Midsegment of a Triangle

Front

What is the midsegment of a triangle?

Back

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

Front

What is the length of the midsegment in relation to the third side of the triangle?

Back

The midsegment is half the length of the third side.

Front

If segment AC is 42, what is the length of the midsegment DE?

Back

21 (DE = 1/2 * AC).

Front

What is the relationship between the midsegment and the angles of the triangle?

Back

The midsegment does not affect the angles of the triangle; it is parallel to the third side.

Front

If LN = 5, what is the length of segment AC?

Back

10 (AC = 2 * LN).

Front

Name a segment that has the same length as segment BD in a triangle with midsegment DE.

Back

Segment AD.

Front

What is the measure of angle X if it is opposite to the midsegment DE?

Back

60 degrees.

Front

If segment BE is a midsegment, what can be said about segments AB and EC?

Back

Segments AB and EC are equal in length.

Front

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

Back

The length of the midsegment is not directly dependent on the lengths of the two sides; it is always half the length of the third side.

Front

What is the significance of the midsegment in triangle similarity?

Back

The midsegment creates two smaller triangles that are similar to the original triangle.