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 does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape, which means their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

Front

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

Back

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

Front

If two triangles are similar, what can you say 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 ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

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.

Front

If the scale factor of two similar figures is 3:1, how does this affect their areas?

Back

If the scale factor is 3:1, the area of the larger figure is 9 times the area of the smaller figure (since area is proportional to the square of the scale factor).

Front

Solve for x: If triangle ABC is similar to triangle DEF, and AB = 6, DE = x, and the scale factor is 2:1, what is x?

Back

x = 3.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the ratio of their corresponding side lengths.

Front

If two similar rectangles have a length ratio of 4:3, what is the ratio of their areas?

Back

The ratio of their areas is 16:9.