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 is the concept of proportionality in similar figures?

Back

Proportionality in similar figures means that the ratios of the lengths of corresponding sides are equal.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

How do you find a missing side in similar figures?

Back

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

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 2 (8 cm / 4 cm).

Front

What is a proportion?

Back

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

Front

If CB / DM = AC / ?, what is the missing term if AC = 10 and CB = 5, DM = 2?

Back

The missing term is AD = 4.

Front

How can you use similar triangles to find the height of an object?

Back

You can use the ratios of the sides of similar triangles to set up a proportion that allows you to solve for the unknown height.

Front

If two figures are similar and one has a side length of 3 m, and the other has a corresponding side length of 9 m, what is the scale factor?

Back

The scale factor is 3 (9 m / 3 m).