Triangle Proportionality Theorem

Front

What is the Triangle Proportionality Theorem?

Back

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 sides?

Back

The corresponding sides are proportional.

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

If triangle A is similar to triangle B, and the length of a side in triangle A is 6 and the corresponding side in triangle B is 9, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles have a side length ratio of 1:2, what can be inferred about their areas?

Back

The area ratio will be 1:4.

Front

How can you determine if two triangles are similar using the Angle-Angle (AA) criterion?

Back

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

Front

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

Back

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

Front

If triangle A has sides of lengths 5, 12, and 13, and triangle B has a corresponding side of length 10, what is the length of the corresponding side in triangle A?

Back

The corresponding side in triangle A is 5.