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

If QR is a midsegment of triangle WXY, and WY is 12, what is the length of QR?

Back

6

Tags

CCSS.HSG.SRT.B.4

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

If TS is a midsegment of triangle GHI and its length is 8, what can you say about the sides GH and HI?

Back

GH and HI are each twice the length of TS.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

10

Tags

CCSS.HSG.SRT.B.4

Front

What does it mean for segments to be parallel in the context of triangles?

Back

Parallel segments do not intersect and maintain a constant distance apart.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

If IJ is a midsegment of triangle MLN and its length is 9, what is the length of segment ML?

Back

18

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 segment is parallel to EF if PM, MN, NP, and FG are options?

Back

Segment NP.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1