The Triangle Midsegment Theorem

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle 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

If KJ is a midsegment of triangle WXV, what is the relationship between KJ and WX?

Back

KJ is parallel to WX and KJ = 1/2 * WX.

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 the length of side WX is 24, what is the length of the midsegment KJ?

Back

KJ = 1/2 * WX = 1/2 * 24 = 12.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle GHI, if TS is a midsegment and its length is 8, what is the length of side GH?

Back

GH = 2 * TS = 2 * 8 = 16.

Tags

CCSS.HSG.SRT.B.4

Front

What can be concluded if two midsegments are equal in length?

Back

If two midsegments are equal, the sides they are parallel to are also equal in length.

Tags

CCSS.HSG.SRT.B.4

Front

If angle Y measures 140 degrees, what can be said about angle X in triangle WXY?

Back

Angle X must measure 40 degrees, as the sum of angles in a triangle is 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

If QR is a midsegment of triangle WXY and its length is 6, what is the length of side WY?

Back

WY = 2 * QR = 2 * 6 = 12.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

The length of the midsegment is half the length of the side it is parallel to.