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Chapter 5 Review

Total questions: 41

Worksheet time: 3hrs 31mins

Name
Class
Date
1.

Which of the following segments represents a perpendicular bisector?

a)

BX

b)

AZ

c)

AC

d)

BZ

2.

Which of these is an angle bisector?

a)

segment KI

b)

ray GL

c)

line JM

d)

line HJ

3.

Which of these is a median?

a)

segment KI

b)

ray GL

c)

line JM

d)

line HJ

4.

Which of these is a perpendicular bisector?

a)

segment KI

b)

ray GL

c)

line JM

d)

line HJ

5.

If segment YW is an angle bisector, which statement is true?

a)

∠YWZ is a right angle

b)

∠XYW ≅ ∠ZYW

c)

XW = WZ

d)

XY = ZY

6.

If segment YW is a median, which statement is true?

a)

∠YWZ is a right angle

b)

∠XYW ≅ ∠ZYW

c)

XW = WZ

d)

XY = ZY

7.

Which side is the longest in △ABC?

a)

AB

b)

BC

c)

AC

d)

Cannot tell.

8.

Name the angle with the greatest measure in △DEF.

a)

∠D

b)

∠E

c)

∠F

d)

Cannot tell

9.

Find the value of x.

a)

9

b)

27

c)

11

d)

32

10.

Which of the following sets of numbers can be the lengths of the sides of a triangle?

a)

5, 6, 11

b)

2, 3, 7

c)

4, 8, 9

d)

7, 9, 18

11.

What is the relationship between the lengths of 𝑄𝑆 and 𝑅𝑆 ?

a)

QS = RS

b)

QS < RS

c)

QS > RS

d)

Cannot tell

12.

What is the relationship between DC and AD?

a)

DC = AD

b)

DC < AD

c)

DC > AD

d)

Cannot tell

13.

What is the relationship between the measures of ∠1 and ∠2?

a)

m∠1 = m∠2

b)

m∠1 > m∠2

c)

m∠1 < m∠2

d)

cannot tell

14.

Ralph wants to plant a garden in the widest corner of his triangular backyard. The backyard is bordered by the back of the house that is 50 feet long, fence A that is 27 feet long, and fence B that is 35 feet long. Which corner has the widest measure? (Hint: Draw a picture.)

a)

All three corners have the same measurement.

b)

The corner between fences A and B.

c)

The corner between the back of the house and fence A.

d)

The corner between the back of the house and fence B.

15.

Which of these is an altitude?

a)

segment KI

b)

ray GL

c)

line JM

d)

line HJ

16.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
17.
Describe the possible lengths for the third side of the triangle given the two sides 10 and 5.
a)
5 < x 10
b)
0 < x < 10
c)
0 < x < 15
d)
5 < x < 15
18.
Describe the possible lengths for the third side of the triangle given the two sides 4 and 4.
a)
4 < x < 8
b)
0 < x < 8
c)
8 < x < 0
d)
0 < x < 4
19.
Do the following side lengths form a triangle?
5, 6, 9
a)
Yes
b)
No
20.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
21.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to 
d)
Half of
22.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
23.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
24.
1.  If m<LJK = 28°, what is m<MLK?
a)
56
b)
112
c)
62
d)
124
25.
1.  PQ  is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
26.

IZ is a median for the triangle

a)

7.2

b)

6

c)

3

d)

5

27.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
28.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
29.
Determine whether it is possible to draw a triangle with sides of the given measures. 18cm, 20cm, 40 cm.
a)
yes
b)
no
30.
Arrange the unknown from greatest to least.
a)
b> a> c
b)
c>a>b
c)
a>c>b
d)
b>c>a
31.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
32.
Which set of numbers may represent the lengths of the sides of a triangle?
a)
{2,5,9}
b)
 {6,6,7}
c)
{6,4,2}           
d)
{7,8,1}
33.
In ∆XYZ, the angles have the following measures: 
m∠x = 40°; m∠y = 60°; m∠z = 80°
Which list shows the sides in order from longest to shortest?
a)
XY, XZ, YZ
b)
XY, YZ, XZ
c)
YZ, XZ, XY
d)
ZY, XY, ZX
34.

BC _____ EF

a)

<

b)

>

c)

=

d)

No conclusion can be made.

35.
a)

A

b)

B

c)

C

d)

D

36.
a)

A

b)

B

c)

C

d)

D

37.
a)
11
b)
22
c)
5.5
d)
3.67
38.

Each figure shows a triangle with one of its angle bisectors.

a)

A

b)

B

c)

C

d)

D

39.

Each figure shows a triangle with one of its angle bisectors.

a)

A

b)

B

c)

C

d)

D

40.

Each figure shows a triangle with one or more of its medians.

a)

A

b)

B

c)

C

d)

D

41.

Each figure shows a triangle with one or more of its medians.

a)

A

b)

B

c)

C

d)

D

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