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

Define 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 AB is a midsegment of triangle XYZ, what can be said about segment XY?

Back

Segment AB is parallel to segment XY and its length is half the length of segment XY.

Tags

CCSS.HSG.SRT.B.4

Front

What is the length of a midsegment if the side it is parallel to measures 20 units?

Back

The length of the midsegment would be 10 units.

Front

In triangle ABC, if AB = 12 units and AC = 16 units, what is the length of the midsegment connecting the midpoints of AB and AC?

Back

The length of the midsegment is 8 units.

Tags

CCSS.HSG.SRT.B.4

Front

If segment QR is a midsegment of triangle WUV and measures 8 units, what is the length of segment UV?

Back

The length of segment UV is 16 units.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between midsegments in a triangle?

Back

Midsegments in a triangle are parallel to the sides they are opposite to and are half their lengths.

Tags

CCSS.HSG.SRT.B.4

Front

If segment DE is a midsegment of triangle PQR, and segment PQ measures 14 units, what is the length of segment DE?

Back

The length of segment DE is 7 units.

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, measure the length of the side it is parallel to and divide by 2.

Tags

CCSS.HSG.SRT.B.4

Front

What segments are parallel in triangle ABC if DE is a midsegment connecting the midpoints of AB and AC?

Back

Segment DE is parallel to segment BC.

Tags

CCSS.HSG.SRT.B.4