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 a line divides two sides of a triangle proportionally, what can be said about that line?

Back

The line is parallel to the third side of the triangle.

Front

Solve for x: If AB/AC = DE/DF and AB = 6, AC = 9, DE = 4, what is DF?

Back

DF = 6.

Front

What is the relationship between the segments created by a transversal intersecting two parallel lines?

Back

The segments are proportional to each other.

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

Solve for x: If 3/5 = x/15, what is x?

Back

x = 9.

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points.

Front

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

Back

Yes, it is a right triangle because it satisfies the Pythagorean theorem.

Front

Solve for x: If 2x + 3 = 15, what is x?

Back

x = 6.

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.