Question

1. reflection across the y - axis

x(1, 0), k(4, 1), t(5, - 3)
x ( ) k ( ) t ( )

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the y - axis is $(-x,y)$.

Step2: Apply rule to point X

For point $X(1,0)$, using the rule $(-x,y)$, we get $X'(- 1,0)$.

Step3: Apply rule to point K

For point $K(4,1)$, using the rule $(-x,y)$, we get $K'(-4,1)$.

Step4: Apply rule to point T

For point $T(5,-3)$, using the rule $(-x,y)$, we get $T'(-5,-3)$.

Answer:

$X'(-1,0)$, $K'(-4,1)$, $T'(-5,-3)$