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Relationships in Triangles Review

Total questions: 42

Worksheet time: 43mins

Name
Class
Date
1.

Find x.

a)

32

b)

62

c)

31

d)

13

2.

Find x.

a)

52

b)

104

c)

26

3.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
4.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
5.

Find x

a)
x = 15
b)
x = 13
c)
x = 12
d)
x = 11
6.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

7.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

8.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

9.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

10.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

11.

P is the incenter of triangle JKL. Find ML.

a)

8.95

b)

9.35

c)

10.25

d)

12.65

12.

Can these sides form a triangle? 2, 9, 5

a)

Yes

b)

No

13.

Can these sides form a triangle? 6, 4, 4

a)

Yes

b)

No

14.

Which of the following could be the third side of a triangle with sides 5.2 and 7.2? Check all that apply.

a)

21

b)

2

c)

9

d)

12.4

e)

11

15.

Which of the following could NOT be the third side of a triangle with sides 35 and 14? Check all that apply.

a)

21

b)

48

c)

26

d)

35

e)

14

16.

If the measures of 2 sides of a triangle are 57 and 32, what is the LEAST possible measure of the third side if the measure is an integer?

a)

25

b)

26

c)

88

d)

89

17.

What is the LONGEST side in this figure?

a)

AB

b)

BC

c)

CD

d)

DA

e)

DB

18.

Which equation should be used to solve for x?

a)

2(13x -15) = 4x +21

b)

13x - 15 + 4x +21 = 180

c)

2(4x + 21) = 13x - 15

d)

4x + 21 = 13x - 15

19.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
20.

List the sides of triangle ABC in ASCENDING order if <A=36 degrees and <B=81 degrees. 

a)

AB, BC, CA

b)

BC, AB, AC

c)

BC, AC, BA

21.
1.  If m<LJK = 28°, what is m<MLK?
a)
56
b)
112
c)
62
d)
124
22.
a)

3x + 17 = 8x - 46

b)

3x + 17 + 8x - 46 = 180

c)

3x + 17 - 8x - 46 = 180

d)

2(3x + 17) = 8x - 46

23.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
24.

Will these three sides form a triangle?

a)

yes

b)

no

25.
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?
a)
16 inches
b)
5 inches
c)
32 inches
d)
29 inches
26.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
27.

Point O is the incenter of the triangle. Find OF

a)

OF = 6

b)

OF = 7.2

c)

OF = 4

d)
Not enough information
28.
Identify the smallest angle.
a)
∠K
b)
∠L
c)
∠M
29.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm
a)
more than 3 but less than 11
b)
more than 11 but less than 3
c)
less than 3 but more than 11
30.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
31.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
32.

Z is the circumcenter of triangle TUV. Find TU.

a)

34

b)

42

c)

30

d)

38

33.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
34.

P is the incenter of triangle JKL. Find OP.

a)

8

b)

13

c)

17

d)

4

35.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
36.
If m∠CAP = 34° , find ∠CAB.
a)
A. 17°
b)
B. 34°
c)
C. 68°
d)
D. 90°
37.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
38.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
39.
What is true about the midsegment EF?
a)
EF = 1/2 AB
b)
EF // AB
c)
EF = 1/2 AC
d)
none of these are true
40.
ED is the midsegment of triangle ABC. Find BC
a)
10.2
b)
12.5
c)
20.4
d)
22.7
41.
The mid segment of the triangle is 5x-1. Find the value of x.
a)
x = 6
b)
x = 7
c)
x = 11.8
d)
x = 12.4
42.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7

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