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 in proportion.

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

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

Back

The ratios of their corresponding sides are equal.

Front

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

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

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 is 1:2.

Front

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

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing length.

Front

If two similar triangles have a scale factor of 3:5, what does this mean?

Back

It means that for every 3 units in the smaller triangle, there are 5 units in the larger triangle.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of any two corresponding lengths.

Front

If the lengths of the sides of one triangle are 6, 8, and 10, and it is similar to another triangle, what could be the lengths of the sides of the second triangle?

Back

The lengths could be 9, 12, and 15 if the scale factor is 1.5.

Front

What does it mean for angles to be congruent in similar figures?

Back

It means that the angles have the same measure.