Question

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

Explanation:

Step1: Identify original coordinates

Original points: $(-2, 3)$, $(1, 7)$, $(3, -7)$, $(-2, -6)$

Step2: Apply 270° clockwise rotation rule

The rule for a $270^\circ$ clockwise rotation about the origin is $(x, y) \to (-y, x)$.

• For $(-2, 3)$: $\boldsymbol{(-3, -2)}$
• For $(1, 7)$: $\boldsymbol{(-7, 1)}$
• For $(3, -7)$: $\boldsymbol{(7, 3)}$
• For $(-2, -6)$: $\boldsymbol{(6, -2)}$

Step3: Map new coordinates to grid

Plot each calculated new point on the grid.

Answer:

The new coordinates of the rotated shape are $(-3, -2)$, $(-7, 1)$, $(7, 3)$, and $(6, -2)$. When plotted, these points form the $270^\circ$ clockwise rotated version of the original shape.