Question

What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )

Answer 1

`A`
`B`

`C`
`D`

Explanation:

Given

`A = (1,1)`
`B =(2,3)`

`C = (4,3)`
`D = (5,1)`

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

`(x,y)=>(-x,y)`

So:

`A = (1,1)`
`=> A' = (-1,1)`

`B =(2,3)`
`=> B' = (-2,3)`

`C = (4,3)`
`=> C' = (-4,3)`

`D = (5,1)`
`=> D' = (-5,1)`

When a point is translated 2 units down, the rule is:

`(x,y) => (x,y-2)`

So:

`A = (1,1)`
`=> A' = (-1,1)`
`=> A`

`B =(2,3)`
`=> B' = (-2,3)`
`=> B`

`C = (4,3)`
`=> C' = (-4,3)`
`=> C`

`D = (5,1)`
`=> D' = (-5,1)`
`=> D`

So, the new coordinates are:

`A`
`B`

`C`
`D`