Similarity Statements

Front

What is a similarity statement?

Back

A similarity statement is a mathematical expression that indicates that two geometric figures are similar, meaning they have the same shape but not necessarily the same size. It is often denoted using the symbol '~', for example, ΔABC ~ ΔDEF.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If two rectangles are similar, what can be said about the ratios of their corresponding sides?

Back

The ratios of the lengths of corresponding sides of similar rectangles are equal.

Front

What does the symbol '~' represent in geometry?

Back

The symbol '~' represents similarity between two geometric figures.

Front

Given triangles ΔABC ~ ΔDEF, what can be inferred about the sides?

Back

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

Back

Front

How do you denote that two triangles are similar?

Back

You denote that two triangles are similar by writing the similarity statement, for example, ΔABC ~ ΔDEF.

Front

What is the significance of corresponding sides in similar figures?

Back

Corresponding sides in similar figures maintain the same ratio, which is a key property of similarity.

Front

Back