Question

1. reflect the figure across the x - axis. what are the coordinates after the reflection across x - axis? a(4, - 4)→a, b(6, - 4)→b, c(7, - 7)→c, d(5, - 7)→d

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point A(4, - 4)

For point A(4, - 4), using the rule $(x,y)\to(x, - y)$, we get A'(4,4).

Step3: Apply rule to point B(6, - 4)

For point B(6, - 4), we have B'(6,4).

Step4: Apply rule to point C(7, - 7)

For point C(7, - 7), we get C'(7,7).

Step5: Apply rule to point D(5, - 7)

For point D(5, - 7), we get D'(5,7).

Answer:

A'(4,4), B'(6,4), C'(7,7), D'(5,7)