Midsegment Theorem

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 does the Midsegment Theorem state?

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

If DE is a midsegment of triangle ABC, what can be said about DE and BC?

Back

DE is parallel to BC and its length is half the length of BC.

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 length of the side it is parallel to and divide by 2.

Front

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

Back

DE = 10 / 2 = 5.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between midsegments in similar triangles?

Back

In similar triangles, the lengths of corresponding midsegments are proportional to the lengths of the corresponding sides.

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 geometry?

Back

Midsegments help in understanding triangle properties, proving congruence, and solving geometric problems.

Front

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

Back

WV = 8 * 2 = 16.

Tags

CCSS.HSG.SRT.B.4

Front

What is an example of a midsegment in triangle XYZ?

Back

If M and N are midpoints of sides XY and XZ respectively, then segment MN is a midsegment.

Tags

CCSS.HSG.SRT.B.4