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 is 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 their areas is the square of the ratio of their corresponding sides, so (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

If triangle ABC is similar to triangle DEF, and AB = 6, DE = 9, what is the length of side EF if AC = 4?

Back

Using the scale factor, EF = (AC * DE) / AB = (4 * 9) / 6 = 6.

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 two similar rectangles have a length ratio of 1:4, what is the ratio of their widths?

Back

The ratio of their widths is also 1:4.

Front

What is a proportional relationship in the context of similar figures?

Back

A proportional relationship means that as one quantity changes, the other quantity changes at a constant rate, maintaining the same ratio.

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.