Question

1. a triangle with vertices p(-5, 6), q(-2, 1), and r(-3, -3) is reflected across the y-axis. identify the coordinates of the image of point p.

Explanation:

Step1: Recall reflection over y - axis rule

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

Step2: Apply the rule to point \(P\)

For point \(P(-5,6)\), using the reflection rule across the \(y\) - axis, we substitute \(x = - 5\) and \(y = 6\) into the rule \((x,y)\to(-x,y)\). So, \(-x=-(-5) = 5\) and \(y = 6\).

Answer:

The coordinates of the image of point \(P\) are \((5,6)\)