Quiz about Geometry Similarity Proportions

Question 1

Which is the correct way to write a congruency statement about the two figures shown?

Accepted Answer

FED ~ TSR

Answer

FED ~ RST

Answer

FED ~ STR

Answer

FED ~ RTS

Answer

They are all correct.

Question 2

Tell whether the two figures are similar. Explain your reasoning.

Accepted Answer

No, not similar because corresponding angles are congruent, but corresponding sides are NOT in proportion.

Answer

Yes, similar because corresponding angles are congruent and corresponding sides are in proportion.

Answer

Yes, same shape

Answer

No, different sizes

Question 3

What is the scale factor from triangle ABC to triangle DEF?

Accepted Answer

2

Answer

1/2

Answer

7/3

Answer

10/3

Question 4

Rectangle ABCD and rectangle DEFG are similar figures. Which of the following proportions is true for the figures?

Accepted Answer

$$\frac{AB}{DE}=\frac{CD}{FG}$$

Answer

$$\frac{AB}{DE}=\frac{BC}{FG}$$

Answer

$$\frac{AB}{CD}=\frac{DE}{GD}$$

Answer

$$\frac{AD}{AB}=\frac{DE}{DF}$$

Question 5

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?

Accepted Answer

$$\frac{AB}{WX}=\frac{BC}{XY}$$

Answer

$$\frac{AB}{BC}=\frac{WY}{WX}$$

Answer

$$\frac{AB}{WY}=\frac{BC}{XY}$$

Answer

$$\frac{AC}{XY}=\frac{BC}{WX}$$

Question 6

Rectangle ABCD and rectangle EFGD are similar figures. Which of the following proportions is true for the figures?

Accepted Answer

$$\frac{AB}{EF}=\frac{BC}{FG}$$

Answer

$$\frac{AB}{DE}=\frac{BC}{FG}$$

Answer

$$\frac{AB}{CD}=\frac{DE}{GD}$$

Answer

$$\frac{AD}{AB}=\frac{DE}{FG}$$

Question 7

Find missing side length of the similar triangles

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 8

What is the scale factor if the triangle on the left is the original?

Accepted Answer

1/2

Answer

2

Answer

3/2

Answer

2/3

Question 9

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Yes, SSS Similarity

Answer

Yes, AA Similarity

Answer

Yes, SAS Similarity

Answer

Not Similar

Question 10

State if the triangles in each pair are similar. If so, state how you know they are similar.

Accepted Answer

Yes, AA Similarity

Answer

Yes, SSS Similarity

Answer

Yes, SAS Similarity

Answer

Not Similar

Question 11

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 12

All angles in similar figures are congruent (equal).

Accepted Answer

True

Answer

False

Question 13

Are the following similar?
Why or why not?

Accepted Answer

No, corresponding sides are NOT in proportion.

Answer

Yes

Answer

No, the corresponding angles are not equal.

Answer

i dont know

Question 14

In order for two polygons to be similar, what must be true about the sides and angles?

Accepted Answer

Sides and proportional, Angles are congruent

Answer

All sides and angles are congruent

Answer

All sides and angles are proportional

Answer

Sides are congruent, Angles are proportional

Geometry Similarity Proportions

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