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Similarity of Polygons Quiz

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Which of the following statements about similar polygons is true?

They have congruent corresponding angles.

Explanation

Similar polygons have equal corresponding angles.

If two polygons are similar, what is the ratio of their corresponding sides called?

Scale factor

Explanation

The ratio of corresponding sides in similar polygons is the scale factor.

In similar polygons, if one angle of a polygon is 50°, what is the measure of the corresponding angle in the similar polygon?

100°

Explanation

Corresponding angles in similar polygons are congruent.

If the scale factor between two similar polygons is 2:3, and the area of the smaller polygon is 54 cm², what is the area of the larger polygon?

162 cm²

Explanation

The area of the larger polygon is proportional to the square of the scale factor.

Which of the following is true for similar polygons?

They must have proportional corresponding sides.

Explanation

Similar polygons have proportional corresponding sides.

In similar polygons, what happens to the measures of corresponding angles?

They are equal.

Explanation

Corresponding angles in similar polygons are equal.

If the scale factor between two similar polygons is 3:5, and the perimeter of the smaller polygon is 18 cm, what is the perimeter of the larger polygon?

50 cm

Explanation

The perimeter of the larger polygon is 5/3 times the perimeter of the smaller one.

What is the condition for two polygons to be similar?

Their corresponding sides must be proportional.

Explanation

Similar polygons have proportional corresponding sides.

If the scale factor between two similar polygons is 4:7, and the area of the smaller polygon is 98 cm², what is the area of the larger polygon?

392 cm²

Explanation

The area of the larger polygon is proportional to the square of the scale factor.

#10

If the scale factor between two similar polygons is 3:4, and the area of the larger polygon is 75 square units, what is the area of the smaller polygon?

25 square units

Explanation

The area of the smaller polygon is 3/4 times the area of the larger one.

#11

If the ratio of the areas of two similar polygons is 9:16, what is the ratio of their corresponding side lengths?

4:3

Explanation

The ratio of corresponding side lengths is the square root of the ratio of areas.

#12

Two similar polygons have a scale factor of 1:3. If the area of the smaller polygon is 12 square units, what is the area of the larger polygon?

36 square units

Explanation

The area of the larger polygon is 3 times the area of the smaller one.

#13

Two similar triangles have corresponding sides of length 6 cm and 9 cm. If the area of the larger triangle is 108 square centimeters, what is the area of the smaller triangle?

36 square centimeters

Explanation

The area of the smaller triangle is 3/2 times the area of the larger one.

#14

Two similar triangles have corresponding sides of length 8 cm and 12 cm. If the area of the larger triangle is 192 square centimeters, what is the area of the smaller triangle?

64 square centimeters

Explanation

The area of the smaller triangle is 3/2 times the area of the larger one.

#15

Two similar triangles have corresponding sides of length 10 cm and 15 cm. If the area of the smaller triangle is 36 square centimeters, what is the area of the larger triangle?

108 square centimeters

Explanation

The area of the larger triangle is 3/2 times the area of the smaller one.

Similarity of Polygons Quiz

Which of the following statements about similar polygons is true?

If two polygons are similar, what is the ratio of their corresponding sides called?

In similar polygons, if one angle of a polygon is 50°, what is the measure of the corresponding angle in the similar polygon?

If the scale factor between two similar polygons is 2:3, and the area of the smaller polygon is 54 cm², what is the area of the larger polygon?

Which of the following is true for similar polygons?

In similar polygons, what happens to the measures of corresponding angles?

If the scale factor between two similar polygons is 3:5, and the perimeter of the smaller polygon is 18 cm, what is the perimeter of the larger polygon?

What is the condition for two polygons to be similar?

If the scale factor between two similar polygons is 4:7, and the area of the smaller polygon is 98 cm², what is the area of the larger polygon?

If the scale factor between two similar polygons is 3:4, and the area of the larger polygon is 75 square units, what is the area of the smaller polygon?

If the ratio of the areas of two similar polygons is 9:16, what is the ratio of their corresponding side lengths?

Two similar polygons have a scale factor of 1:3. If the area of the smaller polygon is 12 square units, what is the area of the larger polygon?

Two similar triangles have corresponding sides of length 6 cm and 9 cm. If the area of the larger triangle is 108 square centimeters, what is the area of the smaller triangle?

Two similar triangles have corresponding sides of length 8 cm and 12 cm. If the area of the larger triangle is 192 square centimeters, what is the area of the smaller triangle?

Two similar triangles have corresponding sides of length 10 cm and 15 cm. If the area of the smaller triangle is 36 square centimeters, what is the area of the larger triangle?

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