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 half its length.

Front

If DE is a midsegment of triangle ABC, what is the relationship between DE and BC?

Back

DE is parallel to BC and DE = 1/2 * BC.

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 segment QR is a midsegment of triangle WUV and its length is 8, what is the length of side WU?

Back

The length of side WU is 16.

Front

Is the midsegment of a triangle always parallel to the base?

Back

Yes, the midsegment is always parallel to the base of the triangle.

Front

If segment DE is a midsegment and DE = 5, what is the length of segment BC?

Back

The length of segment BC is 10.

Front

What can be said about the lengths of midsegments in similar triangles?

Back

In similar triangles, the lengths of corresponding midsegments are proportional to the lengths of the corresponding sides.

Front

If segment VW is a midsegment of triangle KIJ, and KI = 18, what is the length of segment VW?

Back

The length of segment VW is 9.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, take half the length of the side it is parallel to.

Front

If segment AD is a midsegment of triangle ABC, and segment AC = 12, what is the length of segment AD?

Back

The length of segment AD is 6.