Question

△pqr is rotated 180° around the origin to form △pqr. which coordinate is the same as the x-coordinate of point p? opposite of x-coordinate of point p which coordinate is the same as the y-coordinate of point p? x-coordinate of point p; y-coordinate of point p; opposite of x-coordinate of point p; opposite of y-coordinate of point p

Explanation:

Step1: Recall 180° rotation rule

A 180° rotation around the origin transforms a point \((x, y)\) to \((-x, -y)\). For point \(P(3, 1)\), \(P'\) is \((-3, -1)\).

Step2: Analyze \(y\)-coordinate of \(P'\)

The \(y\)-coordinate of \(P'\) is \(-1\). The \(y\)-coordinate of \(P\) is \(1\), and the opposite of \(1\) is \(-1\). So the \(y\)-coordinate of \(P'\) is the opposite of the \(y\)-coordinate of \(P\).

Answer:

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