proportionality 2

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 sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

What is the definition of similar figures?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

How do you set up a proportion using the Triangle Proportionality Theorem?

Back

To set up a proportion, you can use the lengths of the segments created by the parallel line on the two sides of the triangle.

Front

Back

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

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

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

Front

What is the formula for finding the length of a side in similar triangles?

Back

Front

If two triangles have sides of lengths 3, 4, and 5, and 6, 8, and 10, are they similar?

Back

Yes, they are similar because the sides are in proportion (3:6, 4:8, 5:10).

Front

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

Back

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