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 two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about the sides?

Back

The ratios of the lengths of corresponding sides of triangle ABC to triangle DEF are equal.

Front

How do you find the missing side of 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 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 2:3, what does this mean?

Back

This means that for every 2 units in the first triangle, there are 3 units in the second triangle.

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 triangle ABC has an area of 50 square units and is similar to triangle DEF with a scale factor of 1:2, what is the area of triangle DEF?

Back

The area of triangle DEF is 200 square units, since the area ratio is the square of the scale factor (1:2) which is 1:4.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.