Similarity of Polygons Quiz

Explore your understanding of similar polygons with this geometry quiz. Questions cover ratios, perimeters, areas, and more.

Practice Learn Test

Which of the following statements about similar polygons is true?

They have congruent corresponding angles.

They have congruent corresponding sides.

They have different corresponding angles.

They have different corresponding sides.

2 answered

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

Congruence ratio

Similarity ratio

Proportionality ratio

Scale factor

2 answered

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

50°

100°

150°

200°

2 answered

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?

36 cm²

81 cm²

108 cm²

162 cm²

2 answered

Which of the following is true for similar polygons?

They must have the same perimeter.

They must have the same area.

They must have congruent corresponding angles.

They must have proportional corresponding sides.

1 answered

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

They are equal.

They are not equal.

They are perpendicular.

They are parallel.

1 answered

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?

30 cm

50 cm

27 cm

45 cm

1 answered

What is the condition for two polygons to be similar?

They must have the same number of sides.

They must have the same shape.

Their corresponding angles must be equal.

Their corresponding sides must be proportional.

1 answered

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?

56 cm²

196 cm²

343 cm²

392 cm²

1 answered

#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

50 square units

100 square units

125 square units

1 answered

#11

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

3:4

4:3

9:16

16:9

1 answered

#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?

4 square units

9 square units

12 square units

36 square units

1 answered

#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

48 square centimeters

54 square centimeters

72 square centimeters

1 answered

#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

96 square centimeters

128 square centimeters

144 square centimeters

1 answered

#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?

54 square centimeters

81 square centimeters

108 square centimeters

144 square centimeters

1 answered

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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