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 1

complete the coordinates Numbers may be used once, more than once, or not at all

Answer 1

`A`

Explanation:

Given [Missing]

`A = (-3,4)`

`B = (1,3)`

`C =(3,6)`

`D =(1,6)`

The first transformation: reflection across the y-axis.

The rule is:
`(x,y)==>(-x,y)`

So:

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

`B = (1,3)` ==>
`B' = (-1,3)`

`C =(3,6)` ==>
`C' = (-3.6)`

`D =(1,6)` ==>
`D' = (-1,6)`

Translation 2 units down

The rule is:
`(x,y)==>(x,y-2)`

So:

`A' = (3,4)` ==>
`A`

`B' = (-1,3)` ==>
`B`

`C' = (-3.6)` ==>
`C`

`D' = (-1,6)` ==>
`D`

Hence:

`A`