Geometric Similarity and Scaling Quiz

Explore geometric similarity concepts through these quiz questions. Test your understanding of scaling, ratios, and transformations.

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Which statement best defines geometric similarity?

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

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

Two shapes are geometrically similar if they have both the same shape and size.

Two shapes are not geometrically similar if they have the same shape and size.

1 answered

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.

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

Both their corresponding angles and sides are equal.

Neither their corresponding angles nor sides are necessarily equal.

1 answered

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

The size remains the same.

The size decreases.

The size increases.

The size becomes zero.

1 answered

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.

The ratios of their corresponding sides are all different.

Only some of the ratios of their corresponding sides are equal.

The ratios of their corresponding sides are not related.

1 answered

Which statement is true about geometric scaling?

Geometric scaling does not change the shape of an object.

Geometric scaling changes the shape of an object.

Geometric scaling changes both the shape and size of an object.

Geometric scaling only changes the size of an object.

1 answered

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

Their radii are equal.

Their radii are proportional.

Their radii are not related.

Their radii are inversely proportional.

1 answered

Which of the following transformations does not preserve geometric similarity?

Translation

Rotation

Reflection

Dilation

1 answered

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

3:5

9:25

5:3

25:9

1 answered

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

4:9

2:3

1:2

3:2

1 answered

#10

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

0.5

1 answered

#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?

1:3

3:1

1:9

9:1

1 answered

#12

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

3:4

9:16

16:9

4:3

1 answered

Geometric Similarity and Scaling Quiz

Which statement best defines geometric similarity?

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

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

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

Which statement is true about geometric scaling?

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

Which of the following transformations does not preserve geometric similarity?

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

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

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

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?

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

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