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iven the triangle ABC at points A = ( 2, 4 ) B = ( - 1, 3 ) C = ( - 4, 6 ), and if the triangle is first reflected over the y axis, and then over the x axis, find the new point A''.

iven the triangle ABC at points A 2 4 B 1 3 C 4 6 and if the triangle is first reflected over the y axis and then over the x axis find the new point A class=

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Solution:

Given a triangle, ABC, with the coordinates point A below

[tex]A=(2,4)[/tex]

If the triangle is reflected over the y-axis first, the rule for the transformation is

[tex](x,y)\rightarrow(-x,y)[/tex]

The coordinates of point A becomes,

[tex](2,4)\rightarrow(-2,4)[/tex]

Then, the reflected over the x-axis, the rule for the transformation is

[tex](x,y)\rightarrow(x,-y)[/tex]

Then, the new point, A" will be

[tex](-2,4)\rightarrow(-2,-4)[/tex]

Thus, the answer is option d

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