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 their corresponding sides are proportional.

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 in proportion.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the ratio of their sides?

Back

The ratio of the sides is 1:2.

Front

How do you find the missing side length in similar triangles?

Back

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

Front

If triangle XYZ is similar to triangle PQR, and XY = 6 cm, PQ = 12 cm, what is the length of side YZ if side QR = 18 cm?

Back

YZ = 9 cm.

Front

What is the scale factor between two 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 3:5, and the length of one side of the smaller triangle is 9 cm, what is the length of the corresponding side in the larger triangle?

Back

The length of the corresponding side in the larger triangle is 15 cm.

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 side lengths of two similar polygons are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.

Front

How can 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.