Question

17,322 Learners found this answer helpful

△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 \( P \)

By observing the graph, point \( P \) is at \( (3,1) \).

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

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:

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