Question

rotate the shape by $180^circ$ counterclockwise. move the blue points to the new coordinates.
show your work here

Explanation:

Step1: Identify original coordinates

Original vertices: $(-3, -4)$, $(2, 3)$, $(3, -4)$

Step2: Apply 180° rotation rule

For a point $(x,y)$, 180° counterclockwise rotation gives $(-x,-y)$.

• For $(-3, -4)$: $(-(-3), -(-4))=(3, 4)$
• For $(2, 3)$: $(-2, -3)$
• For $(3, -4)$: $(-3, 4)$

Answer:

The new coordinates of the rotated triangle's vertices are $(3, 4)$, $(-2, -3)$, and $(-3, 4)$.