Similarity Review

Front

What is similarity in geometry?

Back

Similarity in geometry refers to the relationship between two shapes that have the same shape but may differ in size. The corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the AA similarity criterion?

Back

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

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

What is the SSS similarity criterion?

Back

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

Front

How many pairs of congruent angles are needed to prove triangles are similar?

Back

At least two pairs of congruent angles are needed to prove that two triangles are similar.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply and then isolate the variable. For example, if a/b = c/x, then cross-multiply to get ax = bc.

Front

What is the relationship between similar triangles and their areas?

Back

The areas of similar triangles are proportional to the square of the lengths of their corresponding sides.

Front

What is the significance of the term 'corresponding sides' in similar triangles?

Back

Corresponding sides are the sides of two triangles that are in the same relative position. In similar triangles, these sides are proportional.