Objective Prove and use properties of triangle midsegments.

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Presentation transcript:

Objective Prove and use properties of triangle midsegments.

A midsegment of a triangle is a segment that joins the midpoints of two sides of the triangle. Every triangle has three midsegments.

Example : Find each measure. BD

Example: Find each measure. mCBD

Example: Find each measure. JL

Lesson Quiz: Part I Use the diagram for Items 1–3. Find each measure. 1. ED 2. AB 3. mBFE

Lesson Quiz: Part II 4. Find the value of n. 5. ∆XYZ is the midsegment triangle of ∆WUV. What is the perimeter of ∆XYZ?

Graph A, B, and C. Determine the midsegment that joins and in each triangle. Prove that it is the midsegment Example 1) A (─4, 3) B(0,─1) C (6, 1) Midpoint of AB : E ________ Midpoint of BC: F ________ Slope of AC : _________ Distance of AC: ________ Slope of EF: _________ Distance of EF : ________