The 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 its length is half the length of that side.

Front

Define a midsegment in a triangle.

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

If QR is a midsegment of triangle WXY, and WY is 12, what is the length of QR?

Back

6

Front

If QR is a midsegment of triangle FGH, and FG is 22, what is the length of QR?

Back

11

Front

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

Back

A midsegment is always parallel to one side of the triangle and its length is half of that side.

Front

If IJ is a midsegment of triangle MLN, and segment ML is 18, what is the length of IJ?

Back

9

Front

What can be concluded if two midsegments are drawn in a triangle?

Back

The two midsegments will be parallel to the third side and will each be half the length of that side.

Front

If VW is a midsegment of triangle KIJ, and segment KJ is 16, what is the length of VW?

Back

8

Front

What segment is parallel to EF if QR is a midsegment?

Back

Segment NP.

Front

If the length of segment FG is 20, what is the length of the midsegment connecting the midpoints of sides F and G?

Back

10