8.3A 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 the lengths of their corresponding sides are proportional.

Front

What is the concept of proportionality in similar figures?

Back

In similar figures, the ratios of the lengths of corresponding sides are equal. This means if two figures are similar, then the ratio of one side of the first figure to the corresponding side of the second figure is constant.

Front

How do you set up a proportion to find missing lengths in similar figures?

Back

Front

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

Back

Front

If a parking meter is 1.6m tall and casts a shadow of 3.6m, what is the height of a tree that casts a shadow of 9m?

Back

Front

What does the term 'congruence' mean in geometry?

Back

Congruence in geometry means that two figures have the same shape and size. Congruent figures can be superimposed on each other.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two figures are congruent. It lists the corresponding vertices of the figures in order.

Front

How do you determine the order of vertices in a congruence statement?

Back

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal. This means if two figures are similar, each angle in one figure has a corresponding angle in the other figure that is equal.

Front

How can you find the missing side length in similar figures?

Back

To find a missing side length, set up a proportion using the lengths of the corresponding sides of the similar figures and solve for the unknown.