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 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

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

Back

To find the length of a missing side 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 3:2, and the longer side of the smaller rectangle is 6 cm, what is the longer side of the larger rectangle?

Back

The longer side of the larger rectangle is 9 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 triangles is 4:5, what is the ratio of their areas?

Back

The ratio of their areas is 16:25.

Front

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

Back

A proportional relationship means that the ratios of corresponding sides of similar figures are equal.

Front

If triangle XYZ is similar to triangle PQR, and the lengths of sides XY and PQ are 5 cm and 10 cm respectively, what is the ratio of side XZ to side PR if XZ is 3 cm?

Back

The ratio of side XZ to side PR is 3:6 or 1:2.