Triangle Proportionality Theorem

Front

What is the Triangle Proportionality Theorem?

Back

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are proportional.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles 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, the triangles are similar.

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that 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 SSS similarity criterion?

Back

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

Front

If a triangle has sides of lengths 3, 4, and 5, what is the ratio of its sides?

Back

The ratio of the sides is 3:4:5.

Front

How can you determine if two triangles are similar using side lengths?

Back

You can determine if two triangles are similar by checking if the ratios of their corresponding side lengths are equal.

Front

What is a proportional relationship in the context of triangles?

Back

A proportional relationship in triangles means that the ratios of the lengths of corresponding sides are equal.