Triangle Midsegments

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 property of midsegments in a triangle?

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

If a triangle has sides of lengths 10 and 14, what is the length of the midsegment connecting these sides?

Back

7 (half of the length of the third side, which is 14).

Tags

CCSS.HSG.CO.C.10

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 equal to half the length of the side it is parallel to.

Front

What is the relationship between the midsegment and the triangle's area?

Back

The area of the triangle formed by the midsegment is one-fourth the area of the original triangle.

Tags

CCSS.HSG.CO.C.10

Front

If segment AB is a midsegment of triangle CDE, what can be said about segment DE?

Back

Segment DE is parallel to segment AB and is twice its length.

Tags

CCSS.HSG.SRT.B.4

Front

What is the significance of midpoints in triangle midsegments?

Back

Midpoints are crucial as they define the endpoints of the midsegment.

Tags

CCSS.HSG.CO.C.10

Front

If the midsegment of a triangle is 8 units long, what is the length of the side it is parallel to?

Back

16 units (the midsegment is half the length of the side it is parallel to).

Tags

CCSS.HSG.SRT.B.4

Front

Can a midsegment be longer than the side it is parallel to?

Back

No, a midsegment cannot be longer than the side it is parallel to.

Front

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

Back

Length of midsegment = 1/2 * Length of the side it is parallel to.