SOLUTION: architect is trying to draw on an isosceles triangle on a grid to use in his next blueprint. He has a point at (6, 3) and a point at (-2, 3). What could be the third point?

Question 939248: architect is trying to draw on an isosceles triangle on a grid to use in his next blueprint. He has a point at (6, 3) and a point at (-2, 3). What could be the third point?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The slope of the line through the given points is:

This means the line is horizontal ( zero slope )
------------------
I will say there is a line segment starting at ( 6,3 )
having a slope of
-----------------------------
Also, there is a line segment from ( -2,3 ) having
a slope of
----------------------
These line segments meet at ( x, y ), where
, so the point is ( 2,y )
-----------------------------
I can say:

and

----------------
The third point is ( 2,7 )
The angles of the triangle are 45 -45 - 90

RELATED QUESTIONS
Todd has drawn a cul-de-sac for a residential development plan. He used a compass to draw (answered by Fombitz)

On an architect blueprint, 1 inch corresponds to 4feet, find the length of a wall... (answered by solver91311)

An architect draws a blueprint of a house. He draws the living room on the blueprint as... (answered by chen.aavaz)

stan wants to put a rectangular garden in his backyard. he has sketched out a plan for... (answered by josgarithmetic)

stan wants to put a rectangular garden in his backyard. he has sketched out a plan for... (answered by ikleyn)

Stan wants to put a rectangular garden in his backyard. He has sketched out a plan for... (answered by ikleyn)

I am trying to help my daughter with the following problem: C Street has an x-intercept... (answered by algebrapro18)

Andrew has a grid in the shape of an isosceles trapezoid. He has right triangles with an... (answered by macston)

matt was told to draw an isosceles right triangle on his paper. He drew a triangle with... (answered by Mathwiz6)