Similar Figures 2

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 the ratios of their corresponding sides are proportional.

Front

What is the criteria for two figures to be similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if their corresponding angles are also equal.

Front

How do you find a missing side in similar figures?

Back

You can use the proportion of the corresponding sides to find the missing side.

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

What is a proportion?

Back

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

Front

If the height of a tree is represented as x and the height of a shadow is 4 ft, and the length of a shadow of a 6 ft tall person is 2 ft, how do you find x?

Back

Set up the proportion: x/4 = 6/2, then solve for x.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Height of object)/(Length of shadow) * (Length of shadow of observer).

Front

If two similar figures have a side length ratio of 1:5, what is the ratio of their areas?

Back

The ratio of their areas is 1:25.

Front

What does it mean if two figures are not similar?

Back

It means that either their corresponding angles are not equal or the ratios of their corresponding sides are not equal.