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 ratio of the lengths of corresponding sides is constant. This ratio is called the scale factor.

Front

How do you find the height of an object using shadows?

Back

You can use the concept of similar triangles. If two objects cast shadows, the ratio of their heights to the lengths of their shadows is equal.

Front

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

Back

Front

What is the scale factor if two similar triangles have sides of lengths 4 and 8?

Back

Front

What is a congruence statement?

Back

A congruence statement indicates that two figures are congruent, meaning they have the same shape and size. For example, triangle ABC is congruent to triangle DEF can be written as ABC ≅ DEF.

Front

How do you determine if two triangles are similar?

Back

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

Front

What is the relationship between the sides of similar figures?

Back

The lengths of corresponding sides of similar figures are in proportion, meaning that the ratios of the lengths of corresponding sides are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 and side DE is 10, what is the scale factor?

Back

Front

What is the formula for finding the area of similar figures?

Back