Quiz about Congruency and Similarity Test

Question 1

Are these triangles similar?

Accepted Answer

Yes

Answer

No

Question 2

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 12

Answer

x = 3

Answer

x = 40

Answer

x = 4

Question 3

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 5

Answer

x = 20

Answer

x = 12

Answer

x = 4

Question 4

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

Accepted Answer

9.75

Answer

3.75

Answer

10

Answer

12

Question 5

Are the two figures similar?

Accepted Answer

yes

Answer

no

Question 6

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 7

When talking about figures on a coordinate plane, what does "congruent" mean?

Accepted Answer

Same shape, same size

Answer

Same shape, size changes

Answer

Different shape, different size

Answer

Same shape, different size

Question 8

Tell whether the two figures are similar. Explain your reasoning.

Accepted Answer

No, not similar because they are the same shape, but side lengths are not proportional.

Answer

Yes, similar because they are the same shape and side lengths are proportional.

Answer

Yes, same shape

Answer

No, different sizes

Question 9

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

Accepted Answer

25

Answer

20

Answer

100

Answer

40

Question 10

Complete each proportion.
CB / DM = AC / ?

Accepted Answer

AD

Answer

BM

Answer

MA

Answer

BC

Question 11

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 12

Determine if the triangles are similar. Justify.

Accepted Answer

Yes, by SAS. Scale Factor is 3:1.

Answer

Yes, by SSS.

Answer

Yes, by SAS. Scale Factor is 1:2.

Answer

No, not similar.

Question 13

Which is NOT a test to prove triangles congruent?

Accepted Answer

SSA

Answer

SAA

Answer

SSS

Answer

SAS

Question 14

Are the triangles congruent, if yes, why?

Accepted Answer

SAS

Answer

SSS

Answer

ASA

Answer

Not Congruent

Question 15

Which triangles are congruent to D?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

NONE of them

Question 16

Which triangle has SAS with this triangle?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Question 17

Which triangle has HL similarity with this one?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Question 18

Are Triangle ABC and Triangle XYZ similar?

Accepted Answer

No, corresponding sides are not proportional

Answer

No, corresponding angles are not congruent

Answer

Yes, corresponding angles are congruent

Answer

Yes, corresponding sides are proportional

Question 19

Triangle ABC is congruent to Triangle XYZ.  What side corresponds to XZ?

Accepted Answer

AC

Answer

BC

Answer

AB

Answer

XY

Question 20

What side corresponds to ED?

Accepted Answer

TA

Answer

NA

Answer

TN

Answer

RD

Question 21

Are the triangles congruent, if yes, why?

Accepted Answer

SSS

Answer

SAS

Answer

ASA

Answer

Not Congruent

Question 22

Are the triangles congruent, if yes, why?

Accepted Answer

ASA

Answer

SAS

Answer

SSS

Answer

Not Congruent

Question 23

Are the triangles congruent, if yes, why?

Accepted Answer

Not Congruent

Answer

SSS

Answer

ASA

Answer

AAA

Question 24

Name the postulate, if possible, that makes the triangles congruent.

Accepted Answer

AAS

Answer

SAS

Answer

ASA

Answer

Not enough information

Question 25

"If three sides of one triangle are proportional to three sides of another triangle, then the two triangles are similar," is describing which similarity postulate?

Accepted Answer

SSS

Answer

AAA

Answer

SAS

Answer

Not similar

Question 26

"If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar," is describing which Similarity Postulate?

Accepted Answer

SAS

Answer

SSS

Answer

AA

Answer

ASA

Question 27

If two figures are similar, the corresponding sides are ______________.

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 28

If two figures are similar their angles are______.

Accepted Answer

congruent

Answer

proportional

Answer

supplementary

Answer

complementary

Question 29

What pattern could you use to prove the triangles congruent?

Accepted Answer

SSS

Answer

SAS

Answer

ASA

Answer

AAS

Question 30

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, Then the two triangles are congruent.

Accepted Answer

Angle-Side-Angle Postulate

Answer

Angle-Angle-Side Theorem

Question 31

Whats is the symbol for Congruency

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 32

what is symbol for similarity

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 33

Find Y.

Accepted Answer

4

Answer

25

Answer

9

Answer

7

Question 34

Consider the triangles shown. Which can be used to prove the triangles are congruent?

