Efgh is a kite, with point e on the origin and fg = hg = a, where 0 < a < 8. note fg id parallel to the x-axis and gh is parallel to the y-axis a. give the coordinate of f and h in terms of ab. using the coordinate of e, f, g, and h, find the slope of eg and fh. show your workc. use part b to prove that eg _|_ fh and u! will def mark as brainliest once i can!

A. give the coordinate of F and H in terms of a

Given
E (0,0) and G (8,8)
H (8, [8-a])
F ([8 - a], 8)

B. using the coordinate of E, F, G, and H, find the slope of EG and FH. show your work

Line EG
E (0,0) and G (8,8)
slope = 8/8 = 1

Line FH
H (8, [8-a]) and F ([8 - a], 8)
slope = (8 - a - 8) / (8 - [8-a])
slope = (8 - a - 8) / (8 - 8 + a)
slope = -a/a
slope = -1

C. use part B to prove that EG _|_ FH 
Line EG has slope = 1 and line FH has slope = -1
Slopes are negative and reciprocal so the line EG is perpendicular to line FH.

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