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 their corresponding sides are proportional.

Front

What does it mean for sides to be proportional in similar figures?

Back

Sides are proportional when the ratios of the lengths of corresponding sides of two similar figures are equal.

Front

If two triangles are similar, what can we say about their angles?

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of two similar figures are in the ratio 2:3, what does this imply about their areas?

Back

The areas of the two figures are in the ratio of the squares of the sides' ratio, which is 4:9.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in two different shapes that are similar.

Front

If one side of a triangle is 6 cm and the corresponding side of a similar triangle 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 in similar figures?

Back

To find a missing side, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

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

Back

The lengths of corresponding sides are in a constant ratio, known as the scale factor.

Front

If two similar rectangles have a length ratio of 4:5, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 4:5.

Front

What is the scale factor if the lengths of two similar figures are 5 cm and 10 cm?

Back

The scale factor is 10/5 or 2.