Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

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

Front

If DE is a midsegment of triangle ABC, what can be said about DE and AC?

Back

DE is parallel to AC and DE = 1/2 AC.

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 QR is a midsegment of triangle FGH, what is the relationship between QR and FG?

Back

QR is parallel to FG and QR = 1/2 FG.

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

Back

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

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 DE is a midsegment and BC = 10, what is the length of DE?

Back

DE = 1/2 * BC = 1/2 * 10 = 5.

Front

What happens if a triangle is scaled up? How does it affect the midsegment?

Back

The midsegment will also scale up proportionally, remaining half the length of the corresponding side.

Front

Can a midsegment be longer than the sides of the triangle?

Back

No, a midsegment cannot be longer than the sides of the triangle it is part of.