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2.7 Medians of Triangles

C (6, 10). M (9, 7). B (12, 4). A (2, 2). 2.7 Medians of Triangles. 1) The coordinates of D ABC are A (2, 2), B (12, 4), C (6, 10). Determine the length of the median from A to side BC. Find midpoint of side BC. M = (9, 7). Join AM. C (6, 10). M (9, 7). B (12, 4). A (2, 2).

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2.7 Medians of Triangles

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  1. C(6, 10) M(9, 7) B(12, 4) A(2, 2) 2.7 Medians of Triangles 1) The coordinates of DABC are A(2, 2), B(12, 4), C(6, 10). Determine the length of the median from A to side BC. Find midpoint of side BC. M = (9, 7) Join AM

  2. C(6, 10) M(9, 7) B(12, 4) A(2, 2) 1) continued Determine the length of AM.

  3. Q(3, 7) R(7, 1) P(–5, 0) M(5, 4) 2) The coordinates of DPQR are P(–5,0), Q(3, 7), R(7, 1). Determine the equation of the median from P to side QR. Find the midpoint of QR. M = (5, 4) Join MP

  4. 2) continued Q(3, 7) R(7, 1) P(–5, 0) M(5, 4) y = mx + b Determine the equation of MP.

  5. Q(3, 7) R(7, 1) P(–5, 0) M(5, 4) 2) continued y = mx + b Determine the equation of MP. sub (5,4) to find b 4 = 2 + b 2 = b

  6. l 3) Determine the equation of theperpendicularbisector of AB. A(–5, 6) B(7, –2) The perpendicular bisector passes through the midpoint and is perpendicular to AB. A(–5, 6) M = (1, 2) M(1, 2) The slope of the perpendicular bisector is the negative reciprocal slope of AB. B(7, –2) Find slope of AB …

  7. sub in M(1,2) l M(1, 2) The slope of l is 3) continued A(–5, 6) B(7, –2)

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