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A triangle has corners at #(3, -5 )#, ( 2 , -1)#, and #( 4 , 3)#. What will the new coordinates of the triangle be if it is reflected across the x-axis?

Answer 1

Jayden Jackson

#(3,-5)to(3,5),(2,-1)to(2,1),(4,3)to(4,-3)#

Under a reflection in the x-axis a point

#color(red)(|bar(ul(color(white)(a/a)color(black)((x,y)to(x,-y))color(white)(a/a)|)))#

Under a reflection in the y-axis a point

#color(red)(|bar(ul(color(white)(a/a)color(black)((x,y)to(-x,y)color(white)(a/a)|)))#

#rArr(3,-5)to(3,5),(2,-1)to(2,1)" and " (4,3)to(4,-3)#

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Answer 2

Allison Allen

The new coordinates of the triangle after reflecting it across the x-axis are:

(3, 5), (2, 1), and (4, -3).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.