5.1: Midsegments of Triangles

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Presentation transcript:

5.1: Midsegments of Triangles

A midsegment of a triangle is a line segment that connects two sides of the triangle at their midpoints

Example What are the coordinates of D and E? What is the midpoint of AC? CB? Which side should DE be parallel to? Find the slope of DE and the line it’s parallel to Are DE and the other line parallel? Justify your answer What is the distance from A to B? What is the distance from D to E?

What are the 3 midsegments of this triangle? Identify 3 pairs of parallel segments in this triangle

U, T, and B are midpoints of the large triangle What are the lengths of TU, UB, and QR?

Assume AD = 6 and DE = 7.5 What are the lengths of DC, AC, EF, and AB?

What is the length of the bridge?

“Homework” Turn in by the end of class

Choose one problem from each section… plus 2 more