Question

the coordinates of the vertices of a quadrilateral are j(5,3), k(5,2), l(3,3), and m(3,6). quadrilateral jklm is reflected across the x - axis to create quadrilateral jklm. what are the coordinates of the vertices of quadrilateral jklm? j = k =

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 J'

For point J(5,3), applying the rule: $(5,3)\to(5,-3)$. So J'=(5, - 3).

Step3: Find coordinates of K'

For point K(5,2), applying the rule: $(5,2)\to(5,-2)$. So K'=(5, - 2).

Step4: Find coordinates of L'

For point L(3,3), applying the rule: $(3,3)\to(3,-3)$. So L'=(3, - 3).

Step5: Find coordinates of M'

For point M(3,6), applying the rule: $(3,6)\to(3,-6)$. So M'=(3, - 6).

Answer:

J'=(5, - 3), K'=(5, - 2), L'=(3, - 3), M'=(3, - 6)