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 is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 cm and side DE is 10 cm, what is the scale factor?

Back

The scale factor is 2:1, meaning triangle DEF is twice the size of triangle ABC.

Front

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

Back

To find a missing side length in similar figures, set up a proportion using the lengths of corresponding sides and solve for the unknown.

Front

If two similar rectangles have side lengths of 4 cm and 8 cm, what is the ratio of their areas?

Back

The ratio of their areas is 1:4, since area ratios are the square of the ratio of corresponding side lengths.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is the same as the ratio of their corresponding side lengths.

Front

If the scale factor of two similar figures is 3:2, what does this mean for their corresponding sides?

Back

This means that for every 3 units of length in one figure, there are 2 units of length in the other figure.

Front

How can you determine if two figures are similar?

Back

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

Front

If triangle XYZ is similar to triangle PQR and XY = 6 cm, what is the length of side PQ if the scale factor is 1:3?

Back

The length of side PQ is 2 cm.