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# Triangle Coordinates After Reflection and Mapping

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Triangle abc has coordinates a(-1,3), b(-6,5), and c(-4,7):
1- The coordinates of triangle a'b'c', the image of triangle abc after a reflection in the x-axis are a'------, ----- b'-----, ----- c'-----, -----?
2- The coordinates of triangle a''b''c'', the image of triangle abc after a reflection in the line y=x, are a''-----, ----- b''-----, ----- c''----, -----?
3- The coordinates of triangle a'''b'''c''', the image of triangle abc under the translation which maps (x,y) to (x+8,y+3) are, a'''----, ---- b'''----,---- c'''-----,-----?

https://brainmass.com/math/triangles/triangle-coordinates-reflection-mapping-544732

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1- The coordinates of triangle a'b'c', the image of triangle abc after a reflection in the x-axis are a'------, ----- b'-----, ----- c'-----, -----?
Ans: for reflection in the x-axis, we only change sign of y-coordinate and keep x-coordinate same.
So a'(-1,-3), b'(-6,-5) and C'(-4,-7)

2- The coordinates of triangle a''b''c'', the image of triangle abc after a reflection in the line y=x, are a''-----, ----- b''-----, ----- c''----, -----?
Ans: for reflection in the x-axis, we only switch y-coordinate and x-coordinate.
So a''(3,-1), b''(5,-6) and C'(7,-4)

3- The coordinates of triangle a'''b'''c''', the image of triangle abc under the translation which maps (x,y) to (x+8,y+3) are, a'''----, ---- b'''----,---- c'''-----,-----?
Ans: a(-1+8,3+3)=(7,6), b(-6+8,5+3)=(2,8) , and c(-4+8,7+3)=(4,10).

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!