Quiz about Similarity and Congruence Figure

Question 1

Which of the following is NOT true about similar figures?

Accepted Answer

Similar figures always have the same size.

Answer

Similar figures always have the same shape.

Answer

Similar figures always have corresponding angles that are equal.

Answer

Similar figures always have corresponding sides that are proportional.

Question 2

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

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 3

If the scale factor is less than one, the new figure will be

Accepted Answer

a reduction

Answer

an enlargement

Answer

a scale factor

Question 4

If the scale factor is greater than one, the new figure will be

Accepted Answer

enlargement

Answer

reduction

Answer

scale

Answer

not proportional

Question 5

$$If\ \Delta PQR\ is\ similar\ to\ \Delta CIA\ then\ \angle PRQ=.....$$

Accepted Answer

$$\angle CAI$$

Answer

$$\angle CIA$$

Answer

$$\angle AIC$$

Answer

$$\angle IAC$$

Question 6

Which of the following is true?

Accepted Answer

$$\frac{PQ}{CI}=\frac{QR}{IA}=\frac{PR}{CA}$$

Answer

$$\frac{PQ}{QR}=\frac{CI}{IA}=\frac{PR}{CI}$$

Question 7

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

Accepted Answer

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

Answer

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

Question 8

Complete the similarity statement.

Accepted Answer

$$\Delta KTJ$$

Answer

$$\Delta JKT$$

Answer

$$\Delta TJK$$

Answer

they are not similar

Question 9

$$\Delta ABO\ is\ similar\ to\ \Delta DCO$$ . 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 10

$$\Delta ADE\ is\ similar\ to\ \Delta ABC.$$ 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 11

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

Accepted Answer

Similar

Answer

Congruent

Answer

Both

Answer

Neither

Question 12

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 13

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 14

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

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