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

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 segment QR is a midsegment of triangle WXY, what can be said about segment WY?

Back

Segment WY is twice the length of segment QR.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between the angles formed by a midsegment and the angles of the triangle?

Back

The angles formed by a midsegment are equal to the angles of the triangle that are not adjacent to the midsegment.

Tags

CCSS.HSG.CO.C.10

Front

If SR = 46, what is the length of BR if BR is a midsegment?

Back

BR = 23, since a midsegment is half the length of the side it is parallel to.

Front

What is the length of a midsegment if it is parallel to a side of length 12?

Back

The length of the midsegment is 6, as it is half the length of the side.

Front

Identify a midsegment in triangle ABC.

Back

Segment DE, if D and E are midpoints of sides AB and AC respectively.

Front

What is the significance of the Midsegment Theorem in solving triangle problems?

Back

It helps in finding unknown lengths and establishing relationships between sides and angles in triangles.

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

What type of triangle can have a midsegment?

Back

Any triangle can have a midsegment, as long as it has at least two sides.