TRIANGLE MIDSEGMENT THEOREM

Front

What is the Triangle Midsegment Theorem?

Back

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

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 D and E are midpoints of sides AB and AC respectively, what can be said about segment DE?

Back

Segment DE is parallel to side BC and is half the length of side BC.

Front

How do you find the length of a midsegment?

Back

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

Front

If side BC measures 10 cm, what is the length of the midsegment DE?

Back

The length of midsegment DE is 5 cm.

Front

Is segment DE parallel to side AC if D and E are midpoints of sides AB and AC?

Back

No, segment DE is parallel to side BC, not side AC.

Front

What is the relationship between the lengths of the midsegment and the third side of the triangle?

Back

The midsegment is always half the length of the third side.

Front

If segment XY is 2 meters and segment UW is 4 meters, what is the relationship between them?

Back

They are parallel.

Front

What can be concluded if two segments are parallel in a triangle?

Back

If two segments are parallel, the triangle's midsegment theorem applies, indicating the midsegment is half the length of the third side.

Front

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

Back

Midpoints are crucial as they define the midsegment, which is parallel to the third side and half its length.