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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?

 Nov 7, 2020
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Answer: 3

\(A(3,4) \) reflected over the X-axis is \(B(-3,4)\).

\(B(-3,4)\) reflected over y=-x is \((-y,-x)\) which means that C is \(C(-4,3)\)

If we create an imaginary rectangle, the area of that is 7. Subtract the corners, and we get \(7-\frac{1}{2}-\frac{7}{2}=3\)

 Nov 7, 2020

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