Triangle Midsegment Theorem

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

Tags

CCSS.HSG.SRT.B.4

Front

If D and E are midpoints of sides AB and AC of triangle ABC, what can we say about segment DE?

Back

Segment DE is a midsegment of triangle ABC, parallel to side BC and its length is half of BC.

Tags

CCSS.HSG.SRT.B.4

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

If the length of side BC is 24, what is the length of the midsegment DE?

Back

The length of midsegment DE is 12, which is half of the length of side BC.

Front

Which segments are parallel in triangle ABC if D and E are midpoints of sides AB and AC?

Back

Segment DE is parallel to side BC.

Tags

CCSS.HSG.SRT.B.4

Front

If the midsegment of a triangle is 18, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 36, since the midsegment is half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between midsegments and the sides of a triangle?

Back

Midsegments are always parallel to one side of the triangle and are half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle ABC, if DE is a midsegment, which of the following is true? DE || BC and DE = 1/2 BC.

Back

True.

Tags

CCSS.HSG.SRT.B.4

Front

If segment DE is a midsegment and DE = 11, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 22.

Tags

CCSS.HSG.SRT.B.4

Front

What is the significance of midpoints in the Triangle Midsegment Theorem?

Back

Midpoints are crucial as they define the midsegment, which has specific properties related to the triangle's sides.

Tags

CCSS.HSG.SRT.B.4