Question

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

Answer 1

Answer:

$C" = (4,3)$

Step-by-step 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:

$C' = (4,-3)$

$C" = (4,3)$