Question

△pqr is rotated 180° around the origin to form △pqr.
what are the coordinates of point p and
point p?
p(?,?)
p(?,?)

Explanation:

Step1: Determine the coordinates of point \( P \)

From the graph, point \( P \) is at \( (3, -1) \).

Step2: Apply the rule for a \( 180^{\circ} \) rotation

The rule for a \( 180^{\circ} \) rotation around the origin is \( (x,y)\to(-x,-y) \).
For point \( P(3, -1) \), applying the rule: \( x = 3,y=-1 \), then \( -x=-3,-y = 1 \).

Answer:

\( P(3,-1) \), \( P'(-3,1) \)