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Geometric Similarity and Scaling Quiz

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#1

Which statement best defines geometric similarity?

Two shapes are geometrically similar if they have the same shape but not necessarily the same size.
Explanation

Same shape, different size.

#2

If two triangles are similar, what can we say about their corresponding angles and sides?

Their corresponding angles are equal, but their corresponding sides are not necessarily equal.
Explanation

Equal angles, not necessarily equal sides.

#3

In a geometric similarity, if the scale factor is greater than 1, what happens to the size of the shape?

The size increases.
Explanation

Size increases.

#4

If two rectangles are similar, what can we say about the ratios of their corresponding sides?

The ratios of their corresponding sides are all equal.
Explanation

Equal corresponding side ratios.

#5

Which statement is true about geometric scaling?

Geometric scaling only changes the size of an object.
Explanation

Size change only.

#6

If two circles are similar, what can we say about their radii?

Their radii are proportional.
Explanation

Proportional radii.

#7

Which of the following transformations does not preserve geometric similarity?

Translation
Explanation

Translation.

#8

If the ratio of the perimeters of two similar figures is 3:5, what is the ratio of their areas?

9:25
Explanation

Area ratio: 9:25.

#9

In a similar triangle, if the ratio of their corresponding sides is 2:3, what is the ratio of their areas?

4:9
Explanation

Area ratio: 4:9.

#10

What is the scale factor of enlargement if the image is twice the size of the original object?

2
Explanation

Scale factor: 2.

#11

If a square is dilated by a scale factor of 3, what is the ratio of the perimeters of the original square to the dilated square?

3:1
Explanation

Perimeter ratio: 3:1.

#12

In a similar triangle, if the ratio of their perimeters is 3:4, what is the ratio of their areas?

9:16
Explanation

Area ratio: 9:16.

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