Chapter 7 Review

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If the area of a rectangle is 810 cm² and the ratio of width to length is 2:5, how do you find the length?

Back

Let width = 2x and length = 5x. Then, 2x * 5x = 810. Solve for x to find the length.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is a similarity statement for triangles?

Back

A similarity statement indicates that two triangles are similar, e.g., ΔABC ∼ ΔDEF.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

How do you determine if two triangles are similar using the AA criterion?

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Front

If ΔABC ∼ ΔXYZ, what can you say about the ratios of their corresponding sides?

Back

AB/XY = BC/YZ = AC/XZ.

Front

What is the relationship between the lengths of sides in similar triangles?

Back

The lengths of corresponding sides are proportional.