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Geometry Cumulative Test Review Sometimes, Always, Never 1. Linear pairs are adjacent. 2. An angle has a complement and a supplement. 3. Regular pentagons are congruent. 4. If βπΏππ β βπππ , then βπΏππ β βπ ππ. 5. Two triangles with two congruent corresponding sides and congruent corresponding nonincluded angles are congruent. 6. You can solve a right triangle if you have the measures of two acute angles. Open-Ended 7. Using the diagram, determine if the statement proves that the lines are parallel. a. ο2 ο ο3 b. ο1 ο ο2 1 3 c. ο3 ο ο4 d. ο3 supplementary ο2 e. ο1 ο ο4 8. For the statement βAll linear pairs are supplementaryββ¦ a. Write in if-then form. b. Write the converse of the statement. c. Is the converse true? If not, give a counterexample. 2 4 TRANSFORMATIONS 9. Find the image after performing each operation on the point (1, β2): a. Rotate 90° clockwise around the origin b. Reflect over the x-axis 10. Describe the translation that moves a point from (3, β5) to (β1, 0). 11. Describe in words how to create each transformation using only reflections: a. Rotation b. Translation TRIANGLES 12. Classify the triangle with side lengths of 9, 10, 15 by its sides and angles. 13. Give an example of 3 side lengths that a. DO form a triangle b. DO NOT form a triangle 14. The lengths 3, 4, 5 create a right triangle. If the hypotenuse is changed to having a length of 6, is the new triangle acute or obtuse? 5 15. If sin π΄ = 13, find cos π΄ and tan π΄. 16. You can solve a right triangle given what two possible combinations of information? 17. You can solve any triangle given the three side lengths (SSS) using the Law of ________. 18. Sketch and label each special segment in each triangle. a. Altitude d. Midsegment b. Angle Bisector e. Perpendicular Bisector c. Median 19. Identify the additional congruence (and reason) needed to make the triangles congruent based on the indicated pattern. A a. SSS b. SAS B D 20. Find the values of x and y. a. b. 21. A ramp to a loading dock must have an angle of elevation of less than or equal to 4.3°. Determine if the following ramps would be acceptable under this rule. Ramp #1: Ramp length of 100 feet, height of 5 feet Ramp #2: Horizontal length of 75 feet, height of 7 feet Ramp #3: Ramp length of 95 feet, horizontal length of 94 feet C 22. Given: AB ο AC and AM bisects οBAC Prove: BM ο MC 23. Given: AB ο AD and DE ο AD ; C is the midpoint of BE Prove: οB ο οE CIRCLES 24. What are the area and perimeter of a half circle with a diameter of 12 inches? 25. Given that (β3, 2) and (9, β4) are the endpoints of the diameter of a circle, write the equation of the circle in standard form. 26. Find the value of x. a. b. c. SOLIDS 27. Identify the solid that could be folded from each net. a. b. c. 28. A right square prism has a height of 5 meters and a base side length of 2 meters. If each side length of the base is doubled (but the height stays the same), how does the volume change? 29. The base of a right pyramid is a square and its height is 12 feet. If the volume of the pyramid is 400 cubic feet, how long is one side of the base? PROBABILITY 30. A jar contains 4 red, 7 blue, and 13 white marbles. Find the probability of selectingβ¦ a. One red marble b. One blue marble and then one white marble with replacement c. One blue marble and then one white marble without replacement