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 be said about their angles?

Back

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

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides. Therefore, the area ratio is (2^2):(3^2) = 4:9.

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

What is a proportion?

Back

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

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 8/4 = 2.

Front

How do 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

What is the relationship between the corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are in proportion.

Front

If the scale factor of two similar figures is 3:5, and the length of a side in the smaller figure is 9 cm, what is the length of the corresponding side in the larger figure?

Back

To find the length of the corresponding side in the larger figure, set up the proportion: 9/length = 3/5. Solving gives length = 15 cm.