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 sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 12, what is the corresponding side length in triangle B if the ratio of similarity is 2:1?

Back

The corresponding side length in triangle B is 24.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

What is the significance of parallel lines in the Triangle Proportionality Theorem?

Back

Parallel lines create proportional segments on the sides of the triangle.

Front

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

Back

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

Front

Given two similar triangles, if the length of one side of the first triangle is 10 and the length of the corresponding side of the second triangle is 15, what is the scale factor?

Back

The scale factor is 10:15 or 2:3.

Front

What is the formula to find the length of a side in a triangle using the Triangle Proportionality Theorem?

Back

If a line divides two sides of a triangle proportionally, then a/b = c/d, where a and b are segments of one side, and c and d are segments of the other side.

Front

If triangle A has sides of lengths 6, 8, and 10, and triangle B has a corresponding side of length 12, what is the length of the other corresponding side in triangle B?

Back

The length of the other corresponding side in triangle B is 16.