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Geometry: Chapter 1 Review Name: ________________________________________ Distance: Midpoint: Period: _________ All work and answers should be on notebook paper. Matching: __________ Points that lie on the same line __________ Points that lie on the same plane __________ AB A. Acute angle B. Linear pair __________ AB C. Complementary angles __________ AB D. Collinear __________ AB E. The distance between point A and point B __________The point that divides a segment into two congruent segments __________ A point, ray, line, line segment or plane that intersects a segment at its midpoint F. Midpoint G. Vertical Angles H. Line AB __________ An angle that measures between 0° and 90° I. Coplanar __________ An angle that measures between 90° and 180° J. Supplementary angles __________ A ray that divides an angle into two K. Angle bisector congruent angles __________ Two angles whose sum is 90° __________ Two angles whose sum is 180° __________ Two adjacent angles whose non-common sides are opposite rays L. Segment AB M. Obtuse angle N. Segment bisector O. Ray AB __________ Two angles whose sides form two pairs of opposite rays For 1-8, name the object(s) in the diagram. 1. Give two other names for . _________ 2. Name three points that are collinear. _______ 3. 4. 5. 6. 7. 8. Give another name for plane P. _________ What is another name for ? _________ Name two pairs of opposite rays. __________ Give another name for . ___________ Name the intersection of line l and . __________ Name the intersection of plane P and line l. __________ 9. Draw four points R, S, T, and V on a line so that same ray. 10. Point B is between A and C on and are opposite rays and 12. Find XY. 32 3x are the . Find AB and BC if AB = 7x + 2, BC = 2x – 1, AC = 64. 11. Find TV and VW. T and V 71 x+8 W X Y 29 Z 13. PS = 46, PR = 18. Find RS. P Q 14. M is the midpoint of 15. Point M bisects R S . Find GM. . If GM = 4x – 9 and MH = 2x + 5, draw a picture and find MH. 16. Find the coordinates of the midpoint of the segment with endpoints G (-6, 7) and H (10, -1). (formula is at the top of pg 1) 17. Find the coordinates of the other endpoint of a segment with given endpoint and midpoint. a. Q (2, -3) and midpoint M (-6, -4). (formula is at the top of pg 1) 18. Find the distance, AB, given A(2, 6) and B(0, 3). (formula is at the top of pg 1) 19. Given m 21. = 123, find m bisects 22. Given that . Find m bisects . 20 Given m if m , find m = 70, find m = 3x + 17 and m and m if m . = 7x – 39. = 51. 23. Use the diagram below to answer a and b. a. Name an angle complementary to b. Name an angle supplementary to W X O V Y Z 24. and are complementary angles. a. Given the measure of m b. , find m . 25. Find the measure of the numbered angles. 2 154 1 3 4 85 59 5 26. Two angles form a linear pair. The measure of one angle is 4 times the measure of the other angle. Find the measure of each angle. 27. and are supplementary angles. Given the measure of a. =97° , find . b. 28. For each angle, give its measure and classify it as acute, right, or obtuse. Angle Measure Classification D M DOM ____29°___ __________ DOG __________ __________ GOM __________ _right 29 ___ 90˚ G O Solve the following equations (Algebra 1 Review) 29. 3(10+x)=28 30. -5x+8=128 31. 10(x-3)=4x+10 32. 4x-11=4-x