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

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What are the criteria for triangle similarity?

Back

The criteria for triangle similarity include AA (Angle-Angle), SAS (Side-Angle-Side), and SSS (Side-Side-Side).

Front

Which theorem is NOT a similarity criterion?

Back

ASA (Angle-Side-Angle) is NOT a similarity criterion.

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

How do you determine if two segments are parallel in a triangle?

Back

If a line segment divides two sides of a triangle proportionally, then it is parallel to the third side.

Front

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

Back

The segments created by a transversal intersecting two parallel lines are proportional.

Front

If a triangle has sides of lengths 6, 8, and 10, what is the ratio of the sides?

Back

The ratio of the sides is 6:8:10, which simplifies to 3:4:5.

Front

How do you find a missing length in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing length.

Front

What is the significance of the Triangle Proportionality Theorem in real-world applications?

Back

It helps in solving problems related to scale models, maps, and architectural designs.