Question

5. Point C (3, -4) is reflected on the line y = -x, then reflected again on the X axis.

the reflection composition of point C is ....

a. C "(4, 3)

b. C '(4, -3)

C.

C "(- 4, 3)

d. C "(- 4, -3)​

Answer 1

`C`

Explanation:

Given

`C = (3,-4)`

Transformation 1: y = -x reflection

Transformation 2: x axis reflection

Required

The new coordinates of C

`C = (3,-4)`

Transformation 1: y = -x reflection

This gives: (-y,-x)

So:

`C = (3,-4)`

`C' = (4,-3)`

`C' = (4,-3)`

Transformation 2: x axis reflection

This gives: (x,-y)

So:

`C' = (4,-3)`

`C`