Quiz about Congruence & Similarity

Question 1

Under a given correspondence, two triangles are congruent if the three sides of the first are equal to the three corresponding sides of the other.

The above is known as :

Accepted Answer

SSS congruence of two triangles.

Answer

SAS congruence of two triangles.

Answer

ASA congruence of two triangles.

Answer

None of these.

Question 2

Under a given correspondence, two triangles are congruent if two sides and the angle included between them of the first are equal to the corresponding sides and the angle included between them of the other triangle.

The above is known as :

Accepted Answer

SAS congruence of two triangles.

Answer

SSS congruence of two triangles.

Answer

ASA congruence of two triangles.

Answer

None of these.

Question 3

What does SAS stand for?

Accepted Answer

Side-Angle-Side

Answer

Super-Awesome-Side

Answer

Side-Angle-Supersized

Answer

Sensationally Awesome Superman

Question 4

Figures that have the same _____ and size are congruent triangles.

Accepted Answer

shape

Answer

corresponding

Answer

corners

Answer

angles

Question 5

Question 5.

Accepted Answer

4 inches

Answer

3 inches

Answer

5 inches

Answer

90 inches

Question 6

Which is NOT a test to prove triangles congruent?

Accepted Answer

SSA

Answer

SAA

Answer

SSS

Answer

SAS

Question 7

What are the five ways to prove triangles congruent?

Accepted Answer

SSS, ASA, AAS, SAS, HL

Answer

SSS, SSA, HL, AAS, SAS

Answer

SAS, SSA, HL, AAS, SSS

Answer

HL, SAS, SSA, SSS, ASA

Question 8

Are these triangles congruent? If so, state the rule which you used to determine congruence.

Accepted Answer

Yes by ASA

Answer

Yes by AAS

Answer

Yes by SSA

Answer

Not congruent

Question 9

Are these triangles congruent? If so, state the rule which you used to determine congruence.

Accepted Answer

Not necessarily congruent

Answer

SSA

Answer

AAS

Answer

ASA

Question 10

Congruent by

Accepted Answer

SSS

Answer

SAS

Answer

ASA

Answer

AAS

Question 11

Congruent by

Accepted Answer

ASA

Answer

SSS

Answer

SAS

Answer

AAS

Question 12

Are these triangles congruent?

Accepted Answer

Yes, by AAS

Answer

Yes, by SAS

Answer

Yes, by SSS

Answer

No, this is the SSA one!!

Question 13

How do these triangles appear to be similar?

Accepted Answer

Three sides proportional

Answer

AA

Answer

Ratio of two sides and an included angle equal

Answer

Not Similar

Question 14

What does it mean for two shapes to be similar?

Accepted Answer

Same shape, but different size.

Answer

Same size and same shape.

Answer

Their angles add up to 180^o.

Answer

They are congruent.

Question 15

Which angle corresponds to angle D?

Accepted Answer

$$\angle S$$

Answer

$$\angle E$$

Answer

$$\angle F$$

Answer

$$\angle T$$

Answer

$$\angle U$$

Question 16

Which side corresponds to DF?

Accepted Answer

$$SU$$

Answer

$$DE$$

Answer

$$EF$$

Answer

$$ST$$

Answer

$$TU$$

Question 17

Matching angles are called

Accepted Answer

Corresponding Angles

Answer

Corresponding Sides

Answer

The Same

Answer

Congruent Angles

Question 18

Solve for f.

Accepted Answer

4

Answer

6

Answer

3

Answer

8

Question 19

State the postulate that proves these triangles are similar.

Accepted Answer

SAS

Answer

SSS

Answer

AA

Answer

Not similar

Question 20

Find side length X.

Accepted Answer

15

Answer

16

Answer

18

Answer

2.4

Question 21

Find side length X.

Accepted Answer

10

Answer

22.5

Answer

9

Answer

7.5

Question 22

How do these triangles appear to be similar?

Accepted Answer

SSS

Answer

AA

Answer

SAS

Answer

Not Similar

Question 23

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 24

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 25

The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.

Accepted Answer

SA = 128 ft², V = 1024 ft³

Answer

SA = 384 ft², V = 576 ft³

Answer

SA = 128 ft², V = 256 ft³

Answer

SA = 512 ft², V = 1024 ft³

Question 26

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

Accepted Answer

7 : 10

Answer

1 : 7

Answer

49 : 100

Answer

343 : 1000

Question 27

If the side lengths are tripled, then which of the following statements about its volume will be true?

Accepted Answer

The new volume will be 27 times larger

Answer

The new volume will be 3 times larger

Answer

The new volume will be 9 times larger

Answer

The new volume will be 10 times larger

Question 28

If the ratio between two shapes area is 16/49, what is the ratio between the two shapes perimeter?

Accepted Answer

4/7

Answer

7/4

Answer

16/49

Answer

49/16

Question 29

The similarity ratio of two polygons is 3/1. What is the ratio of their perimeter?

Accepted Answer

3/1

Answer

9/1

Answer

9/2

Answer

1/3

Congruence & Similarity

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