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Final Exam Review - Congruency & Right Triangles

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
4.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
5.
What is the correct choice for Reason 3?
a)
Vertical Angles are Congruent
b)
Definition of Congruence
c)
Given
d)
Reflexive Property
6.
What is the correct choice for Reason 4?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
7.

What is the correct choice for Statement 3?

a)

∆STU ≅ ∆UVT

b)

∆STU ≅ ∆VUT

c)

∆UTS ≅ ∆UTV

d)

∆TUS ≅ ∆UVT

8.

Identify the missing statement.

a)

LN ≅ MJ

b)

JK ≅ NK

c)

MK ≅ LK

d)

∠JKM ≅ ∠NKL

9.

What is the "statement" for step 3 of the proof?

a)

∠EDA ≅ ∠DCB

b)

∠AED ≅ ∠BEC

c)

DE ≅ CE

d)

∠AED ≅ ∠CED

10.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Congruent Pieces of Corresponding Triangles are Congruent

d)

Congruent Pieces of Congruent Triangles are Congruent

11.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
12.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
13.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
14.

Find the measure of the indicated angle (?) and round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

15.

Choose the correct ratio.

a)


sin(37)=x14\sin\left(37\right)=\frac{x}{14}

b)

cos(37)=x14\cos\left(37\right)=\frac{x}{14}

c)

tan(37)=x14\tan\left(37\right)=\frac{x}{14}

d)

cos(37)=14x\cos\left(37\right)=\frac{14}{x}

16.

A 30 ft ladder is leaning and makes a 25 degree angle with the building. About how far is the base of the ladder from the base of the building?

a)

27 feet

b)

13 feet

c)

18 feet

d)

33 feet

17.

Find the value of x.

a)


252\sqrt{5}

b)

353\sqrt{5}

c)

454\sqrt{5}

d)

10510\sqrt{5}

18.

What is the length of the diagonal of a square with a side length of 12 cm?

a)

12212\sqrt{2} cm

b)

12 cm

c)

24 cm

d)

12312\sqrt{3} cm

19.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
20.

Which of the following statements is true?

a)

Sin 40 = Cos 40

b)

Sin 50 = Tan 40

c)

Sin 40 = Cos 50

d)

cos 40 = Tan 50