Triangle Midsegment

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 relationship between a triangle's midsegment and its parallel sides?

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

If the lengths of two sides of a triangle are 10 and 14, what is the length of the midsegment connecting those sides?

Back

The length of the midsegment is 7 (half of 14).

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the length of a midsegment if you know the lengths of the two sides it connects?

Back

The length of the midsegment is the average of the lengths of the two sides it connects.

Front

If AB = 16, what is QS when QS is the midsegment?

Back

QS = 32 (it is twice the length of the midsegment).

Tags

CCSS.HSG.SRT.B.4

Front

When SR = 68, what is CA if CA is the midsegment?

Back

CA = 34 (it is half the length of SR).

Tags

CCSS.HSG.SRT.B.4

Front

If LN = 5, what is AC if AC is the midsegment?

Back

AC = 10 (it is twice the length of LN).

Tags

CCSS.HSG.SRT.B.4

Front

What is the formula to calculate the length of a midsegment in a triangle?

Back

Length of midsegment = (Length of side 1 + Length of side 2) / 2.

Tags

CCSS.HSG.SRT.B.4

Front

If a triangle has sides of lengths 8 and 12, what is the length of the midsegment connecting these sides?

Back

The length of the midsegment is 10 (average of 8 and 12).

Tags

CCSS.HSG.SRT.B.4

Front

What happens to the midsegment if the triangle is scaled up or down?

Back

The midsegment will also scale up or down proportionally.

Tags

CCSS.HSG.CO.C.10