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GEOMETRY Quarterly 1 Review 1. A ray has ______________ endpoint(s). 2. If the measure of B is greater than 90 and less than 180°, then B is a(n) ________________ angle. 3. Three points all on the same line are called ________. 4. Let mA = 3x + 9. For what value of x will A be a right angle. 5. AOE is a straight angle. OD bisects COE. m AOB = 2x + 14, m BOC = x + 6, and m COD = x. Find m COD. C B A O _____ D E 6. M is the midpoint of CD . CM = x + 8 and CD = 4x - 8. Find MD. (Draw your own picture.) For #7 and #8, use the diagram below. W X Y O Z 7. Name two pairs of adjacent angles. 8. Given OY bisects XOZ, name two congruent angles. 9. Two lines intersect at a ____________. For #10-12, answer TRUE or FALSE using the following diagram. 10. M is between W and X. W Z M ____ 11. YZ 12. MW is the same as and WM YZ . are opposite rays. Y X 13. If angles A and B are complementary, then the sum of the angles is ______________. 14. If two lines form congruent adjacent angles, then the two lines are _____________. 15. m COD + m DOE = m COE, is an example of what definition, postulate, or theorem. 16. If m 1 = 150 and m 2 = 30 , then 1 and 2 cannot be which of the following. (Circle all that apply.) Congruent Adjacent Supplementary Vertical Complementary 17. Provide a counterexample to show the statement is false. If a triangle is acute, then the triangle has three angles measuring 60°. For #18-21, answer TRUE or FALSE. 18. The converse of a conditional statement is always false. 19. The measure of the supplement of 39 is 51 . 20. If x2 = 49, then x = 7. 21. If 2x + z = 20 and z = 3x, then 2x + 3x = 20, is an example of substitution. For #22-24, use the diagram below. 7 8 5 b 6 3 4 1 a 2 22. 4 and 5 are ________________ angles. 23. 3 and 5 are _______________ angles. 24. m 5 = 118°, m 2 = _________. 25. If 2 parallel lines are cut by a transversal, then the same-side interior angles are always ___________. 26. Find m 1. 80° 48° 1 27. What is the measure of each interior angle of a regular octagon. 28. Predict the next number in the sequence. 29, 31, 35, 41, ____ For #29-32, answer ALWAYS, SOMETIMES, or NEVER. 29. An equilateral triangle is _______________ acute. 30. If a triangle is isosceles, then it is ________________ obtuse. 31. If two parallel lines are cut by a transversal, then same-side interior angles are ______________ congruent. 32. The sum of the measures of the 2 remote interior angles is ____________ equal to the measure of an exterior angle.