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5.1: Midsegments of Triangles

5.1: Midsegments of Triangles. Objectives: To use properties of midsegments to solve problems. Midsegment of a Triangle. Segment connecting the midpoints of 2 sides of a triangle. B. D. E. C. A. D is the midpoint of E is the midpoint of is the midsegment of.

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5.1: Midsegments of Triangles

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  1. 5.1: Midsegments of Triangles Objectives: To use properties of midsegments to solve problems

  2. Midsegment of a Triangle • Segment connecting the midpoints of 2 sides of a triangle B D E C A D is the midpoint of E is the midpoint of is the midsegment of

  3. Triangle MidsegmentTheorem If a segment joins the midpoints of 2 sides of a triangle, the segment is parallel to the 3rd side, and is ½ its length • Do NOT assume it’s a midsegment unless they tell you or you prove it.

  4. Triangle Midsegment Theorem is the midsegment of Therefore…. AND

  5. EXAMPLES: Find the value of the variables. 1. 2. A B C x x+2 E D 18 20

  6. Find the perimeter of D 5 3 E 7 A

  7. Find the value of the variable. (6x)° 30°

  8. In ∆XYZ, M, N, and P are midpoints. The perimeter of the ∆ MNP is 60 yd. Find NP and YZ. X 22 M P 24 Y Z N NAME ALL PARALLEL SEGMENTS:

  9. What is the measure of angle ANM? Angle A? Explain. A N M 65° C B

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