Geometry: 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

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 is the relationship between DE and side BC?

Back

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

Front

In triangle GHI, if TS is a midsegment and its length is 8, what is the length of side GH?

Back

GH = 2 * TS = 2 * 8 = 16.

Front

If QR is a midsegment of triangle FGH and QR = 5.5, what is the length of side FG?

Back

FG = 2 * QR = 2 * 5.5 = 11.

Front

What is the length of segment WY if QR is a midsegment of triangle WXY and QR = 6?

Back

WY = 2 * QR = 2 * 6 = 12.

Front

Name a midsegment of triangle ABC.

Back

Segment DE is a midsegment of triangle ABC.

Front

If a midsegment is 4 cm long, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 2 * 4 cm = 8 cm.

Front

Is the midsegment of a triangle always shorter than the sides of the triangle?

Back

Yes, the midsegment is always half the length of the side it is parallel to.

Front

If the midsegment of triangle XYZ is 10 cm, what is the length of the side it is parallel to?

Back

The length of the side is 2 * 10 cm = 20 cm.