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 ratios of their corresponding sides are proportional.

Front

What is the criteria for two figures to be similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

How do you find the missing side in similar figures?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing side.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about angle A and angle D?

Back

Angle A is equal to angle D.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides, which is 4:9.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If the lengths of two sides of a triangle are 6 and 9, what is the ratio of these sides?

Back

The ratio of the sides is 6:9, which simplifies to 2:3.

Front

In similar trapezoids, if one side is 10 and the corresponding side is 15, what is the scale factor?

Back

The scale factor is 10:15, which simplifies to 2:3.