Question

plot the image of quadrilateral abcd under a reflection across the y-axis.

Explanation:

Step1: Identify original coordinates

$A(1, -3), B(2, -6), C(4, -4), D(3, -2)$

Step2: Apply y-axis reflection rule

For a point $(x,y)$, reflection over y-axis is $(-x,y)$.

• $A'(-1, -3)$
• $B'(-2, -6)$
• $C'(-4, -4)$
• $D'(-3, -2)$

Step3: Plot reflected points

Plot $A'(-1, -3)$, $B'(-2, -6)$, $C'(-4, -4)$, $D'(-3, -2)$ and connect them to form the reflected quadrilateral.

Answer:

The reflected quadrilateral $A'B'C'D'$ has vertices at $(-1, -3)$, $(-2, -6)$, $(-4, -4)$, and $(-3, -2)$. When plotted and connected, this is the image of $ABCD$ reflected across the y-axis.