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

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 AB and DE?

Back

Segment DE is parallel to segment AB and DE = 1/2 * AB.

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.

Front

If QR is a midsegment of triangle FGH, what is the relationship between QR and FG?

Back

QR is parallel to FG and QR = 1/2 * FG.

Front

How do you find the length of a midsegment if you know the length of the side it is parallel to?

Back

To find the length of a midsegment, divide the length of the parallel side by 2.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments help establish similarity between triangles by showing proportional relationships.

Front

If segment AB is 24 units long, what is the length of the midsegment DE?

Back

The length of midsegment DE is 12 units.

Front

What can be concluded if two segments are midsegments of two different triangles?

Back

If two segments are midsegments, they are parallel to the corresponding sides of their respective triangles and are proportional.

Front

In triangle XYZ, if segment MN is a midsegment, what can be said about segments XY and MN?

Back

Segment MN is parallel to segment XY and MN = 1/2 * XY.