Geo - 6.2 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

How can you determine if two lines are parallel in a triangle?

Back

Two lines are parallel if they divide the other two sides of the triangle proportionally.

Front

What does it mean for segments to be proportional?

Back

Segments are proportional if the ratios of their lengths are equal.

Front

If JL is parallel to MN, what can be inferred about the segments JK and KL?

Back

If JL is parallel to MN, then JK/KL = JM/MN.

Front

How do you solve for a missing segment length using the Triangle Proportionality Theorem?

Back

Set up a proportion based on the lengths of the segments and solve for the unknown.

Front

What is the formula for finding the length of a segment when given proportional segments?

Back

If a/b = c/d, then ad = bc, which can be rearranged to find the unknown segment.

Front

What is the significance of the Triangle Proportionality Theorem in geometry?

Back

It helps in solving problems related to similar triangles and finding unknown lengths.

Front

How can you apply the Triangle Proportionality Theorem to real-world problems?

Back

By using the theorem to find distances or heights in similar triangles in various applications.

Front

What is the relationship between similar triangles and the Triangle Proportionality Theorem?

Back

Similar triangles have corresponding sides that are proportional, which is a direct application of the Triangle Proportionality Theorem.

Front

What is the first step in solving a problem using the Triangle Proportionality Theorem?

Back

Identify the parallel lines and the segments they create.