Midsegments of Triangles

Front

What is a midsegment of a triangle?

Back

A midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle.

Front

What is the relationship between a midsegment and the sides of a triangle?

Back

A midsegment is parallel to the third side of the triangle and its length is half the length of that side.

Front

If a triangle has sides of lengths 30 and 42, what is the length of the midsegment connecting the midpoints of these sides?

Back

The length of the midsegment is 21.

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, take the length of the side it is parallel to and divide it by 2.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle.

Front

If AC = 42, what is the length of the midsegment DF?

Back

DF = 21.

Front

What are the properties of midsegments in triangles?

Back

Midsegments are parallel to one side of the triangle and are half the length of that side.

Front

How can you identify midsegments in a triangle diagram?

Back

Midsegments can be identified as segments connecting the midpoints of two sides of the triangle.

Front

What is the formula for the length of a midsegment?

Back

Length of midsegment = 1/2 * length of the side it is parallel to.

Front

If a triangle has midsegments PN and AB, what can be said about their lengths?

Back

PN and AB are both parallel to the third side and each is half the length of that side.