Question

write the coordinates of the vertices after a rotation $90^{\circ}$ counterclockwise around the origin.

Explanation:

Step1: Identify original vertex coordinates

From the graph, the original vertices are:
$B(-7, -6)$, $C(-2, -6)$, $D(-2, -2)$, $E(-7, -2)$

Step2: Apply 90° counterclockwise rotation rule

The rule for a 90° counterclockwise rotation around the origin is $(x, y) \to (-y, x)$

• For $B(-7, -6)$: $(-(-6), -7) = (6, -7)$
• For $C(-2, -6)$: $(-(-6), -2) = (6, -2)$
• For $D(-2, -2)$: $(-(-2), -2) = (2, -2)$
• For $E(-7, -2)$: $(-(-2), -7) = (2, -7)$

Answer:

$B'(6, -7)$, $C'(6, -2)$, $D'(2, -2)$, $E'(2, -7)$