Unit 5 - REVIEW - 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

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

If triangle ABC is similar to triangle DEF, what can we say about their angles?

Back

The angles of triangle ABC are equal to the corresponding angles of triangle DEF.

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.

Front

If the scale factor of two similar triangles is 2:3, what does this mean?

Back

This means that for every 2 units in triangle ABC, there are 3 units in triangle DEF.

Front

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

Back

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

Front

If triangle XYZ has sides of lengths 4, 6, and 8, and is similar to triangle ABC, what are the lengths of triangle ABC if the scale factor is 2?

Back

The lengths of triangle ABC would be 8, 12, and 16.

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 ratio of their corresponding side lengths.

Front

If the side lengths of two similar figures are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.

Front

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

Back

It means that the angles have the same measure.