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 two corresponding sides of 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 we say 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 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2 (8 cm / 4 cm).

Front

How do you find a missing side in similar figures?

Back

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

Front

If two similar rectangles have a length ratio of 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25 (the square of the length ratio).

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 sides of two similar triangles are in the ratio 1:4, how does this affect their areas?

Back

The area ratio will be 1:16 (the square of the side length ratio).

Front

What is a proportion?

Back

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

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 3?

Back

PQ = 6 cm * 3 = 18 cm.