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Geometry Spiral Review 9 Name _______________________ Date __3-7-14___________ 1. Which statement is the converse of “If I am late, then I run”? (1) (2) (3) (4) If I am not late, then I do not run. If I do not run, then I am not late. If I run, then I am late. If I am not late, then I run. 2. Which statement is expressed as a biconditional? (1) Two angles are congruent if and only if they have the same measure. (2) Two angles are congruent if they have the same measure. (3) If two angles are both right angles, then they are congruent. (4) If two angles are congruent, then they are both right angles. 3. AB and CD intersect at point E, mAEC 6 x 20 , and mDEB 10 x . What is the value of x? 3 (1) 4 (3) 10 8 1 (2) 5 (4) 21 4 4. Which statement is logically equivalent to "If a triangle is an isosceles triangle, then it has two congruent sides"? (1) If a triangle does not have two congruent sides, then it is not an isosceles triangle. (2) If a triangle does not have two congruent sides, then it is an isosceles triangle. (3) If a triangle is not an isosceles triangle, then it has two congruent sides. (4) If a triangle is an isosceles triangle, then it does not have two congruent sides. 5. Two angles are complementary. The measure of one angle is 15° more than twice the other. What is the measure of the smaller angle? (1) 25° (2) 35° (3) 55° (4) 65° 6. Which statement is the inverse of "If the waves are small, I do not go surfing"? (1) If the waves are not small, I do not go surfing. (2) If the waves are not small, I go surfing. (3) If I do not go surfing, the waves are small. (4) If I go surfing, the waves are not small. 7. The statement "x is not the square of an integer and x is a multiple of 3" is true when x is equal to (4) 36 (2) 18 (3) 9 (4) 32 8. Given the true statements: "Jason goes shopping or he goes to the movies" and "Jason does not go to the movies." Which statement must also be true? (1) Jason goes shopping. (2) Jason does not go shopping and he does not go to the movies. (3) Jason does not go shopping. (4) Jason stays home. 9. If A and B are supplementary angles and m A = 8 m , find m A and m B. (1) 78.75, 11.25 (2) 80, 10 (3) 160, 20 (4) 157.5, 22.5 10. The locus of points equidistant from the points (4,-5) and (4,7) is the line whose equation is (1) y = 1 (2) x = 4 (3) x = 1 (4) y = 2