Question

skills: reflections of two - dimensional figures with coordinates : 20 points

type the answers in the spaces provided. use numbers instead of words.

triangle lmn has vertices at l(4,1), m( - 2,3), and n( - 3,4).
what are the coordinates of the image lmn after a reflection across the x - axis?
answer
l ( ) ( )
m ( ) ( )
n ( ) ( )

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of $L'$

For $L(4,1)$, applying the rule: $x = 4,y = 1$, so $L'(4,-1)$.

Step3: Find coordinates of $M'$

For $M(-2,3)$, applying the rule: $x=-2,y = 3$, so $M'(-2,-3)$.

Step4: Find coordinates of $N'$

For $N(-3,4)$, applying the rule: $x=-3,y = 4$, so $N'(-3,-4)$.

Answer:

$L'(4,-1)$
$M'(-2,-3)$
$N'(-3,-4)$