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Worksheets

Triangles Review

Total questions: 30

Worksheet time: 45mins

Name
Class
Date
1.

Find the value of  x.  



(a)  

2.

Find the value of  x.  

a)

8

b)

15

c)

27

d)

62

3.

Find the value of  x.  



(a)  

4.

Which of the following statements must be TRUE?

a)

PS>RS\overline{PS}>\overline{RS}

b)

QRPS\overline{QR}\parallel\overline{PS}

c)

mRQS>mPQSm\angle RQS>m\angle PQS

d)

mRSQ>mPSQm\angle RSQ>m\angle PSQ

5.

In the diagram DE=16,\ DF=24,  and  SF=9.SF=9.  What is the length of  RT?RT?   

a)

9

b)

18

c)

27

d)

48

6.

A triangle has side lengths 14 in and 10 in. What is the range of possible lengths for the third side (x)?

a)

4<x<144<x<14

b)

4<x<244<x<24

c)

10<x<1410<x<14

d)

10<x<2410<x<24

7.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
8.
What is the measure of angle Y?
a)
60
b)
40
c)
140
d)
100
9.
Order the sides from least to greatest. 
a)
DE, VE, DV
b)
VE, DE, DV
c)
DV, VE, DE
d)
DE, DV, VE
10.

Solve for x.

a)

x = 3

b)

x = 4

c)

x = 7

d)

x = 5

11.

Tell whether the angles are adjacent or vertical. Then find the value of x

a)

Adjacent; x= 30

b)

Adjacent; x= -30

c)

Vertical; x= 30

d)

Vertical; x= 10

12.

Find the missing third angle.

a)

55

b)

5

c)

65

d)

85

13.

Find the value of x.

a)

x = 36

b)

x = 39

c)

x = 40

d)

x = 78

14.
a)

1,000 ft

b)

500 ft

c)

750 ft

d)

2,000 ft

15.
Which could be a set of measurements for an obtuse triangle
a)
90, 40, 50
b)
60, 60, 60
c)
110, 30, 40
d)
50, 85, 45
16.
A triangular piece of wood has sides that are 9 inches, 15 inches, 7 inches long. Which of the following best describes this triangle?
a)
Equilateral
b)
Scalene
c)
Isosceles
d)
Obtuse
17.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
18.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
19.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
20.
What is the correct congruence statement?  ΔLEU≅______
a)
ΔLGE
b)
ΔLEG
c)
ΔELG
d)
Not Congruent
21.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
22.

How are these triangles similar?

a)

AA~

b)

SAS~

c)

SSS~

d)

Not Similar

23.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
24.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

25.

In similar Triangles, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

26.
a)
5
b)
10
c)
12
d)
15
27.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Incenter

c)

Orthocenter

d)

Centroid

28.

Using Hinge Theorem which side is bigger?

a)

AR

b)

RB

c)

AR and RB are congruent.

d)

There is not enough information

29.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
30.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information