Question

Reflect quadrilateral CJKM across the y-axis. Find the location of K'.

Answer 1

`K(1,4)\rightarrow K^(\prime)(-1,4)`

Step-by-step explanation

Step 1

find the coordinate of every point of the quadrilateral

C(-3,1)

J(0,1)

K(1,4)

M(4,-2)

Step 2

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

so

`(x,y)\rightarrow reflect\text{ across y -Ax is}\rightarrow(-x,y)`

therefore

`\begin{gathered} C\mleft(-3,1\mright)\rightarrow C^(\prime)(3,1) \\ J\mleft(0,1\mright)\rightarrow J^(\prime)(0,1) \\ K\mleft(1,4\mright)\rightarrow K^(\prime)(-1,4) \\ M(4,-2)\rightarrow M^(\prime)(-4,-2) \end{gathered}`

so, the answer is

`K^(\prime)(-1,4)`

i hope this helps you