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Triangle Theorems Chapter 5 2nd

Total questions: 25

Worksheet time: 45mins

Name
Class
Date
1.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
2.
If all three angles are exactly the same measure, how big is each angle?
Hint:    x + x + x  = 180
a)
180 degrees
b)
90 degrees
c)
50 degrees
d)
60 degrees
3.
How many DEGREES are in a triangle?
a)
180
b)
6
c)
3
d)
10
4.
What is the measure of angle x?
a)
45
b)
60
c)
65
d)
75
5.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
6.
a)
A
b)
B
c)
C
d)
D
7.
Find the value of x
a)
41
b)
45
c)
31
d)
98
8.
What is the measurement  of the missing angle?
a)
90°
b)
58°
c)
57°
d)
180°
9.
What is the measurement of the missing angle?
a)
130°
b)
90°
c)
50°
d)
60°
10.
What is the measurement of the missing angle?
a)
150°
b)
30°
c)
180°
d)
60°
11.

Classify the triangle by its angles and sides. There will be 2 answers.

a)

Acute

b)

Obtuse

c)

Right

d)

Isosceles

e)

Scalene

12.

Can you prove these triangles are congruent using the SAS Theorem?

a)

Yes. RT = UT

ST = VT

and <T = <T.

b)

Yes. RT = TU

ST = UT

and <U = <S.

c)

No. SR is not equal to UV.

d)

No. There is not enough information.

13.

Can you prove these are congruent using SAS Theorem?

a)

Yes. There are 2 sides and an included angle congruent.

b)

Yes. There are 2 angles and 1 side congruent.

c)

No. The angle is not an included angle.

d)

No. ML is not equal to QP.

e)

No. There is not enough information,

14.

Congruent figures...

a)

Have the same dimensions (side lengths and angle measures)

b)

Are the same shape and size

c)

Can be mapped onto one another using rigid motions

d)

All of the above

15.

Are the following triangles congruent? If so, how do you know?

a)

Yes. because of there are 2 sides and an included angle that are congruent.

b)

Yes. because there are 2 angles and one side congruent.

c)

No because the angle is not an included angle.

d)

No because YZ does not equal ZW.

e)

No, not enough information given

16.

How would you name the triangle that is congruent to triangle XYZ?

a)

Triangle WXZ

b)

Triangle ZWX

c)

Triangle XWZ

d)

Triangle XZW

17.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
18.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
19.

If ∆SOK ≅ ∆LMT, then

∠K ≅ ____

a)

∠S

b)

∠T

c)

∠M

d)

∠L

20.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
21.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
22.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
23.
Use the congruency statement to answer the following: 
∠F = ∠ ___
a)
H
b)
I
c)
G
d)
not congruent to another angle
24.
In congruent triangles, corresponding parts are always ______.
a)
opposite
b)
equal
c)
equilateral
d)
acute
25.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
AB = AZ
b)
∠B ≅ ∠Y
c)
∠X ≅ ∠C
d)
AC = XC