Question

1. polygon abcd has coordinates a(1, 3), b(4, 5), c(-2, 6), and d(-3, 4). the polygon is reflected across the x - axis. write the coordinates of polygon abcd.

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the $x - axis$, the rule is $(x,y)\to(x, - y)$.

Step2: Find coordinates of $A'$

For point $A(1,3)$, applying the rule: $A'(1,-3)$.

Step3: Find coordinates of $B'$

For point $B(4,5)$, applying the rule: $B'(4,-5)$.

Step4: Find coordinates of $C'$

For point $C(-2,6)$, applying the rule: $C'(-2,-6)$.

Step5: Find coordinates of $D'$

For point $D(-3,4)$, applying the rule: $D'(-3,-4)$.

Answer:

$A'(1,-3), B'(4,-5), C'(-2,-6), D'(-3,-4)$