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 their corresponding sides are in proportion.

Front

What is the criteria for two figures to be similar?

Back

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

Front

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

Back

The lengths of the corresponding sides of similar triangles are in the same ratio.

Front

What is the angle-angle (AA) similarity postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

How do you determine if two polygons are similar?

Back

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

Front

What is the scale factor in similar figures?

Back

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

Front

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

Back

It means that for every 2 units of length in the first triangle, there are 3 units of length in the second triangle.

Front

How do you find a missing side length in similar figures?

Back

To find a missing side length, set up a proportion using the lengths of corresponding sides from the similar figures.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 1:2.

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.