Team+Ellah

Ellery M. Hannah M. Hour 7 Honors Geometry

A: (7, -5) B: (8, 2) Segment GE = 16.49 cm     Segment FG = 17.20cm Segment EF = 14.14 cm     Measure of angle EGF = 49.57° Measure of angle GFE = 62.59° Measure of angle FEG = 67.83° Midpoint for segment GF     G (0, 0) __ + F (14, -10)  __ 14, -10   __  14, -10  __    2, 2 = 7, -5      Midpoint for segment GE      G (0, 0) __ +E (16, 4) __ 16, 4   __  (16, 4)  __    (2, 2) = (8, 2)      Slope of Segment GE      G (0, 0) __ - E (16, 4)  __ (-16, -4)     Slope of Segment GF      G (0, 0) __ - F (14, -10)  __ (-14, 10)     Perpendicular Bisector of segment GE equation: y= -16/4x+b (2)= -16/4(8) + b     2= -32 + b      34=b y= -16/4x + 34 Perpendicular Bisector of segment GF equation: Y= 14/10x + b     (-5) = 14/10(7) + b      -5 = 9.8 + b      -14.8 = b      Y = 14/10x – 14.8 Systems of equations for x:     14/10x-14.8=-16/4x+34 __ - 14/10x - 14/10  __ -14.8 = -5.4x + 34 __ -34 -34  __   __ -48.8 __ = __-5.4x__ -5.4 -5.4     9.04 = x      System of equations for y:      y = -16/4x+34 y = -4 (9.04) + 34 y = -2.16 Distance equation: a      d = √ (-1+9.04)² + (-7+-2.16)² d = √ (8.04)² + (-9.16)² a      d = √ (64.6416) + (-83.9056) d = √ (-19.264) d = 37531/8551or 4.3890773