Triangle Midsegment

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 a triangle has sides of lengths a, b, and c, what is the length of the midsegment connecting sides a and b?

Back

The length of the midsegment is (1/2)(a + b).

Front

Is the midsegment of a triangle parallel to the third side?

Back

Yes, the midsegment is always parallel to the third side of the triangle.

Front

What is the relationship between the lengths of the midsegment and the third side of the triangle?

Back

The length of the midsegment is half the length of the third side.

Front

If DE is a midsegment of triangle ABC, what can we say about DE and BC?

Back

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

Front

In triangle WUV, if QR is a midsegment and its length is 8, what is the length of side WV?

Back

The length of side WV is 16.

Front

If LN = 5 in triangle ABC, what is the length of side AC if LN is a midsegment?

Back

AC = 10.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

If a triangle has midsegments DE and FG, how are they related?

Back

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

Front

How do you find the length of a midsegment if you know the lengths of the two sides it connects?

Back

Add the lengths of the two sides and divide by 2.