Question

quadrilateral pqrs is rotated 90° clockwise about the origin to form quadrilateral pqrs. what is the y-coordinate of point p?

Explanation:

Step1: Find coordinates of P

From the graph, point \( P \) has coordinates \( (-1, 2) \).

Step2: Apply 90° clockwise rotation rule

The rule for rotating a point \( (x, y) \) 90° clockwise about the origin is \( (x, y) \to (y, -x) \).

Step3: Calculate coordinates of \( P' \)

For \( P(-1, 2) \), applying the rule: \( x = -1 \), \( y = 2 \). So \( P' \) will be \( (2, -(-1))=(2, 1) \).

Answer:

The \( y \)-coordinate of \( P' \) is \( 1 \).