Midsegment of a triangle Midsegment of a triangleis

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Midsegment of a triangle

Midsegment of a triangle

• Midsegment of a triangle-is a segment connecting the midpoint of two sides

• Midsegment of a triangle-is a segment connecting the midpoint of two sides of a triangles. 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.

• Properties of Midsegment within triangles. Midsegment Theorem: • A. Parallel to the

• Properties of Midsegment within triangles. Midsegment Theorem: • A. Parallel to the third • B. Half as long as the third side. • C. The midsegment is half the length of the base. • D. The triangle formed by the midsegment and the two half sides have all the same angle measures as the original triangle. • E. The perimeter of the triangle formed by the midsegment and the two half sides is equal to one half the perimeter of the original triangle.

• F. The area of the triangle formed by the midsegment and the

• F. The area of the triangle formed by the midsegment and the two half sides is equal to one fourth the are of the original triangle. • ● Statement of the conjecture: • ● Triangle Midsegment of Conjecture- a midsegment of a triangle is parallel to the third side and is half the length of the third side. • ● Trapeziod Midsegment Conjecture- the midsegment of the trapeziod is parallel to the bases and is equal in length to the average of the lengths of the two bases.

Evaluation: Directions: Write true if the statement is correct and false if it is

Evaluation: Directions: Write true if the statement is correct and false if it is wrong. 1. The construction on the following diagram proves that AE=EB. 2. The construction on the following diagram is the correct illistration of the construction of parallel to AB. 3. The following diagram shows the first step in comstructing a 45° angle. 4. This illustration below is a 30° angle? 5. This illustration below is a 45° angle?

Triangle Segments Triangle Midsegment A midsegment of aTriangle Segments Triangle Midsegment A midsegment of a
5 4 The Triangle Midsegment Theorem Vocabulary midsegment5 4 The Triangle Midsegment Theorem Vocabulary midsegment
Triangle Midsegment Theorem 6 4 A midsegment ofTriangle Midsegment Theorem 6 4 A midsegment of
Lesson 5 4 Prove Midsegment Theorem Use MidsegmentLesson 5 4 Prove Midsegment Theorem Use Midsegment