Similar Figures - Creating Proportions

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 similarity statement for two similar quadrilaterals ABCD and WXYZ?

Back

The similarity statement is ABCD ∼ WXYZ, indicating that the corresponding angles and sides are proportional.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What is a proportion?

Back

Front

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

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Front

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

Back

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 does the symbol ∼ represent in geometry?

Back

The symbol ∼ indicates that two figures are similar.

Front

How can you write a similarity statement for two similar triangles?

Back

A similarity statement for two triangles can be written as Triangle ABC ∼ Triangle DEF, where the corresponding vertices are in the same order.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.