Triangle Midsegment Theorem Continued

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle 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

If DE is a midsegment of triangle ABC, what can be said about DE in relation to AC?

Back

DE is parallel to AC and its length is half the length of AC.

Front

Given a triangle with midsegment DE, if AC = 20, what is the length of DE?

Back

DE = 10.

Front

What is a midsegment in a triangle?

Back

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

Front

If LN = 5 and LN is a midsegment, what is the length of AC?

Back

AC = 10.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, take half the length of the side it is parallel to.

Front

If AB = 34 and DE is a midsegment, what is the length of DE?

Back

DE = 17.

Front

What is the relationship between the lengths of the sides of a triangle and its midsegments?

Back

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

Front

If a triangle has sides of lengths 12, 16, and 20, what is the length of the midsegment parallel to the side of length 20?

Back

The length of the midsegment is 10.

Front

If x is the length of a midsegment and it is parallel to side AC, and AC = 30, what is x?

Back

x = 15.