Quiz about Congruence and Similarity Review

Question 1

$$\Delta ABC\ is\ similar\ to\ \Delta PQR.\ fill\ in\ the\ blanks\ to\ complete\ the\ ratios.$$ $$\frac{AB}{....}=\frac{....}{QR}$$

Accepted Answer

$$\frac{AB}{PQ}=\frac{BC}{QR}$$

Answer

$$\frac{AB}{CB}=\frac{PQ}{QR}$$

Question 2

$$\Delta ABO\ is\ similar\ to\ \Delta DCO$$ . Find the value of x and y.

Accepted Answer

y = 9 cm and $$x=30\degree$$

Answer

$$x=30\degree$$ and y = 3 cm

Answer

$$y=30\degree$$ and x = 6 cm

Question 3

$$\Delta ADE\ is\ similar\ to\ \Delta ABC.$$ Find the values of x and y.

Accepted Answer

x = 6 cm and y = $$70\degree$$

Answer

x = 9 cm and y = $$70\degree$$

Answer

y = $$70\degree$$ and x = 2 cm

Question 4

Are these triangles congruent, similar, both, or neither?

Accepted Answer

Similar

Answer

Congruent

Answer

Both

Answer

Neither

Question 5

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

Accepted Answer

x = 12

Answer

x = 3

Answer

x = 40

Answer

x = 4

Question 6

As it relates to geometry, what does it mean for figures to be similar?

Accepted Answer

corresponding sides are proportional and corresponding angles are congruent

Answer

corresponding sides and angles are congruent

Answer

angles are similar, and side lengths are the same, producing a figure that looks very close to another one.

Answer

neither sides or angles are congruent

Question 7

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 8

Which is a correct congruence statement.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

Are these triangles similar?

Accepted Answer

Yes

Answer

No, they are congruent

Answer

There is not enough information to determine this

Answer

No, they are not similar nor congruent

Question 10

Which transformation(s) create(s) congruent figures?

Accepted Answer

Translation, Reflection, Rotation

Answer

Dilation

Answer

Dilation and Translation

Answer

Dilation and Reflection

Question 11

Which transformation(s) create(s) similar figures?

Accepted Answer

Dilation

Answer

Translation, Reflection, and Rotation

Answer

Translation and Reflection

Answer

Reflection and Rotation

Question 12

Are these triangles similar?

Accepted Answer

Yes

Answer

No

Question 13

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

Accepted Answer

x = 5

Answer

x = 20

Answer

x = 12

Answer

x = 4

Question 14

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

Accepted Answer

x = 10

Answer

x = 4

Answer

x = 2

Answer

x = 5

Congruence and Similarity Review

15 questions

Are these triangles congruent, similar, both, or neither?

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

As it relates to geometry, what does it mean for figures to be similar?

The triangles are congruent. Which of the following statements must be true?

Are Triangle ABC and Triangle XYZ similar?

Which is a correct congruence statement.

Are these triangles similar?

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