Triangle Midsegment

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

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

Back

A midsegment is parallel to the third side of the triangle and its length is half the length of that side.

Front

If segment EF is a midsegment of triangle ABC, what can be said about segment BC?

Back

Segment BC is parallel to segment EF and is twice the length of segment EF.

Front

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

Back

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

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

The length of side AC is 10.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

Can a triangle have more than one midsegment?

Back

Yes, every triangle has three midsegments, one for each pair of sides.

Front

What is the formula for the length of a midsegment in terms of the sides it connects?

Back

Length of midsegment = (Length of side 1 + Length of side 2) / 2.

Front

If a triangle has sides of lengths 10 and 14, what is the length of the midsegment connecting these two sides?

Back

The length of the midsegment is 12.