What is the Midsegment theorem?

Midsegment Theorem: The segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side.

What is the triangle Midsegment theorem formula?

The Triangle Midsegment Theorem A midsegment connecting two sides of a triangle is parallel to the third side and is half as long. then ¯DE∥¯BC and DE=12BC .

What are the three properties of the Midsegment theorem?

Properties

• The midsegment is always parallel to the third side of the triangle.
• The midsegment is always half the length of the third side.
• A triangle has three possible midsegments, depending on which pair of sides is initially joined.

What is the length of the Midsegment?

Explanation: A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment has two special properties. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

What is the Midsegment theorem of a trapezoid?

Now that we understand some of the basics of trapezoids, let’s talk about the trapezoid midsegment theorem, which states that the length of the midsegment is equal to the sum of the base lengths divided by 2. In other words, the midsegment is the average length of the two bases.

Why does the Midsegment theorem work?

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long. And seeing as there are three sides to a triangle, that means there are three midsegments of a triangle as well. But the amazingness does stop there!

What are two properties of a Midsegment?

What is the value of the Midsegment?

The Midsegment Theorem states that the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side.

What is the measure of Midsegment?

The Midsegment Theorem states that the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. So, if D F ¯ is a midsegment of △ A B C , then D F = 1 2 A C = A E = E C and D F ¯ ‖ A C ¯ .

How many Midsegments does a triangle have?

A midsegment of a triangle is a segment that joins the midpoints of two sides of the triangle. Together, the three midsegments of a triangle form the sides of the midsegment triangle.

How do you find the length of a Midsegment?

Measure and write down the length of the two parallel bases. Add the two numbers. Divide the result by two. This is the length of the midsegment.

What are the properties of Midsegment?