Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side 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 segment AC is 24 units long, what is the length of the midsegment DE?

Back

12 units.

Front

What is the relationship between the lengths of a triangle's midsegment and the side it is parallel to?

Back

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

Front

Name a midsegment of triangle ABC.

Back

Segment DE.

Front

If segment AB is 16 units long, what is the length of the midsegment connecting the midpoints of sides AC and BC?

Back

8 units.

Front

What is the length of segment DE if segment AC is 18 units long?

Back

9 units.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, then divide the length of the side it is parallel to by 2.

Front

If the midsegment DE is 6 units long, what is the length of the side it is parallel to?

Back

12 units.

Front

What is the significance of the Midsegment Theorem in geometry?

Back

It helps in solving problems related to triangle properties and relationships between sides.