The Triangle Midsegment Theorem

Front

What is the Triangle Midsegment Theorem?

Back

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

Tags

CCSS.HSG.SRT.B.4

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 WUV and its length is 8, what is the length of side WU?

Back

The length of side WU is 16, as the midsegment is half the length of the side it is parallel to.

Tags

CCSS.HSG.SRT.B.4

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 are half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

If segment UV is a midsegment of triangle FGH and its length is 5, what is the length of side FG?

Back

The length of side FG is 10.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle WXY, if QR is a midsegment and its length is 6, what can be said about side WY?

Back

Side WY is 12, as it is twice the length of the midsegment QR.

Tags

CCSS.HSG.SRT.B.4

Front

What does it mean for two segments to be parallel?

Back

Two segments are parallel if they are always the same distance apart and never meet, no matter how far they are extended.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

If segment NP is parallel to segment EF, what can be inferred about their lengths?

Back

If NP is a midsegment, then EF is twice the length of NP.

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, measure the length of the side it is parallel to and divide by 2.

Tags

CCSS.HSG.SRT.B.4

Front

What is the significance of the angles in a triangle when discussing midsegments?

Back

The angles in a triangle do not directly affect the midsegment's properties, but they help in understanding the triangle's overall shape and size.

Tags

CCSS.HSG.CO.C.10