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The point A (3,4) is reflected over the x-axis to B. Then B is reflected over the line y=x to C. What is the area of triangle ABC?

 Sep 13, 2018
 #1
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Sorry...I posted incorrect answer....

     Agree with Chris' answer....

 Sep 13, 2018
edited by ElectricPavlov  Sep 13, 2018
 #2
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When A is reflected over the x axis to B....the new point is  ( 3, -4)

Call this the base of the triangle AB  = 8  units

And the equation  of the line on which this base lies is  x  = 3

 

When B is reflected over the line y  = x  the new point C has the  coordinates  ( -4, 3)

The  distance from this point to the line  x  =  3  is the height of the triangle  = 7

 

So....the area  of ABC   = (1/2) AB * 7   = (1/2) (8)(7)    = 28 units^2

 

 

 

cool cool cool

 Sep 13, 2018

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