 if the other diagonal is 20 m. quadrilateral are perpendicular, then the area of the quadrilateral can be found by: Area = (d1)(d2) 82) Find the missing diagonal of a kite with an area of 2 18 m2 if the other diagonal is 6 m.

83) Find the area of a kite with diagonals 28 ft and 7 ft.

84) Find the area of a kite with diagonals 18 ft and 17 ft.

85) Find the area of a trapezoid with bases of 19 in. and 31 in. and a height of 12 inches.

86) Find the area of a trapezoid with bases 7 in. and 15 in. and a height of 23 inches.

(6.04) 87) A trapezoid has an area of 300 m2, a height of 15 m, and a base of 12 m. Find the length of the other 67) Find the area of a parallelogram if the base is base. 11 in. and the height is 4 inches. 88) A trapezoid has an area of 473 m2, a height of 11 68) Find the base of the parallelogram if the area is m, and a base of 36 m. Find the length of the other 104 in2 and the height is 8 inches. base.

69) Find the base of the parallelogram if the area is (6.07) 96 in2 and the height is 12 inches. 89) Use the Pythagorean theorem to demonstrate the 70) Find the area of the parallelogram with a base relationship for all 30-60-90 Right Triangles. Thus of and a height of . explaining how the apothem relates to the side length of a hexagon. In your explanation example 71) Find the area of the parallelogram with a base indicate the side length of the hexagon. of and a height of . 90) Find the exact length of the apothem in a regular 72) Find the area of a rhombus with diagonals of 8 hexagon with side length of: cm and 7 cm. (a) 30 cm and (b) 40 cm. 91) What is the exact area of a regular hexagon with 73) Find the area of a rhombus with diagonals of 9 side length of: (a) 24 in ; (b) 20 cm cm and 12 cm. 92) What is the exact area of a regular hexagon with 101) Find the lateral area of a hexagonal prism where side length of : (a) 40 cm ; (b) 14 inches all edges are 9 in and the height is 15 in. 93) What is the exact area of a regular hexagon with 102) Find the base edge of a square prism with a side length of : (a) 8 in ; (b) 20 cm height of 5 m and a lateral area of 100 m2.

(6.08) 103) Find the lateral area of a cube with edges of 6 inches. 94) Name the figure below. 104) Find the lateral area of a triangular prism with base edges of 5, 12, and 13 cm. The height of the prism is 8 cm.

105) A hexagonal prism has base edges of 7 cm and a height of 11 cm. What is the lateral area?

106) The lateral area of a rectangular prism with height (a) Right hexagonal prism of 5 in. is 175 in2. What is the perimeter of the (b) Right triangular prism base? (c) Oblique hexagonal prism (d) Octahedron (6.10) 107) The lateral area of a square pyramid is 62 in2 and 95) Name the figure below the base area is 18 in2. Find the surface area.

108) The lateral area of a square pyramid is 72 in2 and the base area is 24 in2. Find the surface area.

109) The lateral area of a square pyramid is 82 in2 and the base area is 26 in2. Find the surface area.

(a) Right hexagonal prism 110) The height of a square pyramid is 12 cm. Find the (b) Right triangular prism slant height if the base edges are 10 cm. (c) Oblique hexagonal prism (d) Octahedron 111) The height of a square pyramid is 24 cm. Find the slant height if the base edges are 14 cm.

96) Name the figure below 112) The slant height of a square pyramid is 13 cm. Find the height if the base edges are 10 cm

113) The slant height of a square pyramid is 25 cm. Find the height if the base edges are 14 cm.

114) Find the surface area of a square pyramid that (a) Right hexagonal prism has a perimeter base of 24 in and a height of 4 in. (b) Right triangular prism (c) Triangular pyramid 115) Find the surface area of a square pyramid that has (d) Octahedron a perimeter base of 40 cm and a height of 12 cm.

