Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The 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 WUV and UV = 16, what is the length of QR?

Back

8

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

11

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

The midsegment 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 GE is a midsegment and its length is 12, what is the length of the side it is parallel to?

Back

24

Tags

CCSS.HSG.SRT.B.4

Front

What is the measure of angle X if it is corresponding to an angle formed by a midsegment?

Back

60 degrees

Tags

CCSS.HSG.CO.C.11

Front

If segment PM is parallel to EF, what can be said about the lengths of segments PM and EF?

Back

They are proportional to the lengths of the other sides of the triangle.

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 lengths of the two sides it connects and take the average.

Tags

CCSS.HSG.SRT.B.4

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

Front

If segment NP is a midsegment of triangle XYZ and XY = 20, what is the length of NP?

Back

10

Tags

CCSS.HSG.SRT.B.4