Shively 9/11/2012
Geometry Chapter 1 Review
Name Round all answers to 2 decimal places
1. Use the midpoint formula to find the coordinates of the midpoint of a segment with the given endpoints.
*Remember: Midpoint:
a) A(-7, 2) b) A(4, 8) c) A(5, 3) d) A(8, 5)
B(3,0) B(6, 6) B(-7, 3) B(6, -1)
2. Find the coordinates of the other endpoint of the segment with the given endpoint T and midpoint M.
a) T(4,1) b) T(1, 5) c) A(8, 5) d) A(6, -1)
M(3,0) M(4, 3) B(-1, 3) B(5, 3)
3. (a) Write one name for the angle at right.
R
(b) What is the name of its vertex?
(c) What are the names of its sides?
(d) Use a protractor to measure the angle at right.
L
(e) Use construction tools to find the angle bisector. N
4. Use constructions tools to find the segment bisector of the segment below.
is the angle bisector of . Find the two angle measures not given in the diagram.
R
5. T 6.
R T
P S P S
is the angle bisector of . Find the value of x.
7.
(3x + 6)o
3 1
For questions 8-12 use the figure at the right. 2
8. Identify a pair of vertical angles. 4 5
9. Identify a pair of supplementary angles.
10. Identify a linear pair.
11. If m3 = 58°, then m5 = 12. If m3 = 58°, m4 =
13. Use the distance formula to find the distance between the two endpoints for each line segment below. Which two segments are congruent?
*Remember: Distance:
a) A(0,1) b)C(4,7) c)E(-9, 3)
B(2,4) D(2, 3) F(-6,1)
14. Use the angle addition postulate to find the measure of the unknown angle. m
E
C
F
D
15. Write the name of the line below. 16. Write the name of the ray below.
F M R
K
17. Use the diagram at right to solve for the unknown angle:
1
a) If m1 = 147o, then m4 = 2 3
4
b) If m2 = 56o, then m4 =
c) If m 3 = 49o, then m2 =
d) If m4 = 147o, then m3 =
18. solve for x
6xo
(4x + 16)o
19. solve for y
(9y – 187)o
(11y – 253)o
For questions 20-23, A and B are complementary, while P and Q are supplementary.
20. If mA = 48o, then mB = If mA = 77o, then mB =
21. If mP = 129o, then mQ = If m Q = 35o, then mP =
22. If mA = (4x - 4)o and mB = (4x +22)o, then x =
23. If mP = (4x - 22)o and mQ = (6x - 8)o, then x =