(6.09) (6.11) 97) Find the: (a) surface area and (b) lateral area of a 116) Find the volume of a rectangular prism whose two rectangular prism if the base edges are 2 cm and 3 base edges are 5 cm and has a height of 7 cm. cm and the height is 5 cm. Next explain the difference between surface area and lateral area. 117) Find the height of a rectangular prism that has a volume of 576 cm3 and two base edges of 12 cm 98) Find the lateral area of a rectangular prism if the base edges are 8 in and 5 in and the height is 13 118) Find the regular base edges of a rectangular inches. prism that has a volume of 1089 cm3 and a height of 9 cm. 99) Find the lateral area of a rectangular prism if the base edges are 9 in and 6 in and the height is 14 119) Find the exact volume of a triangular prism whose inches. base is regular with sides that measure 8 cm and whose height is 11 cm 100) Find the lateral area of a hexagonal prism where all edges are 10 cm and the height is 16 cm. 120) Find the exact volume of a triangular prism whose base is regular with sides that measure 12 cm and whose height is 10 cm

121) Find the exact volume of a triangular prism whose 133) base is regular with sides that measure 10 cm and whose height is 8 cm.

(6.12) 122) Find the volume of a square pyramid with base edges of 6 cm and a height of 11 cm.

123) Find the volume of a square pyramid with base edges of 12 cm and a height of 10 cm.

124) Find the volume of a square pyramid with base edges of 9 feet and a height of 30 feet.

125) Find the volume of a cone with a radius of 6 cm and a height of 10 cm.

126) Find the volume of a cone with a diameter of 6 cm and a height of 15 cm.

(7.01) 127) What is a line segment called whose endpoints are on a circle? ______

128) What is the distance called that goes from the center of a circle to the circle itself ______

129) What are two or more circles with congruent radii called? ______

130) What is a chord that passes through the center of a circle called? ______

131) What are two or more circles that lie in the same plane and have the same center called?

132) What is the distance around a circle is called? 134) What is a line called that intersects a circle in 140) Complete the following table for circles with the exactly one point? given equations. Center Radius Equation (h, k) (r) 2 2 a) (x + 5) + (y + 3) = 49 b) (x – 7)2 + (y – 2)2 = 81 135) What is a line called that intersects a circle in c) (x – 2)2 + (y + 1)2 = 100 exactly two points? d) (x + 8)2 + (y – 4)2 = 4

(7.03) 141) Complete the following table for circles with the given information. 136) Use circle O to answer the following questions Diameter Radius Circumference Area a) 9in b) 12 in c) 35ft d) 7.5ft

142) Complete the following table for circles with the given information. (Show all working out)

(i) segment OD (vi) 7 2 Radius Diameter Circumference (ii) segment BC (vii) 3.5 A = r (iii) line EF (viii) 10 a) 81in2 (iv) line AG (ix) 14 b) 49in2 (v) none of the above a) What is the radius of the circle? (7.04) b) What is a diameter of the circle? c) What is a secant of the circle? 143) Use circle O to answer the following questions. d) What is a tangent of the circle? e) What is a chord of the circle? f) If OD = 7, what is the diameter of the circle?

(7.02) (i) arc AB (vi) semicircle 137) Explain how the formula of a circle is derived. (ii) arc CBA (vii) minor arc Use an example to help illustrate your (iii) arc BC (viii) major arc explanation. (iv) arc BAC (ix) half arc (v) none of the above a) Which of the following is a minor arc? b) Which of the following best describes arc ACB? c) Which of the following best describes arc CB? d) Which of the following best describes arc BAC? d) Which of the following best describes arc AC?

144) Use circle O to answer the following questions. 138) Complete the following table for circles with the given center and radius Center Radius (h,k) (r) Circle Equation a) (-5, 2) 6 b) (6, -3) 5 a) What is the measurement of arc BC? c) (4, -1) 8 b) What is the measurement of arc CD? d) (-5, 6) 4 c) What is the measurement of arc BD? d) What is the measurement of arc AB? e) What is the measurement of arc AD? 139) (7.05) 150) Given Circle D below, find the length of segment

145) Match the shaded region of the following figures DB if the measure of segment DE = 25 units and the with the appropriate choice below measure of segment BC = 24 units. (a) sector (b) segment of a circle (c) annulus (d) sector or annulus

151) Given Circle D above, find the length of segment DB if the diameter is 20 units and the measure of chord AC is 16 units.

