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

Answer:

$c = -6$

$d = -1$

Step-by-step 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