Brewer Similarity Review

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What is the AA similarity postulate?

Back

The AA (Angle-Angle) similarity postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SAS similarity postulate?

Back

The SAS (Side-Angle-Side) similarity postulate states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the SSS similarity postulate?

Back

The SSS (Side-Side-Side) similarity postulate states that if the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

If AD = 5 and CD = 15, what is the ratio of AD to CD?

Back

The ratio of AD to CD is 1:3.

Front

If two similar triangles have a scale factor of 2, how does this affect their perimeters?

Back

The perimeter of the larger triangle will be twice that of the smaller triangle.

Front

How do you find the perimeter of similar shapes?

Back

To find the perimeter of similar shapes, multiply the perimeter of the smaller shape by the scale factor.

Front

What is the relationship between the areas of similar figures?

Back

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

Front

If the perimeter of a smaller frame is 26 in, what is the perimeter of a larger similar frame with a scale factor of 2?

Back

The perimeter of the larger frame is 52 in.

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.