12.1 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 the line?

Back

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

Front

How do you solve for x in a proportionality equation?

Back

Set up a proportion and cross-multiply to solve for x.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

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 does it mean for segments to be parallel in a triangle?

Back

Parallel segments in a triangle do not intersect and maintain a constant distance apart.

Front

How can you determine if two segments are parallel using the Triangle Proportionality Theorem?

Back

If the segments divide the other two sides of the triangle proportionally, then they are parallel.

Front

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

Back

The ratios of the lengths of the segments created by the parallel line are equal.

Front

If AB = 4 and AC = 16, what is the ratio of AB to AC?

Back

The ratio of AB to AC is 1:4.

Front

What is a common mistake when identifying parallel segments in a triangle?

Back

Assuming segments are parallel without verifying proportionality.