Question

map the coordinates of the reflection of triangle fgh with vertices f(-7, -2), g(-1, -4) and h(-5, -5): in the y-axis

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Reflect point F(-7, -2)

For point \(F(-7,-2)\), applying the rule \(x=-7\), so \(-x = 7\) and \(y=-2\) remains the same. So the reflected point \(F'\) is \((7,-2)\).

Step3: Reflect point G(-1, -4)

For point \(G(-1,-4)\), applying the rule \(x = - 1\), so \(-x=1\) and \(y = - 4\) remains the same. So the reflected point \(G'\) is \((1,-4)\).

Step4: Reflect point H(-5, -5)

For point \(H(-5,-5)\), applying the rule \(x=-5\), so \(-x = 5\) and \(y=-5\) remains the same. So the reflected point \(H'\) is \((5,-5)\).

Answer:

The coordinates of the reflection of triangle \(FGH\) over the \(y\) - axis are \(F'(7,-2)\), \(G'(1,-4)\) and \(H'(5,-5)\)