5.1 Midsegments of Triangles IF-LAND IF-IF-C Can you figure out the puzzle below??? On April 18th, 1775 the signal was to tell Paul Revere whether the British were going to approach Lexington by sea or by land. A patriot placed two lamps in the tower and Paul Revere then spread the word to the rest of the patriots so they could be ready for the battle. One if by land, two if by sea.

Midsegments Midsegment of a Triangle: a segment connecting the midpoints of two sides of a triangle Theorem 5-1: Triangle Midsegment Theorem If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side, and is half its length

Finding Lengths In , H, J, and K are midpoints. Find HJ, JK, and FG. AB = 10 and CD = 26. Find EB, BC, and AC.

Parallel Segments In , A, B, and C are midpoints. Name each midsegment and the side of the triangle parallel to it. *What theorem justifies that the lines are parallel?

Parallel Segments Find and . Justify your answer. If XY = 3x + 2 and UV = 16, find the value of x.

Midsegments Find the values for x and y. 6

Kick it up a notch! Find the values for w, x, y, and z. Round to the nearest tenth. 7

Recall that previous knowledge! Find the equations for the lines that represent the midsegments of the following triangle. 8

5.1 Midsegments of Triangles VAD ERS Can you figure out the puzzle below??? HW: p.262 #1-25 odd, 32, 33 Space Invaders