6.4 Expected - Triangle Midsegment Theorem

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that a midsegment of a triangle is parallel to one side of the triangle and is half the length of that side.

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.

Front

If DE is a midsegment of triangle ABC, what can be said about its length compared to side BC?

Back

DE is half the length of side BC.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, measure the length of the side it is parallel to and divide by 2.

Front

If M and N are midpoints of sides AB and AC respectively, what is segment MN?

Back

Segment MN is a midsegment of triangle ABC.

Front

If MR = 15 - 3x and PN = 1 - 5x, how do you find RQ?

Back

You need to set up an equation based on the midsegment theorem and solve for RQ.

Front

Is the length of a midsegment always equal to half the length of the side it is parallel to?

Back

Yes, according to the Triangle Midsegment Theorem.

Front

What is the relationship between midsegments and the sides of a triangle?

Back

Midsegments are always parallel to one side of the triangle and are half its length.

Front

If segment DE is a midsegment, what can you conclude about segments AB and DE?

Back

Segment DE is parallel to segment AB and is half its length.

Front

In triangle ABC, if AB = 20, what is the length of the midsegment DE?

Back

The length of midsegment DE is 10.