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

Explanation:

Step1: Recall rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) around the origin, the new point is \((-x,-y)\).

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

Given \(P(3,1)\), after \(180^{\circ}\) rotation, \(P'(-3, - 1)\). The \(x\)-coordinate of \(P'\) is \(-3\), which is the opposite of the \(x\)-coordinate of \(P\) (\(3\)).

Answer:

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