Question

rotate the shape by $270^circ$ clockwise. move the blue points to the new coordinates.
show your work here

Explanation:

Step1: Identify original coordinates

Original points: $(-3, -2)$, $(-2, 2)$, $(1, 1)$, $(3, -6)$

Step2: Apply 270° clockwise rotation rule

The rule for rotating a point $(x, y)$ 270° clockwise around the origin is $(x, y) \to (-y, x)$.

• For $(-3, -2)$: $(-(-2), -3) = (2, -3)$
• For $(-2, 2)$: $(-2, -2)$
• For $(1, 1)$: $(-1, 1)$
• For $(3, -6)$: $(-(-6), 3) = (6, 3)$

Answer:

New coordinates of the blue points:

1. $(2, -3)$
2. $(-2, -2)$
3. $(-1, 1)$
4. $(6, 3)$

(To complete the task, move each blue point to its corresponding new coordinate on the grid.)