Plot the points on graph paper.Find two locations of point F such that triangle ABC is equal to triangle DEF. A(- 1, 1) B(- 4, 5) C(- 6, -2) D(1, 1) E(4, 5

Question

i have point (6,-2) but not the other one

 

Answer 1

You are correct that F₁ (6,-2) is one point, simply a reflection over
the y-axis. Now consider the line drawn connecting points D and 
E as a side of ΔDEF. You will want to reflect your found point

F₁ (6,-2) over this line to find point F₂, the second point.

Find the equation of the line drawn thru points D and E (y=(4/3)x-(1/3))

Find the equation of the line perpendicular to this line passing thru 

F₁ (y=(-3/4)x+(10/4)).  Second point, F₂ (-3.28,4.96), will lie on this

line the same distance from DE as F₁.  Verify above equations and 

coordinates.

 

This should guide you toward your solution, now show the work.