Question

card #10
triangle mno was reflected. fill in the missing coordinates on your recording sheet and determine the type of reflection that occurred.
$m(-5, -1) \to m(5, -1)$
$n(-7, -6) \to n(\\_\\_\\_,\\_\\_\\_)$
$o(-2, -5) \to o(\\_\\_\\_,\\_\\_\\_)$
a. reflected over y-axis
b. reflected over x-axis

Explanation:

Step1: Identify reflection rule

From $M(-5, -1) \to M'(5, -1)$, the $x$-coordinate flips sign, $y$-coordinate stays. Rule: $(x,y)\to(-x,y)$

Step2: Calculate N' coordinates

Apply rule to $N(-7, -6)$: $-(-7)=7$, $y=-6$.
$N'(7, -6)$

Step3: Calculate O' coordinates

Apply rule to $O(-2, -5)$: $-(-2)=2$, $y=-5$.
$O'(2, -5)$

Step4: Match reflection type

Rule $(x,y)\to(-x,y)$ is reflection over y-axis.

Answer:

$N'(7, -6)$, $O'(2, -5)$
A. Reflected over y-axis