Math 2 - Similarity Review

Front

What is the definition of similar polygons?

Back

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

Front

In similar polygons, what is true about corresponding sides?

Back

Corresponding sides of similar polygons are proportional.

Front

In similar polygons, what is true about corresponding angles?

Back

Corresponding angles of similar polygons are congruent.

Front

What does the AA similarity theorem state?

Back

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

Front

What does the SSS similarity theorem state?

Back

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

Front

What does the SAS similarity theorem state?

Back

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

Front

If a gymnasium is 96 feet long and 75 feet wide, what is the scale factor if the length on a blueprint is 5.5 inches?

Back

The scale factor is 5.5 inches / 96 feet = 1 inch / 17.45 feet.

Front

How do you find the width of a gymnasium on a blueprint if the length is known?

Back

To find the width on the blueprint, use the scale factor derived from the length and apply it to the actual width. For example, if the actual width is 75 feet, the width on the blueprint would be (75 feet / 96 feet) * 5.5 inches.

Front

What is the relationship between scale factor and similarity in polygons?

Back

The scale factor is the ratio of the lengths of corresponding sides of similar polygons, indicating how much one polygon is an enlargement or reduction of the other.

Front

What is an example of two similar triangles?

Back

Triangle ABC and Triangle DEF are similar if angle A = angle D, angle B = angle E, and the sides are in proportion (AB/DE = BC/EF = AC/DF).