Name ______
Geometry Fall 2013 Semester Review
Chapter 1 10.S is the midpoint of TV, TS = 4x -7 and SV = 5x - 15. Find TS, SV, and TV. Use the figure for #1-4. Name each of the following.
1. two opposite rays 11.LH bisects GK at M. GM = 2x +6 and GK = 24. Find x.
2. a point on BC
3. the intersection of plane N and plane T
4. a plane containing E, D, and B
12.K is in the interior of LMN, mLMK = 52 and mKMN = 12. Find mLMN. 5. Draw ray with end point P that passes through Q
6. Two planes intersect at a ______.
7. Two lines intersect at a ______. 13.BD bisects ABC, mABD = (1/2y + 10) and mDBC = (y + 4). Find mABC. 8. A line and a plane intersect at a ______.
9. M is between N and O, MO = 15 and MN = 7.6. Find NO.
1 Name ______
14.mWYZ = (2x - 5) and mXYW = (3x + 19.mA = 64.1 and mB = (4x – 30). 10). Find the value of x. a. What is the supplement of A?
b. What is the compliment of B?
15.______angles are two angles in the same plane with a common vertex and a common side, but no common interior points. After filling in the blank, draw an example. 20.mXYZ = 2x and mPQR = (8x – 20). If XYZ and PQR are supplementary, find the measure of each angle.
16.A ______of angles is a pair of adjacent angles whose noncommon sides are opposite rays. After filling in the blank, draw an example.
21.What is the circumference and area of a circle with a radius of 2 cm?
17.Complementary angles are two angles whose measures have a sum of ______. 22.What is the circumference and area of a circle with a diameter of 12 ft?
18.Supplementary angles are two angles whose measures have a sum of ______.
2 Name ______
23.Find the area and perimeter of each figure. 26.Find the distance, to the nearest tenth, between S (6, 5) and T (-3, -4).
27.Find the lengths of AB and CD and determine whether they are congruent.
24.Find the coordinates of the midpoint of MN with endpoints M (-2, 6) and N (8, 0).
28.A figure has vertices at X (-1, 1), Y (1, 4) and Z (2, 2). After a transformation, the image of the figure has vertices at X’ (-3, 2), Y’ (-1, 5) and Z’ (0, 3). Draw the preimage and the image. Identify the 25.K is the midpoint of HL. H has coordinates transformation. of (1, -7) and K has coordinates (9, 3). Find the coordinates of L.
3 Name ______
29.What transformation is suggested by the 34.Identify the hypothesis and conclusion. If a wings of an airplane? triangle has one right angle, then it is a right triangle.
30.Given points P (-2, -1) and Q (-1, 3), draw PQ and its reflection across the y-axis.
35.Write the converse, inverse, and contrapositive of the conditional statement “If Maria’s birthday is February 29, then she was born in a leap year.”
31.Find the coordinates of the image of F (2, 7) after the translation (x, y) (x + 5, y – 6).
Chapter 2 32.Find the next item in the pattern. a. 0.7, 0.07, 0.007, … Chapter 3
36.Identify each of the following. b. …
33.Determine if each conjecture is true. If false, give a counterexample. a. One pair of parallel segments a. The quotient of two negative numbers is a positive number. b. One pair of skew segments
b. Every prime number is odd. c. One pair of perpendicular segments
c. The square of an odd integer is even. d. One pair of parallel planes
4 Name ______
37.Identify each of the following. 39.State how the angles are related then find the unknown angle measures.
a. One pair of alternate interior angles a. m1 = 120, m2 = 60x
b. One pair of corresponding angles
c. One pair of alternate exterior angles
d. One pair of same-side interior angles b. m2 = (75x – 30), m3 = (30x + 60)
e. One pair of parallel lines
f. The transversal
38.What is the shortest segment? Write and c. m3 = (50x + 20), m4 = (100x – solve an inequality for x. 80)
d. m3 = (45x + 30), m5 = (25x + 10)
5 Name ______
40.Solve to find x and y in the diagram. 45.Write an equation of a line that is perpendicular to y = 3x + 2.
46.Write an equation of a line that coincides with y = 3x + 2.
41.Use the slope formula to determine the slope of the line that passes through M (3, 47.Write the equation of a line in slope- 7) and N (-3, 1). intercept form that passes through (-1, 3) and (3, -5). Then, graph the line.
42.Graph each pair of lines. Use slopes to determine whether they are parallel, perpendicular, or neither. AB and XY for A (-2, 5), B (-3, 1), X (0, -2), and Y (1, 2).
48.Write the equation of a line in y=mx + b form that passes through (5, -1) with slope 2/5. Then, graph the line.
43.What is the slope of the line y = 3x +2?
44.Write an equation of a line that is parallel to y = 3x + 2.
6 Name ______
49.Solve each equation for y. Are the lines 52.The measure of one of the acute angles in parallel, intersecting or coinciding? a right triangle is 23. What is the measure a. 2y = 4x + 12 of the other acute angle?
b. 4x – 2y = 8 53.Find mABD
Chapter 4A
50.Classify each triangle by its angles AND side lengths.
54.Find mN and mP
a. MNQ
b. NQP
c. MNP
55.ABC JKL 51.Find the side lengths of the triangle. a. AB = 2x + 12 and JK = 4x – 50. Find x and AB.
b. AC _____
c. C _____
d. K _____
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