Question

△ear is rotated 180° about the origin. draw the image of this rotation.

Explanation:

Step1: Identify original coordinates

From the graph:
$E(-5, -6)$, $A(-5, 4)$, $R(-2, 2)$

Step2: Apply 180° rotation rule

A 180° rotation about the origin transforms a point $(x,y)$ to $(-x,-y)$.

• For $E(-5, -6)$: $E'(5, 6)$
• For $A(-5, 4)$: $A'(5, -4)$
• For $R(-2, 2)$: $R'(2, -2)$

Step3: Plot and connect new points

Plot $E'(5, 6)$, $A'(5, -4)$, $R'(2, -2)$, then connect them to form $\triangle E'A'R'$.

Answer:

The image $\triangle E'A'R'$ has vertices at $E'(5, 6)$, $A'(5, -4)$, and $R'(2, -2)$. When plotted and connected on the coordinate grid, this forms the 180° rotation of $\triangle EAR$ about the origin.