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5.1 Midsegments of Triangles On April 18th, 1775 the signal was to tell Paul Revere whether the British were going to approach Lexington by sea or by land.

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Presentation on theme: "5.1 Midsegments of Triangles On April 18th, 1775 the signal was to tell Paul Revere whether the British were going to approach Lexington by sea or by land."— Presentation transcript:

1 5.1 Midsegments of Triangles 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. IF-LAND IF-IF-C Can you figure out the puzzle below??? One if by land, two if by sea.

2 Theorem… 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 Midsegment of a Triangle: a segment connecting the midpoints of two sides of a triangle

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

4 Parallel Segments In, A, B, and C are midpoints. Name the pairs of parallel segments. *What theorem justifies that the lines are parallel?

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

6 Real Life is a new bridge being built over a lake as shown. Find the length of the bridge. How long is the bridge in miles?

7 Midterm Review Find the next two terms in the following sequences. 5, 10, 20, 40 Find the midpoint and the distance between the following two points. A(-2, 1) B(2, 4)

8 Midterm Review 3) What is another name for the plane Q? *Why is plane EBD not an acceptable name for plane Q?* Use the figure below to answer the following. G 1) Find the intersection of plane Q and ED. 2) Find the intersection of AC and FG.

9 5.1 Midsegments of Triangles HW (5.1) Pg. 262: #1, 4, 6, 7-11, 13, 14, 18, 20-22, 26, 34, 36 p.73: #36-37 p.74: #1-3, 6-8 Space Invaders


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