Question

which coordinate is the same as the x - coordinate of point g?
opposite of y - coordinate of point g
opposite of x - coordinate of point g
y - coordinate of point g
x - coordinate of point g
which coordinate is the same as the y - coordinate of point g?
opposite of y - coordinate of point g
opposite of x - coordinate of point g
y - coordinate of point g
x - coordinate of point g
△fgh is rotated 90 counterclockwise around the origin to form △fgh.

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) counter - clockwise around the origin, the new coordinates \((x',y')\) follow the rule \((x,y)\to(-y,x)\). For point \(G(-2,-4)\), after rotation, \(G'\) has coordinates \((4, - 2)\).

Step2: Compare coordinates

The \(x\) - coordinate of \(G(-2,-4)\) is \(-2\), and the \(x\) - coordinate of \(G'(4,-2)\) is \(4\) (not relevant). The \(y\) - coordinate of \(G(-2,-4)\) is \(-4\), and the \(y\) - coordinate of \(G'(4,-2)\) is \(-2\) (not relevant). The opposite of the \(x\) - coordinate of \(G(-2,-4)\) is \(2\) (not relevant). The opposite of the \(y\) - coordinate of \(G(-2,-4)\) is \(4\), which is the \(x\) - coordinate of \(G'(4,-2)\) (not relevant). The \(x\) - coordinate of \(G'\) is \(4\), and the opposite of the \(y\) - coordinate of \(G\) is \(4\). The \(y\) - coordinate of \(G'\) is \(-2\), and the \(x\) - coordinate of \(G\) is \(-2\), the opposite of the \(x\) - coordinate of \(G\) is \(2\) (not relevant).

Answer:

Opposite of \(y\) - coordinate of point \(G\)