Midsegment Theorem

Front

What is the Midsegment Theorem in geometry?

Back

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

Tags

CCSS.HSG.SRT.B.4

Front

If SR = 68, what is the length of CA according to the Midsegment Theorem?

Back

34, because CA is half the length of SR.

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

Name a midsegment of triangle ABC.

Back

Segment DE.

Front

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

Back

The length of a midsegment is half the length of the side it is parallel to.

Front

If QR is a midsegment of triangle BCD, and BC = 22, what is the length of QR?

Back

11, because QR is half the length of BC.

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 that of the side.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

6, because QR is half the length of WY.

Tags

CCSS.HSG.SRT.B.4

Front

Can a triangle have more than one midsegment?

Back

Yes, a triangle has three midsegments, one for each pair of sides.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle.

Tags

CCSS.HSG.SRT.B.4