Fast and Curious: Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much one figure is enlarged or reduced compared to the other.

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

How do you find the missing side in similar figures?

Back

To find the missing side in similar figures, set up a proportion using the lengths of corresponding sides and solve for the unknown.

Front

What is the similarity ratio?

Back

The similarity ratio is the ratio of the lengths of corresponding sides of two similar figures.

Front

Back

k represents the scale factor between the two similar figures, where AB and XY are corresponding sides.

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Back

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If the scale factor is 2, how does the area of the larger figure compare to the smaller figure?

Back

The area of the larger figure is 4 times the area of the smaller figure, since area ratios are the square of the scale factor (2^2 = 4).

Front

How do you express the scale factor if the lengths of corresponding sides are 3 cm and 9 cm?

Back