6.4 Triangle Midsegment Theorem

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 does the Triangle Midsegment Theorem state?

Back

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

Front

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

Back

Segment DE is parallel to segment AB and DE = 1/2 * AB.

Front

Given triangle BCD with midsegment QR, how do you find the length of QR?

Back

QR = 1/2 * (BC + CD), where BC and CD are the lengths of the sides.

Front

If SR = 68, what is the length of CA if CA is the third side of triangle with midsegment SR?

Back

CA = 2 * SR = 2 * 68 = 136.

Front

If LN = 5, what is the length of AC if AC is the side parallel to LN?

Back

AC = 2 * LN = 2 * 5 = 10.

Front

What segment is parallel to EF in triangle PMN?

Back

Segment NP is parallel to segment EF.

Front

How do you determine if a segment is a midsegment?

Back

A segment is a midsegment if it 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 always parallel to one side of the triangle and its length is half that of the side.

Front

If segment DE is a midsegment of triangle ABC, what is the relationship between DE and AC?

Back

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