Question

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the value of d

Answer 1

`c = -6`

`d = -1`

Explanation:

Given

See attachment for grid

Required

Find c and d

From the attachment, we have:

`a = (3,5)` --- Point on A

`a' = (-3,-6)` --- Corresponding point on B

When A is reflected across the x-axis, the rule is:

`(x,y) \to (x,-y)`

So, we have:

`(3,5) \to (3,-5)`

Next, is to calculate the translation from
`(3,-5)` to
`(-3,-6)`

This is calculated using:

`3 + c = -3`

and

`-5 + d = -6`

So, we have:

`3 + c = -3`

`c = -3-3`

---- i.e. Shift by 6 units to the left

`-5 + d = -6`

`d = 5 - 6`

`d = -1` --- i.e. Shift by 1 unit down