Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half the length of the third side.

Front

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

Back

8

Front

Identify the midsegment in triangle ABC if D and E are midpoints of sides AB and AC respectively.

Back

Segment DE is the midsegment.

Front

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

Back

A midsegment is parallel to the third side and its length is half of that side.

Front

If the length of side XY in triangle WXY is 12, what is the length of the midsegment connecting the midpoints of WX and WY?

Back

6

Front

What is a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is an angle bisector in a triangle?

Back

An angle bisector is a line that divides an angle into two equal angles.

Front

If segment DE is a midsegment of triangle ABC, what can be said about segments AD and BE?

Back

Segments AD and BE are equal in length.

Front

In triangle WUV, if QR is a midsegment and the length of side WU is 20, what is the length of QR?

Back

10