Accepted Answer

AAS

Answer

SSS

Answer

ASA

Answer

SAS

Question 35

In this diagram, STU is an isosceles triangle where ST is congruent to UT. The paragraph proof shows that angle S is congruent to U. Which step is missing in the proof?

Accepted Answer

CPCTC

Answer

Reflexive Property

Answer

Definition of right angles

Answer

Angle Congruence Postulate

Question 36

Question 36.

Accepted Answer

Alternate interior angles are congurent

Answer

Corresponding angles are congruent

Answer

Vertical angles are congruent

Answer

Alternate exterior angles are congruent

Question 37

Find x

Accepted Answer

8.5

Answer

10.5

Answer

5

Answer

6

Question 38

Why are the triangles similar?

Accepted Answer

AA~

Answer

SAS~

Answer

SSS~

Answer

AAS~

Question 39

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.

Accepted Answer

259 feet

Answer

288 feet

Answer

5802 feet

Answer

275 feet

Question 40

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

Accepted Answer

Not Similar

Answer

Similar.  SAS

Answer

Similar.  AA

Answer

Similar. SSS

Question 41

All corresponding sides are congruent in any similar figure.

Accepted Answer

False

Answer

True

Question 42

All corresponding angles are congruent in similar figures.

Accepted Answer

True

Answer

False

Question 43

All corresponding sides are proportional (same ratio) in similar figures.

Accepted Answer

True

Answer

False

Question 44

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

Accepted Answer

72 feet

Answer

144 feet

Answer

36 feet

Question 45

A building is 20 feet tall and casts a 12 foot shadow, and a person who is standing right next to the building casts a 3 foot shadow, how tall would the person be?

Accepted Answer

5 feet

Answer

15 feet

Answer

20 feet

Answer

2.5 feet

Question 46

Which postulates can we use to prove triangles are congruent

(Select all that apply)

Accepted Answer

ASA

Accepted Answer

SAS

Accepted Answer

SSS

Answer

SSA

Question 47

Which postulates can we use to prove Triangles are similar

(Select all that apply)

Accepted Answer

SAS

Accepted Answer

SSS

Accepted Answer

AA

Answer

ASA

Question 48

What theorem can be used to prove two right triangles are congruent?

Accepted Answer

Hypotenuse-Leg Theorem

Answer

Triangle Proportionality Theorem

Answer

Triangle Sum Theorem

Answer

Alternate Interior Angles Theorem

Question 49

Find AE

Accepted Answer

12.5

Answer

18

Answer

11.75

Answer

13

Question 50

What postulate supports these triangles to be congruent?

Accepted Answer

HL

Answer

SSA

Answer

SAS

Answer

ASA

Question 51

What does CPCTC stand for?

Accepted Answer

Corresponding parts of congruent triangles are congruent

Answer

Congruent parts of congruent triangles are congruent

Answer

Corresponding parts of corresponding triangles are corresponding

Answer

Corresponding parts of congruent triangles are Canadian.

Question 52

What postulate proves these triangles congruent?

Accepted Answer

AAS

Answer

SAS

Answer

ASA

Answer

Not enough information

Question 53

Fill in the blank.

Accepted Answer

Reflexive Property

Answer

Given

Answer

Transitive Property

Answer

They're the same side!!!!!!

Question 54

Complete the congruence statement.

Accepted Answer

PRC

Answer

CRP

Answer

PCR

Answer

RPC

Question 55

Fill in the missing proofs.

Accepted Answer

Reflexive Property, SAS(Side-Angle-Side)

Answer

Transitive Property, SAS(Side-Angle-Side)

Answer

Reflexive Property, Vertical Angles Thm.

Answer

Transitive Property, SSS(Side-Side-Side)

Question 56

What is the reason?

Accepted Answer

Definition of bisects

Answer

Definition of Angle

Answer

Definition of Congruence

Answer

Definition of midpoint

Question 57

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

Accepted Answer

reflexive property

Answer

Vertical Angle Theorem

Answer

given

Answer

proof

Question 58

What is the correct choice for Statement 1?

Accepted Answer

Given

Answer

Prove

Answer

Definition of Congruence

Answer

Reflexive Property

Question 59

What is the correct choice for Reason 2?

Accepted Answer

Given

Answer

Prove

Answer

Reflexive Property

Answer

Definition of Congruence

Question 60

What is the correct choice for Statement 5?

Accepted Answer

CPCTC

Answer

SAS

Answer

Definition of Congruence

Answer

Prove

Congruency and Similarity Test

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