7.4 Parallel Lines and Proportional Parts

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

If QR is a midsegment of triangle WUV and the length of side UV is 16, what is the length of QR?

Back

8

Front

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

Back

When a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

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

Back

The lengths of corresponding sides are proportional.

Front

How do you find the value of x in a triangle when given proportional segments?

Back

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

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 segment AB is parallel to segment CD and the lengths are 10 and 20 respectively, what is the ratio of AB to CD?

Back

1:2

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are always the same distance apart and never meet.

Front

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

Back

3:5

Front

How can you determine if two triangles are similar?

Back

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