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

State the similarity postulate that can be used to prove triangles are similar when two angles of one triangle are equal to two angles of another triangle.

Back

Angle-Angle (AA) Similarity Postulate.

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.

Front

Back

The triangles formed by these segments are similar by the Triangle Proportionality Theorem.

Front

What is the formula to find the missing length in a proportion?

Back

Front

What is the significance of the AA similarity postulate in triangle similarity?

Back

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

Front

How do you determine if two triangles are similar using the SAS similarity theorem?

Back

Two triangles are similar if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal.

Front

What is the relationship between similar triangles and their corresponding sides?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

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

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.