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Learn and apply properties of triangle midsegments. Find measures and values, determine perimeters, and prove midsegment properties.
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Objective Prove and use properties of triangle midsegments.
A midsegment of a triangleis 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. mCBD
Example: Find each measure. JL
Lesson Quiz: Part I Use the diagram for Items 1–3. Find each measure. 1.ED 2.AB 3. mBFE
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 : ________