5.1 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 is half its length.

Front

If QR is a midsegment of triangle FGH, what can be said about segment FG?

Back

Segment FG is parallel to segment QR and its length is twice that of QR.

Front

What is a midsegment in a triangle?

Back

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

Front

If the length of midsegment QR is 5.5, what is the length of the side it is parallel to?

Back

The length of the side is 11.

Front

In triangle WXY, if QR is a midsegment and its length is 6, what is the length of side WY?

Back

The length of side WY is 12.

Front

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

Back

The length of a midsegment is always half the length of the side it is parallel to.

Front

If segment NP is parallel to segment EF, what can be inferred about their lengths?

Back

The lengths of segments NP and EF are not necessarily equal, but they are parallel.

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects and use the Midsegment Theorem.

Front

What is the measure of angle X if it is given that angle X is supplementary to angle Y which measures 120 degrees?

Back

The measure of angle X is 60 degrees.

Front

If a triangle has sides measuring 8, 10, and 12, what is the length of the midsegment connecting the sides measuring 8 and 10?

Back

The length of the midsegment is 9.