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 find the length of a segment in a triangle using the Triangle Proportionality Theorem?

Back

Set up a proportion using the lengths of the segments created by the parallel line and solve for the unknown length.

Front

If segment AB is 16 and segment AC is 8, what is the ratio of AB to AC?

Back

The ratio of AB to AC is 2:1.

Front

What is the first step in solving for x in a triangle proportionality problem?

Back

Identify the corresponding sides and set up a proportion.

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

Back

The segments are proportional to each other.

Front

If x/4 = 3/6, what is the value of x?

Back

x = 2.

Front

In a triangle, if one side is 10 and the corresponding side in a similar triangle is 15, what is the scale factor?

Back

The scale factor is 2:3.

Front

How can you verify if two triangles are similar?

Back

By checking if their corresponding angles are equal and their corresponding sides are in proportion.