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Week 8. Warm Up. 12.05.11. Triangle Midsegment. A segment that connects two midpoints of a triangle. Ex 1. •. K ( 4, 5 ). Ex 2. J ( -2, 3 ). •. M =. ( 5 , 2 ). •. 1). N. Find midpoints of two sides. ( 2 , 1 ). •. M =. M. •. M = ( 2 , 1 ). L ( 6, -1 ). N =. N =.
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Week 8 Warm Up 12.05.11
Triangle Midsegment A segment that connects two midpoints of a triangle. Ex 1
• K ( 4, 5 ) Ex 2 J ( -2, 3 ) • M = ( 5 , 2 ) • 1) N Find midpoints of two sides. ( 2 , 1 ) • M = M • M = ( 2 , 1 ) L ( 6, -1 ) N = N = N = ( 5 , 2 )
• K ( 4, 5 ) Ex 2 J ( -2, 3 ) • ( 5 , 2 ) • = 2) N Find the slopes. ( 2 , 1 ) • M = • L ( 6, -1 ) = = =
• K ( 4, 5 ) Ex 2 J ( -2, 3 ) • JK = ( 5 , 2 ) • 3) N Find the distances. ( 2 , 1 ) • JK = M JK = • L ( 6, -1 ) JK = JK = MN = MN = MN = MN =
Theorem 5.9 C D E B A ∥ DE = AB
Ex 3 R Find UW and RT. U V 6 12 8 T W and are midsegments of ∆ RST S 2( 8 ) 2( VW ) 16 ( RS ) ( 12 ) RT = UW = RT = RT = UW = UW = 6
Midpoints are L( 4,2 ), M( 2,3 ) and N( 5,4 ) Ex 4 N • 1) 2) 3) Use slope to draw a parallel line to the opposite side from the midpoint to the endpoints. Plot Midpoints Find Slope • M 2 • L
E EF = ________ Do 1 : GF = ________ 10.6 24 DF = ________ J H JH = ________ 8 D F G Assignment Textbook Page 290, 13 - 29 odds.