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

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

DE is parallel to BC and its length is half the length of BC.

Tags

CCSS.HSG.SRT.B.4

Front

Name a midsegment of triangle ABC.

Back

segment DE.

Front

Is segment DE parallel to segment BC?

Back

Yes.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

If QR is a midsegment of triangle FGH, what is the relationship between QR and FG?

Back

QR is parallel to FG and its length is half the length of FG.

Tags

CCSS.HSG.SRT.B.4

Front

If TS is a midsegment of triangle GHI, what is the relationship between TS and HI?

Back

TS is parallel to HI and its length is half the length of HI.

Tags

CCSS.HSG.SRT.B.4

Front

Solve for x if QR is a midsegment of triangle FGH and QR = 5.5, FG = x.

Back

x = 11.

Tags

CCSS.HSG.SRT.B.4

Front

Solve for x if TS is a midsegment of triangle GHI and TS = 4, HI = x.

Back

x = 8.

Tags

CCSS.HSG.SRT.B.4

Front

What are the properties of midsegments in triangles?

Back

Midsegments are parallel to the third side and half its length.

Tags

CCSS.HSG.SRT.B.4