Chapter 5 Review
Geometry
Name: ______________________________
1. In the diagram below, WY is the perpendicular bisector of AB. Find BY.
Y
7x – 4
A
5x + 6
W
3x + 10 B
In the diagram below, KM bisects OKQ, KM  OQ , and OP  PQ .
2. KM is called an ___?___
O
L
10
3. Find PQ.
K
M
P
8
N
4. Find LM.
13
Q
5. If mLKN = 25°, find mLMK.
Use the diagram to answer questions 6 – 9.
C
CD, BL, and AK are are medians of ∆ABC.
CB  AK. QD = 3, QB = 8.
Given:
L
Q
K
A
D
6. Find QC.
B
7. Find BL.
8. Find CD.
9. If CK  BK , then AK is best described as a(n)
a) perpendicular bisector
b) altitude
c) median
d) angle bisector
In the diagram, UV and WU are midsegments
of ∆XYZ.
X
W
10. Find YV.
Y
5
V
U
11. Find WX.
Z
12. Find XY.
13. In the diagram below, identify the hypotenuse.
R
S
T
8
Match the letter of the formulas correctly.
14. Slope
A. d  ( y 2  y1 ) 2  ( x2  x1 ) 2
15. Midpoint
 x  x2 y1  y 2 
B. M   1
,

2
2


16. Distance
C. y = mx + b
17. Slope-intercept form
D. m 
y 2  y1
x2  x1
#18 – 20. Write all formulas and show all work.
18. Find the coordinates of the midpoint of A(2, 1) and B(4, 7).
19. Find the distance between A(2, 1) and B(4, 7).
20. Find the slope of the line connecting A(2, 1) and B(4, 7).
A
21. Label the angles from smallest to largest.
21
17
C
B
12
S
157°
22. Which is the shortest side?
16°
R
T
23. Use the triangle to solve the inequality AB + BC > AC.
A
3x + 2
6x + 3
C
24. By using the Hinge Theorem, which statement
MUST be true?
a) m1 > m 3
b) m1 = m 2
c) m1 > m 2
d) m1 < m 2
e) m4 > m 2
B
4x + 5
12
3
1
4
2
10
25. Which is a possible length of AC?
a) 10
b) 12
c) 13
d) 15
e) 17
A
D
15
45
50
C
B
F
E
Match each term with the correct picture below.
26. Altitude _____
27. Median _____
28. Perpendicular Bisector ___
B.
C.
A.
Points K, L, and D are the midpoints.
C
K
30. If CQ = 9, then CD = _______
31. IF AK = 21, then AQ = _______
B
L
Q
D
A
Use the diagram of ABC to the right.
Points D, E, and F are midpoints.
A
E
D
32. Segment EF is parallel to _________
33. If ED = 20, then BC = _________
B
F
34. If AD = 16, then what two other parts are also 16? _________ , _________
35. If BE = 6, then EA = _________
36. If mADE = 70, mC = _________
37. If the perimeter of ABC = 50, then the perimeter of DEF = _________
38. If EF = 2x + 9 and AD = 5x + 3, find the value of x.
C