MidSegment of a Triangle Worksheets
What is a MidSegment of a Triangle?
The line segment formed by joining the midpoint of any two sides of the triangle is known as the midsegment of a triangle. To put it simply, the midsegment essentially divides the two sides of a triangle equally. The midpoint of this midsegment divides both sides into equal halves.
In the figure shown above, we can see that the line segment DE is the midsegment of the triangle ABC. Point is diving side BC into equal halves, and the point D is dividing side AB into equal halves. However, the one side that the midsegment doesnâ€™t interact with is the base of the triangle.
The midsegment of a triangle has several properties; some of them are mentioned below:
The midsegment is parallel to the base of the triangle.
The midsegment of the triangle is exactly half the length of the base.
The perimeter of the triangle formed by the midsegment and the two half sides are equal to the onehalf the original perimeter of the triangle.
The two halfsides and the triangle formed by the midsegment are exactly onefourth of the area of the original triangle.
The angles of the two half sides and the triangle formed by the midsegment are of the same measurement as the original triangle.

Basic Lesson
Guides students through solving MidSegment of a Triangle. As the midsegment of a triangle joins the midpoints of two sides of a triangle such that its length is half the length of the third side of the triangle.
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Intermediate Lesson
Demonstrates the concept of advanced skill while solving MidSegment of a Triangle. Given AC = 5, CB = 3, AB = 4. A, B & C are midpoints. Find the perimeter of △ PQR.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the MidSegment of a Triangle.
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Independent Practice 2
Students use MidSegment of a Triangle in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of MidSegment of a Triangle.
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Calculate This!
What is (10812x9) + (189x2) + (497x7) + (14412x12) +
(12111x11) + (6416x4)?
A whole lot of work for nothing. When you follow the correct order of operations,
all of the parenthetical equations equal 0!