Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

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

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 DE is a midsegment of triangle ABC, what can be said about segment AC?

Back

Segment DE is parallel to segment AC and its length is half the length of segment AC.

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, and the midsegment will be half the length of the third side.

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

Back

The length of QR is 11, since it is half the length of BC.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle KIJ, if VW is a midsegment and KI = 8, what is the length of VW?

Back

The length of VW is 4, since it is half the length of KI.

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 can help establish similarity between triangles by showing proportional relationships between corresponding sides.

Tags

CCSS.HSG.SRT.B.4

Front

If DE is a midsegment of triangle ABC, and BC = 10, what is the length of DE?

Back

The length of DE is 5, as it is half the length of BC.

Tags

CCSS.HSG.SRT.B.4