Quiz about Similarity Refresher

Question 1

Are the following similar? Why or why not?

Accepted Answer

No, the ratios of the corresponding sides are not equal.

Answer

Yes

Answer

No, the corresponding angles are not equal.

Question 2

Which scale factor will result in an image that is smaller than the original?

Accepted Answer

$$\frac{3}{4}$$

Answer

$$1$$

Answer

$$1.25$$

Answer

$$\frac{3}{2}$$

Question 3

Quadrilaterals P and Q are similar.

What is the scale factor that takes P to Q?

Accepted Answer

$$\frac{5}{4}$$

Answer

$$\frac{4}{5}$$

Answer

$$\frac{5}{3}$$

Answer

$$\frac{2}{2.5}$$

Question 4

What must be true for two figures to be similar?

(Select all that apply.)

Accepted Answer

The corresponding angles are congruent.

Accepted Answer

The corresponding sides are proportional.

Accepted Answer

The corresponding sides are parallel or on the same line.

Answer

The corresponding sides are congruent.

Question 5

What is the precise definition of similarity?

Accepted Answer

2 figures with a sequence of rigid transformations and dilations that take one figure

to the other

Answer

2 figures that have the same angles

Answer

2 figures that have proportional side lengths

Answer

2 figures with a sequence of rigid transformations taking one figure to another

Question 6

A polygon has perimeter 12.

It is dilated with a scale factor of k and the resulting

image has a perimeter of 8. What is the scale factor?

Accepted Answer

$$\frac{2}{3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{4}{3}$$

Question 7

In $$\Delta ABC$$ , $$\overline{AB}\parallel\overline{DE}$$ .

We want to find the length of $$\overline{DE}=x$$ .

Which of the equations is correctly set up?

Accepted Answer

$$\frac{15}{x}=\frac{24}{40}$$

Answer

$$\frac{15}{9}=\frac{x}{40}$$

Answer

$$\frac{15}{x}=\frac{9}{40}$$

Answer

$$\frac{15}{24}=\frac{40}{x}$$

Question 8

Triangle $$DEF$$ is formed by connecting the midpoints of the sides of triangle $$ABC$$ .

Which side corresponds with $$\overline{AB}$$ ?

Accepted Answer

$$\overline{EF}$$

Answer

$$\overline{DE}$$

Answer

$$\overline{DF}$$

Question 9

Triangle $$DEF$$ is formed by connecting the midpoints of the sides of triangle $$ABC$$ .

What is the length of $$\overline{AB}$$ ?

Accepted Answer

6

Answer

3

Answer

4

Answer

8

Question 10

Which statement is true?

Accepted Answer

All congruent figures are similar.

Answer

All similar figures are congruent.

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