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 the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) around the origin, the new point is \((-x,-y)\).
For point \(P(3,1)\), after \(180^{\circ}\) rotation around the origin, \(P'\) is \((- 3,-1)\).

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

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

Answer:

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