Essentials of Geometry Test Review

Essentials of Geometry Test Review

<p>Name: Date: Ms. D’Amato Block: </p><p>Essentials of Geometry Test Review</p><p>Part I: Matching. </p><p>For questions #1 – 30, match each term on the left with its definition on the right.</p><p>1. Undefined terms</p><p>2. Collinear points </p><p>3. Coplanar points</p><p>4. Defined terms</p><p>5. Line segment</p><p>6. Ray</p><p>7. Opposite rays</p><p>8. Intersection</p><p>9. Postulate/axiom</p><p>10. Coordinate</p><p>11. Distance</p><p>12. Between</p><p>13. Congruent segments</p><p>14. Midpoint</p><p>15. Segment bisector</p><p>16. Point</p><p>17. Line</p><p>18. Plane 19. Complementary Angles</p><p>20. Supplementary Angles</p><p>21. Acute Angle</p><p>22. Obtuse Angle</p><p>23. Right Angle</p><p>24. Straight Angle</p><p>25. Linear Pair Angles</p><p>26. A. line segment AB</p><p>27. B. distance of AB</p><p>28. C. ray AB</p><p>29. D. congruent to</p><p>30. E. line AB</p><p>Part II: Identify Points, Line and Planes.</p><p>For questions #31 – 34, use the diagram to the right.</p><p>31.] Name the sets of collinear points.</p><p>32.] What is the intersection of line m and line l?</p><p>33.] What is the intersection of plane S and plane R?</p><p>34.] What is another name for plane R? for plane S? For questions #35 – 42, use the diagram to the right.</p><p>35.] Name the intersection of and .</p><p>36.] Name the intersection of plane EFG and plane FGS.</p><p>37.] Name the intersection of plane PQS and plane HGS.</p><p>38.] Are points P, Q, and F collinear? Are they coplanar?</p><p>39.] Are points P and G collinear? Are they coplanar?</p><p>40.] Name three planes that intersect at point E.</p><p>41.] Identify, if any, a point that is coplanar with points P, E, and R.</p><p>42.] Identify, if any, three points that are collinear.</p><p>Part III: Use Segments and Congruence</p><p>43.] In the diagram of collinear points, GK = 24, HJ = 10 and GH = HI = IJ. Find the indicated lengths.</p><p>A] HI = B] IJ = </p><p>C] GH = D] JK = </p><p>E] IG = F] IK = For questions #44 – 45, find the indicated length.</p><p>44.] Find BC. 45.] Find RT.</p><p>46.] Point S is between R and T on . Use the given information to write an equation in terms of x. Solve the equation. Then find RS, ST and RT. Draw a picture!</p><p>RS = x – 5 ST = 3x + 2 RT = 6x – 23</p><p>Part IV: Use Midpoint and Distance Formulas</p><p>For questions #47 – 48, M is the midpoint of the segment. Find the indicated length.</p><p>47.] Find MF. 48.] Find LN.</p><p>For questions #49 – 50, find the coordinates of the midpoint of the segment with the given endpoints.</p><p>49.] C(-4, 4) and D(7, 2) 50.] G(7, -6) and H(5, -8)</p><p>For questions #51 – 52, use the given endpoint R and midpoint M of to find the coordinates of the other endpoint S.</p><p>51.] R(0, 5), M(3, 3) 52.] R(-1, -3), M(5, 9)</p><p>For questions #53 – 54, find the length of the segment with the following points.</p><p>53.] (-2, -4) and (3, 8) 54.] (-5, 8) and (-10, 14)</p><p>For questions #55 – 56, the endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent.</p><p>55.] : A(1, 1), B(0, 5) 56.] : J(4, 3), K(-1, 6) : C(1, 1), D(-3, 2) : L(2, -3), M(-2, 0) Part V: Measure and Classify Angles</p><p>57.] Given mADC = 118°, find mADB. 58.] Given mEHG = 77°, find mFHG.</p><p>For questions #59 – 61, bisects ABC. Find mABC.</p><p>59.] 60.]</p><p>61.] Careful with this one!</p><p> mABC = 15x – 21 mDBC = 6x + 3 Part VI: Describe Angle Pair Relationships</p><p>62.] The measure of one angle is three times the measure of its complement. Find the measure of each angle. Draw a picture.</p><p>63.] Two angles form a linear pair. The measure of one angle is 15 times the measure of the other angle. Find the measure of each angle. Draw a picture.</p><p>For questions #64 – 68, find the values of x and y. Then find the measure of each angle.</p><p>64.] 65.] 66.] 67.] </p><p>68.] </p><p>69.] A and B are complementary angles. 70.] A and B are supplementary angles Find mA and mB. Find mA and mB.</p><p> mA = (4x – 18)° mA = (x + 50)° mB = (6x – 18)° mB = (x + 100)°</p>

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