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.

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 QR is a midsegment of triangle FGH, what can be said about the lengths of QR and side FG?

Back

QR is half the length of side FG.

Front

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

Back

The length of side GH is 16.

Front

Name a midsegment of triangle ABC.

Back

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

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 half its length.

Front

If segment AC is 10 units long, what is the length of the midsegment DE?

Back

The length of segment DE is 5 units.

Front

Which segment is parallel to segment AC in triangle ABC?

Back

Segment DE.

Front

If segment DE is a midsegment of triangle ABC, what can be inferred about segments AD and DB?

Back

Segments AD and DB are equal in length.

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.