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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 a

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

C. use part B to prove that EG _|_ FH

please and thank u! will def mark as brainliest once I can!

EFGH is a kite with point E on the origin and FG HG a where 0 lt a lt 8 note FG id parallel to the xaxis and GH is parallel to the yaxis A give the coordinate o class=

Respuesta :

choixongdong
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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