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 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 6 cm and side DE is 9 cm, what is the scale factor?

Back

The scale factor is 9/6 or 3/2.

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 a scale factor of 2:3, and the shorter side of the smaller rectangle is 4 cm, what is the length of the corresponding side in the larger rectangle?

Back

The corresponding side in the larger rectangle is 6 cm.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the scale factor.

Front

If the scale factor of two similar figures is 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.

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

If the lengths of two corresponding sides of similar triangles are 5 cm and 15 cm, what is the scale factor?

Back

The scale factor is 1:3.