Question

△pqr is rotated 180° around the origin to form △pqr. which coordinate is the same as the x-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; p(3,1) p(-3,-1)

Explanation:

Step1: Recall 180° rotation rule

A 180° rotation around the origin transforms a point \((x, y)\) to \((-x, -y)\).

Step2: Analyze point \(P\) and \(P'\)

Given \(P(3, 1)\), after 180° rotation, \(P'(-3, -1)\). The \(x\)-coordinate of \(P'\) is \(-3\), which is the opposite of \(P\)'s \(x\)-coordinate (\(3\)).

Answer:

Opposite of \(x\)-coordinate of point \(P\) (the option "Opposite of \(x\)-coordinate of point \(P\)")