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 property of corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are congruent (equal in measure).

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if: 1) Their corresponding angles are equal, and 2) The lengths of their corresponding sides are proportional.

Front

If two triangles have sides in the ratio 2:3, what can be said about their areas?

Back

The areas of the triangles will be in the ratio of the squares of the sides' ratios, which is 4:9.

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 triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 1:2.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If the lengths of two similar triangles are in the ratio 1:5, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 1:5.

Front

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

Back

Side YZ is 9 cm.

Front

What does it mean for two figures to be congruent?

Back

Congruent figures are identical in shape and size, meaning all corresponding sides and angles are equal.