(7.08, 7.09, 7.10 and 7.11) 146) Given the circle below with a radius of 6 units. Find the exact area of all three sectors. Be sure to 152) If in Circle O below the measure of L 1 = 2x + 3 indicate the sector and it’s area. and the measure of arc BC = 5x – 17. Find the value of x, L 1 and arc BC

A = r2 x y z degrees 153) If in Circle O below the measure of L JKL = 14x Area + 1 and the measure of arc JK = 29x – 4. Find the A = r2 value of x and L JKL. (units2)

(7.06) 147) Use circle O above to find the unknown lengths in the table below. Show all work.

154) If in Circle O below the measure of L ABD = 11x – 3 and the measure of L DCA = 9x + 7. Find the value of x, L ABD, L DCA and the measure of arc KL KM KO LO AD. a) 4 5 b) 16 15 c) 10 13

148) Use Circle O below. Given that AB = 4x – 2 and CD = 2x + 10 and O is the midpoint of GH. Find x, AB and CD. Show work.

155) Find the measure of arcs BC, AC, AD and the measure of L DAB. Given that segment AB is the diameter of Circle O below.

149) Use Circle O above. Given that AB = 24, and GH = 10 and O is the midpoint of GH find the radius of circle O. 161) Given segment AB and CB are tangents to Circle O below and AC = 8 units; AB = 4x + 8 and BC = 7x – 13. Find the perimeter of  ABC.

156) If in the circle below Find the measure of L R, if arc PT = 1050 and arc QS = 150 162) Given Circle O below is inscribed in triangle KLM and KC = 3 units, MB = 5 units and KL = 14 units. Find the perimeter of triangle KLM.

157) Find the measure of L R if arc SP = 1300 and arc PQ = 2000.

163) Given Circle O above is inscribed in triangle KLM and KC = 4 units, MB = 6 units and KL = 17 units. Find the perimeter of triangle KLM. 164) Given segment BC is tangent to Circle A below and AB = 5 units and DC = 8 units, find segment BC. 158) Given the circle below find the measure of angle R.

165) Find the value of x in the figure below.

159) If in Circle O below the measure of L 1 = 500 and the measure of arc PS is 700. Find the measure of arc QR.

160) Given that segment AB and segment AC are both tangents to Circle O below, find segment length AB. 167) Find the value of x in the figure below. 180) Identify which transformation is shown: Explain:

181) Identify which transformation is shown: Explain:

182) Identify which transformation is shown: Explain:

(7.12) 169) Demonstrate how to derive a simplified formula for the surface area of a cylinder. 183) Complete the table below Identifying the transformation shown in questions 1-4, using the 170) Find the exact surface area and volume of a following domain words: cylinder with diameter of 10 cm and a height of 20 i {flip, slide, spin, growth/shrink}; cm. ii {Dilation, Reflection, Translation, Rotation}; iii Image congruent to preimage { {Yes, No}} iv Image has Isometry {Yes, No} 171) Find the exact surface area and volume of a cylinder with diameter of 14 cm and a height of 4 cm. Transformations i ii iii iv image w 172) Find the exact surface area and volume of a image x cylinder with a diameter of 12 cm and a height of 5 image y cm. image z

 173) Find the exact surface area and volume of a (8.02) cylinder with a diameter of 18 cm and a height of 11 184) Find the coordinates of the vertices of cm. quadrilateral QUAD. Q(-2, -3), U(-1, 2), A(3, 4) and D(1, -2), if it is moved 3 units to the right and 1 unit 174) Find the exact lateral area and volume of a cone down. Next graph both the preimage QUAD and with a diameter of 10 cm and a height of 12 cm. image Q’U’A’D’ onto the same graph

Given that: LA cone = ()(r)(Slant Height) QUAD Q (- 2, - 3) 175) Find the exact lateral area and volume of a U (- 1, 2) cone with a radius of 7 cm and a slant height of A (3, 4)

25 cm. Given that: LA cone = ()(r)(Slant Height) D (1, - 2)

176) Find the exact surface area and volume of a 185) If the following coordinates are reflected over sphere with diameter of 6 cm. Given the following the Y-axis what are the coordinates of the formulas. image?

