Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The 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.

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 DE is a midsegment of triangle ABC, what can be said about segments AC and DE?

Back

Segment DE is parallel to segment AC and its length is half of AC.

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 the length of that side.

Front

If the length of segment AC is 20, what is the length of the midsegment DE?

Back

The length of segment DE is 10.

Front

Name a property of midsegments in triangles.

Back

Midsegments divide the triangle into two smaller triangles that are similar to the original triangle.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments help establish the similarity of triangles by showing proportional relationships between corresponding sides.

Front

If segment BD is equal to 8, what is the length of segment AD if DE is a midsegment?

Back

Segment AD is also equal to 8.

Front

How do you find the length of a midsegment if the lengths of the two sides it connects are known?

Back

The length of the midsegment is the average of the lengths of the two sides it connects.

Front

What can be concluded if two segments are midsegments of a triangle?

Back

If two segments are midsegments, they are parallel to the third side and equal in length.