Similar Figures Review

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 their corresponding sides are proportional.

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

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What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position. For example, in two similar triangles, the side lengths that correspond to each other are proportional.

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How do you find the missing length in similar figures?

Back

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

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What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal. This means that if two figures are similar, each angle in one figure has a corresponding angle in the other figure that is the same.

Front

If two triangles are similar, what can you say about their side lengths?

Back

If two triangles are similar, the ratios of their corresponding side lengths are equal.

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 has been enlarged or reduced compared to the other.

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If the scale factor of two similar figures is 3:2, what does this mean?

Back

This means that for every 3 units of length in the larger figure, there are 2 units of length in the smaller figure.

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How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal. For example, if a/b = c/d, then a*d = b*c.

Front

What is the formula for finding the height of an object using similar triangles?

Back

The height of an object can be found using the formula: (height of object)/(distance from object) = (height of observer)/(distance from observer).