Midsegment Theorem (line segments)

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.

Front

If AB = 16, what is the length of the midsegment QS?

Back

QS = 8, since the midsegment is half the length of AB.

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

If QR is a midsegment of triangle WUV and its length is 8, what is the length of side UV?

Back

UV = 16, because the midsegment is half the length of the side it is parallel to.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, take the average of the lengths of the two sides it connects.

Front

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

Back

The length of the midsegment is 12, which is the average of 10 and 14.

Front

What is the relationship between a triangle's midsegment and its base?

Back

The midsegment is parallel to the base and is half its length.

Front

If a triangle has sides of lengths 6, 8, and 10, what is the length of the midsegment connecting the sides of lengths 6 and 10?

Back

The length of the midsegment is 8, which is half the length of the side of length 10.

Front

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

Back

The midsegment will also scale up or down proportionally, maintaining its relationship to the sides it connects.

Front

If the midsegment of a triangle is 5, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 10, since the midsegment is half that length.