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

In similar figures, the lengths of corresponding sides are in the same ratio, meaning they can be expressed as a fraction that is equal.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are congruent, meaning they have the same measure.

Front

If two triangles are similar, how do you find a missing side length?

Back

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

Front

Fill in the blanks: In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

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 sides?

Back

The ratio of their sides is 1:2.

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

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 triangles is 3:5, and the length of one side of the smaller triangle is 9 cm, what is the length of the corresponding side in the larger triangle?

Back

The length of the corresponding side in the larger triangle is 15 cm.

Front

What is an example of similar figures in real life?

Back

An example of similar figures in real life is a map and the actual area it represents; both have the same shape but different sizes.