177) Find the exact surface area and volume of a Preimage Image sphere with diameter of 5 cm. Given the following (a) (5, -3) formulas. (b) (-3, 4) (8.01) (c) (1, 3) 178) (a) What is a transformation? (b) Name four types (d) (-2, -1)

179) Identify which transformation is shown: Explain: 186) If the following coordinates are reflected over the X-axis what are the coordinates of the image? Preimage Image (a) (2, -5) (b) (-6, 4) (c) (7, -9) (d) (12, 10) (8.05) 193) Square ABCD below is a dilation of square 187) Determine the total lines of symmetry for each AEFG. capital letter of the alphabet. Put the total number of (a) Find the value of the scale factor: ABCD: AEFG lines beneath each letter and on each letter show (b) Find the value of the scale factor between the lines of symmetry. square AEFG to square ABCD. A B C D E F G H I

J K L M N O P Q R

S T U V W X Y Z

188) Determine the angle of rotation for the following 194) Square ABCD below is a dilation of square AEFG. figures to maintain rotational symmetry: (a) Find the value of the scale factor: ABCD: AEFG (a) A square (b) Find the value of the scale factor between square AEFG to square ABCD. (b) An equilateral triangle

(c) A regular hexagon

(d) A regular octagon (8.03) 189) Describe in words the following translation: (a) (x, y) ->(x - 4, y + 9) 195) A dilation has center (0, 0). Find the image of the (b) (x, y) ->(x - 5, y - 3) Point B for the given Scale Factor (c) (x, y) ->(x + 6, y - 2) Point B Scale Factor Image (a) (4, -10) 0.5 190) Describe the translation as an ordered pair: (b) (3, -5) 2 (a) 3 units right, 7 units down (c) (1, -1) 3 (b) 4 units left, 2 units down (c) 5 units right, 1 units up (d) (-4, 4) 0.25 (d) 6 units left, 8 units up 196) Match the following choices with the questions below: 191) What is the image of the following preimage point (i) glide reflection (vi) matrix if a translation is defined by: (ii) tessellation (vii) transformatio Preimage Translation Image (iii) symmetry (viii) isometry (a) (-3, 5) (x, y) ->(x - 1, y - 6) (iv) reflection (ix) dilation (b) (-3, 5) (x, y) ->(x + 2, y - 3) (v) rotation (c) (-2, 4) (x, y) ->(x - 2, y + 3) (a) The merging of two transformations (d) (2, 4) (x, y) ->(x + 3, y - 3) (b) A two-dimensional array of elements arranged in rows and columns (8.04) (c) A transformation in which the preimage and the image are congruent (d) A transformation in which the image is either enlarged or reduced (e) A transformation in which a figure is turned about a fixed point (f) A repetitive pattern of shapes that completely cover a plane without any gaps or overlaps (g) A way of moving or changing a figure 197) What are the resulting matrices? 192) Use the diagram above to state the segment that represents a: (a) 90° clockwise rotation of DE about P 90° clockwise rotation of (b) (a) A + B = FG about P (c) 180° clockwise rotation of (b) A – B = DC about P (d) 180° clockwise rotation of 198) What are the resulting matrices? BC about P

(a) C + D =

(b) C – D = 199) What are the resulting matrices?

(a) E + F =

(b) E – F =

200) What is the resulting matrix?

(8.09)

201) Perform a glide reflection on point (-3, 2) that is translated by (x, y) -> (x + 2, y - 1) and then: (a) Reflected over the x-axis. What are the coordinates for the image point? (b) Reflected over the y-axis. What are the coordinates for the image point? 202) Perform a glide reflection on point (3, -2) that is translated by (x, y) -> (x + 2, y - 1) and then: (a) Reflected over the x-axis. What are the coordinates for the image point? (b) Reflected over the y-axis. What are the coordinates for the image point? 203) Perform a glide reflection on point (2, -5) that is translated by (x, y) -> (x - 4, y + 1) and then: (a) Reflected over the x-axis. What are the coordinates for the image point? (b) Reflected over the y-axis. What are the coordinates for the image point? 204) Find the image coordinates N', P' and Q' if preimage points N (4, -2), P (3, 1), and Q (0, -1) are translated using the rule (x, y) -> (x - 1, y + 2). NPQ N (4, - 2) P (3, 1) Q (0, - 1) 205) Find the image coordinates S', R' and T' if preimage points S (1, 2), R (0, -3), and T (-4, 3) of triangle SRT are dilated using a scale factor of 2. Graph both triangles SRT and S’R’T’ on the same graph. SRT S (1, 2) R (0, - 3) T (- 4, 3)

