Proportions and Similar Triangles

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What does it mean for triangles to be similar?

Back

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

Front

State the AA (Angle-Angle) similarity postulate.

Back

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

Front

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

Back

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

Front

Explain the SAS (Side-Angle-Side) similarity postulate.

Back

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

What is the Reflexive Property of Congruence?

Back

The Reflexive Property of Congruence states that any geometric figure is congruent to itself.

Front

How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides.

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of corresponding sides of triangle ABC and triangle DEF are in proportion.

Front

What is the formula for finding the scale factor between two similar triangles?

Back

The scale factor is found by dividing the length of a side of one triangle by the length of the corresponding side of the other triangle.