CCSS.HSG.SRT.A.1 Review

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

If two triangles are similar, how do you find the length of a side in one triangle if you know the corresponding side in the other triangle?

Back

Use the ratio of the lengths of the corresponding sides (scale factor) to set up a proportion.

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Back

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Front

If the length and width of a rectangle are 10 cm and 5 cm respectively, and the length of a similar rectangle is 20 cm, what is its width?

Back

The width is 10 cm, maintaining the same ratio.

Front

What is the formula for finding the scale factor between two similar figures?

Back

Scale factor = Length of a side in the second figure / Length of the corresponding side in the first figure.

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Back

The scale factor is 2.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Front

If a figure is dilated by a scale factor of 1.5, what happens to the lengths of its sides?

Back

The lengths of the sides are multiplied by 1.5.

Front

What is the effect of a scale factor less than 1 on a figure?

Back

It reduces the size of the figure.