Question

triangle abc with vertices a(-4, 2), b(4, 7), and c(5, 1) in the x - axis. 2. find new vertices for abc using rule (x, -y) reflection in the x - axis. a(__ ) b( ) c( __)

Explanation:

Step1: Apply rule to point A

Given $A(-4,2)$, for reflection in the $x - axis$ using the rule $(x,-y)$, we keep the $x - coordinate$ the same and change the sign of the $y - coordinate$. So $A'(-4,- 2)$.

Step2: Apply rule to point B

Given $B(4,7)$, using the rule $(x,-y)$, we have $B'(4,-7)$.

Step3: Apply rule to point C

Given $C(5,1)$, using the rule $(x,-y)$, we get $C'(5,-1)$.

Answer:

$A'(-4,-2)$
$B'(4,-7)$
$C'(5,-1)$