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 do 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

If JK is divided by MN and LK, what can be inferred if MN is parallel to JK?

Back

If MN is parallel to JK, then the segments created on JK and LK are proportional.

Front

What is the formula for finding the length of a segment in a triangle using the Triangle Proportionality Theorem?

Back

If a line parallel to one side of a triangle divides the other two sides, the segments can be expressed as a/b = c/d, where a and b are segments on one side, and c and d are segments on the other.

Front

What does it mean if lines a, b, and c are not parallel?

Back

If lines a, b, and c are not parallel, it means that they do not divide the other sides of the triangle proportionally.

Front

How can you solve for an unknown length in a triangle using proportions?

Back

You can set up a proportion based on the known lengths and solve for the unknown by cross-multiplying.

Front

What is the significance of the value 8.4 in the context of triangle proportionality?

Back

The value 8.4 represents a specific length that was calculated using the Triangle Proportionality Theorem.

Front

What is the relationship between parallel lines and proportional segments in triangles?

Back

Parallel lines create proportional segments on the sides of the triangle, allowing for the use of ratios to find unknown lengths.

Front

How do you calculate the value of x when given proportional segments?

Back

You can calculate x by setting up a proportion based on the known segments and solving for x.

Front

What does it indicate if a line does not cut other lines proportionally?

Back

If a line does not cut other lines proportionally, it indicates that the lines are not parallel.