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Cumulative Review WS 1. Which statement is NOT true? A Parallel lines do not intersect. B A segment has exactly two endpoints. C Two planes that do not intersect are always skew. D A ray has exactly one endpoint. 7. The measures of two supplementary angles are and . What is the measure of the smaller angle? 2. How many different rays can be named using three collinear points P, Q, and R? F 1 G 2 H 3 J 4 3. The midpoint of what is YZ? is Z. If and 8. What is the area of a rectangle whose sides measure 2g and ? , 9. To the nearest whole number, what is the circumference of a circle whose radius is 12.5? Use 3.14 for . 4. What is RS? 10. The midpoint of is coordinates of W are . If the , what are the coordinates of V? 5. Which is the measure of a straight angle? 11. What is the distance from to on the coordinate plane? 6. What is ? 12. What are the coordinates of the image of after the translation 13. What transformation maps A rotation B rotation C reflection over the x-axis D reflection over the y-axis ? to ? 14. Find the next item in the pattern. 2, 8, 18, 32, 50, 72, . . . 15. Which is a counterexample that disproves the conjecture “If the area of a rectangle is 36 square units, then the perimeter is less than 36 units”? A a 6 by 6 rectangle B a 4 by 9 rectangle C a 3 by 12 rectangle D a 2 by 18 rectangle 16. Which conditional statement is true? F If it is raining outside, then the ground is wet. G If a person lives in the United States, then the person lives in Chicago. H If a number is divisible by 3, then the number is odd. J If today is Saturday, then yesterday was Sunday. 17. What is the inverse of the statement “If the key fits, then the lock opens”? 18. Given: If Maria passes geometry, then she will graduate. Maria passes geometry. What can you conclude by the Law of Detachment? F Maria will take geometry. G If Maria does not graduate, then she is not taking geometry. H If Maria does not take geometry, then she will graduate. J Maria will graduate. 19. Given: If all four angles of a parallelogram are right angles, then the parallelogram is a rectangle. If a parallelogram has at least one right angle, then all four angles are right. Which conjecture is valid by the Law of Syllogism? A If a rectangle has four right angles, then the rectangle is a parallelogram. B If a parallelogram has at least one right angle, then the parallelogram is a rectangle. C If all four angles of a parallelogram are right angles, then at least one angle is a right angle. D If a parallelogram is a rectangle, then the parallelogram has at least one right angle. 20. Which is a biconditional statement for the given conditional? If two coplanar lines do not intersect, then they are parallel. F Two coplanar lines intersect if and only if they are not parallel. G Two coplanar lines do not intersect if and only if they are parallel. H Two coplanar lines are not parallel if and only if they intersect. J Two coplanar lines intersect if and only if they are parallel. 21. Which biconditional statement is true? A Peter lives in Cincinnati if and only if he lives in Ohio. B A rectangle has sides 3 and 5 if and only if its area is 15. C Two segments are congruent if and only if they have the same measure. D Two angles measure if and only if they are supplementary. 22. If F G H J and , why is Addition Property of Equality Multiplication Property of Equality Symmetric Property of Equality Substitution Property of Equality 23. Which property justifies the statement “If and , then ”? 24. What is missing from the proof? Given: , Prove: is a right angle. Proof: F Definition of congruence G Definition of perpendicular H Definition of right angle J is a right angle. ? 29. If , which lines must be parallel? 25. Which pair of angles are corresponding angles? A and B and C and D and A B C D only only only 30. Which angle must be congruent to ? 26. to prove that Which completes the statement “Angles 6 and 7 are an example of ________ angles”? 27. If lines p and q are parallel, what is the value of x? 31. Which inequality must be true, given the information in the figure? A B C D 28. If 15 30 45 90 , what are the measures of the given angles? A B C D 32. In the figure, x? . What is the value of 33. What is the slope of the line whose equation is ? 38. is an isosceles triangle. side with length . = . Find . is the longest and = 8 x+ 5 A 34. What is the slope of a line parallel to the graph of ? B 3 x +9 4x+ 4 C 35. What is an equation of the line in the graph? 39. Daphne folded a triangular sheet of paper into the shape shown. Find , given , , and m . E D C 42º 36. A 61º 22º B Classify and . F skew segments G parallel segments H perpendicular segments J parallel planes 37. Prove that the triangles with the given vertices are congruent. A(3, 1), B(4, 5), C(2, 3) D(–1, –3), E(–5, –4), F(–3, –2) 40. One of the acute angles in a right triangle has a measure of . What is the measure of the other acute angle? 41. Find . 44. Given: Identify all pairs of congruent corresponding parts. L ( A M (4x + 7)º B (6x - 9)º C O N 118º K M F N , , G , , , , , , , , , , J , , , H , , , , , 42. Find and , and , given , 45. Given: , the midpoint of . , . T is . N R F S D E 43. Find m P , given M , , and m . A B E D C F Prove: T U