Objective Use properties of triangle midsegments..

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Presentation transcript:

Objective Use properties of triangle midsegments.

__________________ – a perpendicular segment from a vertex to the line containing the opposite side. Every triangle has three altitudes. An altitude can be inside, outside, or on the triangle.

________________– a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side. Every triangle has three medians.

______________– a segment that joins the midpoints of two sides of the triangle. Every triangle has three midsegments, which form the midsegment triangle.

Example 1A: Using the Triangle Midsegment Theorem Find each measure. BD

Example 1B: Using the Triangle Midsegment Theorem Find each measure. mCBD

Check It Out! Example 2a Find each measure. JL

Check It Out! Example 2b Find each measure. PM

Check It Out! Example 2c Find each measure. mMLK

Example 3: Indirect Measurement Application In an A-frame support, the distance PQ is 46 inches. What is the length of the support ST if S and T are at the midpoints of the sides?