206) Solve for x (Not drawn to scale)

207) Solve for x (Not drawn to scale)

208) Solve for x in the regular octagon below (Not drawn to scale) (9.0) 249) Factor Completely: x2 – 11x + 24 209) Foil: (x + 4)(x + 4) ------250) Factor Completely: x2 + 6x – 7 210) Foil: (x + 5)(x + 5) 251) Factor Completely: x2 + 3x – 10 211) Foil: (x + 6)(x + 6) 252) Factor Completely: x2 + 3x – 28 ------253) Factor Completely: x2 + 6x – 16 212) Foil: (x + 3)(x + 5) 254) Factor Completely: x2 + 5x – 36 213) Foil: (x + 4)(x + 6) ------2 214) Foil: (x + 2)(x + 4) 255) Factor Completely: x – 4x – 5 2 ------256) Factor Completely: x – 5x – 6 215) Foil: (x – 4)(x – 4) 257) Factor Completely: x2 – 4x – 45 216) Foil: (x – 5)(x – 5) 258) Factor Completely: x2 – 3x – 40 2 217) Foil: (x – 6)(x – 6) 259) Factor Completely: x – x – 42 ------260) Factor Completely: x2 + 8x + 16 218) Foil: (x – 3)(x – 5) 261) Factor Completely: x2 + 10x + 25 219) Foil: (x – 4)(x – 6) 262) Factor Completely: x2 + 12x + 36 220) Foil: (x – 2)(x – 4) 263) Factor Completely: x2 – 36 221) Foil: (x – 4)(x – 5) 264) Factor Completely: x2 – 100 ------265) Factor Completely: x2 – 16 222) Foil: (x + 4)(x – 4) 266) Factor Completely: 9x2 – 25 223) Foil: (x + 10)(x – 10) 267) Factor Completely: 16x2 – 36 ------224) Foil: (3x + 5)(3x – 5) 268) Factor Completely: 5x2 – 7x + 2 225) Foil: (4x + 6)(4x – 6) 269) Factor Completely: 3x2 – 10x – 8 ------226) Foil: (x + 7)(x – 1) (10.0) 227) Foil: (x + 5)(x – 3) 270) In the figure below what is the value of x? 228) Foil: (x + 8)(x – 3) ------229) Foil: (x – 2)(x + 5) 230) Foil: (x – 4)(x + 6) 231) Foil: (x – 1)(x + 5) ------232) Foil: (x – 7)(x + 1) 271) In the figure below what is the value of x? 233) Foil: (x – 5)(x + 3) If: AE = ED = DC = CB 234) Foil: (x – 8)(x + 3) ------235) Foil: (3x – 2)(2x + 4) 236) Foil: (5x – 2)(x – 1) 237) Foil: (2x + 5)(3x – 2) o 238) Foil: (3x + 2)(x – 4) 272) If L ABC is 43 and O is the center of the circle, what is degree measure of L AOC? 239) Foil: (2x + 2)(3x – 5) ------240) Factor Completely: x2 + 6x + 8 241) Factor Completely: x2 + 10x + 21 242) Factor Completely: x2 + 8x + 15 243) Factor Completely: x2 + 12x + 35 2 244) Factor Completely: x + 7x + 12 o ------273) If the measure of arc XY = 50 , what is the sum of 245) Factor Completely: x2 – 9x + 20 the degree measures of angle a + b + c? 246) Factor Completely: x2 – 14x + 33 247) Factor Completely: x2 – 9x + 14 248) Factor Completely: x2 – 6x + 8 280) If segment WZ and segment XY are diameters of the circle with a length of 12, what is the area of the shaded region?

o 274) If the measure of L AOC = 60 and the radius = 18, what is the length of arc AC? (

275) What is the sum of xo + yo + zo ?

o 276) If the measure of L ABC = 6 and the radius = 5, what is the length of arc AC?

277) If O is the center of the circle, length OC = 9 and o the measure of L AOC = 36 , what is the area of sector AOC?

278) Find the ratio of the area of ABE to ACD.

279) In the figure below which is not drawn to scale, if the four lines intersect as shown, what is the value of: x + y