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Per. Date Name Final Review: Chapter 1- Foundations (Points, Lines, and Planes) (Be Perfect!) 1. Which diagram shows the construction of the perpendicular bisector? A. B. D. -24N M 5x-8 2. " P 17 -•—> T w o angles whose measures have a sum equal to 90 degrees. F . Adjacent Angles H . Complementary Angles G. Supplementary Angles J . Angle Bisectors 3. H o w are the two angles related? 52° 128° Drawing not to scale A . Vertical Angles C. Complementary Angles B. S u p p l e m e n t a r y A n g l e s D. Adjacent Bisectors •J- Geometry 2012 Page 1 Name Date Per. Use the following chart and graph for problems 4 - 9 . yj - y^ m= —^ ! y ^ mx + b [ 4. 2 ' 2 i W h i c h formula would you use to solve the following problem?. Line segment 715 has endpoints A(2, - 3 ) and 5 ( - 4 , 6 ) . What are the coordinates of the midpoint? 5. Find the midpoint of PQ. round your answer to the nearest hundredth. 6. A . (-3,-1) C. (-2,-1) B. ( - 2 , 0 ) D. ( - 3 , 0 ) What formula would you use to find the distance from point P to point Q? 7. F i n d the distance from point P to point Q. A . 16.12 C . 4.24 B. 4.47 D. 260 Geometry 2012 Page 2 Name Date Per. 8. Find the coordinates of the midpoint of the segment whose endpoints are H (8, 2) and K (6, 10). F . (7,6) H . (14,12) G . (1,4) J . (2,8) 9. Find the perimeter of MBCl -1 y- it \ \ -VJ ~ 5 • /I \i-I 1 B ' —J I r J_J ih M i f A . 12 units C . 32 units B. 7 units D. 14 units 10. In the figure shown, m z l = (3;c + 2 ) ° a n d m z 2 = {Ix + 1 8 ) ' What is m z l ? F. 67° H.90° G. 23° J. 14° Geometry 2012 Page Name Date Per. 11. /11 and Ll are supplementary angles. /raZl = - 39, and /f^ZS = 61. Find the measure of each angle. A . Z l = 79, Z 2 = 101 C . ^1 = B. ^1 = 40, ^ 2 = 140° D. Z l = 79. Z 2 = i l l 12. Let ^ 2 = 150 a n d z 5 be complementary angles and m z 5 = ( 3 x + 5 2 ) ° . F i n d mZ.A. F. ( 3 8 - 3 > : ) ° H . (232 - 3 x ) ° G. ( 1 4 2 - 3 ; c ) ° J . (128 - 3;c)° . 2 x - 12, ./^'G = 3;c- 15, a n d ^ G = 23, find the values of A:, EF, and F G . The drawing is not to scale.. 13. / f E X. X = IQ.EF B. X = 3.EF F G = 8,FG =-6,FG = 15 C. x =-6 D. = 10,EF x = 3, EF = 32,FG = 45 = S, FG = 15 14. If you were asked to solve the problem: If E F = lOx - 5, F G = 7x - 25, and E G = 16x + 40 find the values of x, EF, and FG. The drawing is not to scale.. E F G What equation would you use to solve for x? 15. What equation would you use to solve the following problem? BT bisects /.WBM, mZ.WBT = (200x - 2 3 6 ) ° and mzJBM = ( 4 2 5 x - 3400)^ Find mAWBM Equation: Geometry 2012 Page 4 Name Date Per, 16. If T is the midpoint of SU, find the values of x and ST. The diagram is not to scale. •s •u T • 9x 4x+25 F . jc = 5,5r=45 H . x = 10,57=60 G. x^5,ST=60 J . ;c= 10,57=45 17. Draw and label a picture such that bisects angle Z X R Z , m Z X R T = (8x - 26)° and m Z T R Z = (4x + 34)°. Find m z X R Z 18. If m z A = (x - 20)°, find the measure of the supplement of z A . 19. W h i c h of the following is not an undefined term in geometry? A . plane C . bisector B. point D. line 20. H o w many pairs of skew lines are shown? F. 24 H . 48 G . 12 J. Geometry 2012 4 Page