Geometry Fall Semester Review

Geometry Fall Semester Review

<p> Name ______</p><p>Geometry Fall 2013 Semester Review</p><p>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.</p><p>1. two opposite rays 11.LH bisects GK at M. GM = 2x +6 and GK = 24. Find x.</p><p>2. a point on BC</p><p>3. the intersection of plane N and plane T</p><p>4. a plane containing E, D, and B</p><p>12.K is in the interior of LMN, mLMK = 52 and mKMN = 12. Find mLMN. 5. Draw ray with end point P that passes through Q</p><p>6. Two planes intersect at a ______.</p><p>7. Two lines intersect at a ______. 13.BD bisects ABC, mABD = (1/2y + 10) and mDBC = (y + 4). Find mABC. 8. A line and a plane intersect at a ______.</p><p>9. M is between N and O, MO = 15 and MN = 7.6. Find NO.</p><p>1 Name ______</p><p>14.mWYZ = (2x - 5) and mXYW = (3x + 19.mA = 64.1 and mB = (4x – 30). 10). Find the value of x. a. What is the supplement of A?</p><p> b. What is the compliment of B?</p><p>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.mXYZ = 2x and mPQR = (8x – 20). If XYZ and PQR are supplementary, find the measure of each angle.</p><p>16.A ______of angles is a pair of adjacent angles whose noncommon sides are opposite rays. After filling in the blank, draw an example.</p><p>21.What is the circumference and area of a circle with a radius of 2 cm?</p><p>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?</p><p>18.Supplementary angles are two angles whose measures have a sum of ______.</p><p>2 Name ______</p><p>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).</p><p>27.Find the lengths of AB and CD and determine whether they are congruent.</p><p>24.Find the coordinates of the midpoint of MN with endpoints M (-2, 6) and N (8, 0).</p><p>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.</p><p>3 Name ______</p><p>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.</p><p>30.Given points P (-2, -1) and Q (-1, 3), draw PQ and its reflection across the y-axis.</p><p>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.”</p><p>31.Find the coordinates of the image of F (2, 7) after the translation (x, y)  (x + 5, y – 6).</p><p>Chapter 2 32.Find the next item in the pattern. a. 0.7, 0.07, 0.007, … Chapter 3</p><p>36.Identify each of the following. b. …</p><p>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</p><p> b. Every prime number is odd. c. One pair of perpendicular segments</p><p> c. The square of an odd integer is even. d. One pair of parallel planes</p><p>4 Name ______</p><p>37.Identify each of the following. 39.State how the angles are related then find the unknown angle measures.</p><p> a. One pair of alternate interior angles a. m1 = 120, m2 = 60x</p><p> b. One pair of corresponding angles</p><p> c. One pair of alternate exterior angles</p><p> d. One pair of same-side interior angles b. m2 = (75x – 30), m3 = (30x + 60)</p><p> e. One pair of parallel lines</p><p> f. The transversal</p><p>38.What is the shortest segment? Write and c. m3 = (50x + 20), m4 = (100x – solve an inequality for x. 80)</p><p> d. m3 = (45x + 30), m5 = (25x + 10)</p><p>5 Name ______</p><p>40.Solve to find x and y in the diagram. 45.Write an equation of a line that is perpendicular to y = 3x + 2. </p><p>46.Write an equation of a line that coincides with y = 3x + 2.</p><p>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.</p><p>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).</p><p>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.</p><p>43.What is the slope of the line y = 3x +2? </p><p>44.Write an equation of a line that is parallel to y = 3x + 2. </p><p>6 Name ______</p><p>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?</p><p> b. 4x – 2y = 8 53.Find mABD </p><p>Chapter 4A</p><p>50.Classify each triangle by its angles AND side lengths.</p><p>54.Find mN and mP</p><p> a. MNQ</p><p> b. NQP</p><p> c. MNP</p><p>55.ABC  JKL 51.Find the side lengths of the triangle. a. AB = 2x + 12 and JK = 4x – 50. Find x and AB.</p><p> b. AC  _____</p><p> c. C  _____</p><p> d. K  _____</p><p>7</p>

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