Midsegment Theorem

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

What is the Midsegment Theorem?

Back

The Midsegment Theorem states that the length of a midsegment is half the length of the third side of the triangle and is parallel to that side.

Front

If DE is a midsegment of triangle ABC, what can be said about DE in relation to side AC?

Back

DE is parallel to AC and its length is half of AC.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, and use the formula: Length of midsegment = 1/2 (Length of the third side).

Front

If the length of side BC is 18, what is the length of the midsegment DE?

Back

The length of midsegment DE is 9.

Front

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

Back

Midsegments are always parallel to one side of the triangle and half its length.

Front

If GH is a midsegment of triangle FGH, and DF is 22, what is GH?

Back

GH = 1/2 * DF = 11.

Front

Can a midsegment be longer than the sides of the triangle it is part of?

Back

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

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments help establish similarity between triangles by showing proportional relationships.

Front

If a triangle has sides of lengths 10, 14, and 18, what is the length of the midsegment connecting the midpoints of the sides of lengths 10 and 14?

Back

The length of the midsegment is 9.