Question

find the coordinates of the vertices of each figure after the given transformation. 9) reflection across the y - axis ( s(1,-3), r(-2,1), q(0,1), t(3,-2) ) 10) reflection across the x - axis ( k(-5,3), l(-1,4), m(-3,1) )

Explanation:

Step1: Recall reflection rule across y - axis

When reflecting a point $(x,y)$ across the y - axis, the transformation is $(x,y)\to(-x,y)$.
For point $S(1, - 3)$:
$S(1,-3)\to S'(-1,-3)$
For point $R(-2,1)$:
$R(-2,1)\to R'(2,1)$
For point $Q(0,1)$:
$Q(0,1)\to Q'(0,1)$
For point $P(3,-2)$:
$P(3,-2)\to P'(-3,-2)$

Step2: Recall reflection rule across x - axis

When reflecting a point $(x,y)$ across the x - axis, the transformation is $(x,y)\to(x,-y)$.
For point $K(-5,3)$:
$K(-5,3)\to K'(-5,-3)$
For point $L(-1,4)$:
$L(-1,4)\to L'(-1,-4)$
For point $M(-3,1)$:
$M(-3,1)\to M'(-3,-1)$

Answer:

1. $S'(-1,-3),R'(2,1),Q'(0,1),P'(-3,-2)$
2. $K'(-5,-3),L'(-1,-4),M'(-3,-1)$