Quiz about Similarity and Congruence Proportions

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

an enlargement

Answer

a reduction

Answer

a 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

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

Accepted Answer

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

Answer

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

Question 7

Complete the similarity statement.

Accepted Answer

$$\Delta SPQ$$

Answer

$$\Delta PQS$$

Answer

$$\Delta QPS$$

Answer

they are not similar

Question 8

Complete the similarity statement.

Accepted Answer

$$\Delta KTJ$$

Answer

$$\Delta JKT$$

Answer

$$\Delta TJK$$

Answer

they are not similar

Question 9

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

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

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

Accepted Answer

x = 12

Answer

x = 3

Answer

x = 40

Answer

x = 4

Question 12

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

Accepted Answer

x = 10

Answer

x = 4

Answer

x = 2

Answer

x = 5

Question 13

The pair of polygons is similar. Find the missing side measure.

Accepted Answer

3 units

Answer

3.4 units

Answer

2.7 units

Answer

4 units

Question 14

Find the value of x in the pair of similar figures.

Accepted Answer

10 m

Answer

2 m

Answer

2.5 m

Answer

40 m

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