ID: A
Ch 5 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find the value of x. The diagram is not to scale.
a.
____
32
b.
50
c.
64
d.
80
2. B is the midpoint of AC, D is the midpoint of CE, and AE = 11. Find BD. The diagram is not to scale.
a.
5.5
b.
11
c.
1
22
d.
4.5
Name: ________________________
____
3. Points B, D, and F are midpoints of the sides of ∆ACE. EC = 35 and DF = 23. Find AC. The diagram is not to scale. a.
____
70
b.
46
c.
11.5
d.
35
b.
5
c.
8.5
d.
8
d.
37
4. Find the value of x.
a.
____
ID: A
6
5. Find the length of the midsegment. The diagram is not to scale.
a.
22.6
b.
88
c.
2
44
Name: ________________________
____
6. Q is equidistant from the sides of ∠TSR. Find the value of x. The diagram is not to scale.
a.
____
27
b.
3
c.
15
d.
30
d.
6
7. DF bisects ∠EDG. Find the value of x. The diagram is not to scale.
a.
____
ID: A
23
42
b.
90
c.
30
8. Which statement can you conclude is true from the given information?
←
→
Given: AB is the perpendicular bisector of IK.
a.
b.
AJ = BJ
∠IAJ is a right angle.
c.
d.
3
IJ = JK
A is the midpoint of IK .
Name: ________________________
____
ID: A
9. Find the center of the circle that you can circumscribe about the triangle.
a.
1
(− , –4)
2
b.
(–3, −2)
c.
1
(− , −2)
2
____ 10. Where can the bisectors of the angles of an obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
a. I only
b. III only
c. I or III only
____ 11. In ∆ACE, G is the centroid and BE = 12. Find BG and GE.
a.
b.
BG = 4, GE = 8
BG = 3, GE = 9
c.
d.
4
BG = 8, GE = 4
BG = 6, GE = 6
d.
1
(−2, − )
2
d.
I, II, or II
Name: ________________________
ID: A
____ 12. Name a median for ∆PQR.
a.
PU
b.
RT
c.
PS
d.
QS
d.
not shown
____ 13. Name the point of concurrency