Question

2. A triangular pyramid begins with these coordinates:

P(–1, 2, 0)
Y(2, 3, 0)
R(–3, 4, 0)
A(–2, 1, 5)
The pyramid is then reflected over the yz-plane. The reflected image is then translated using the following rule: (x, y, z)  (x + 2, y + 4, z – 3). Determine the coordinates of that final image, following these steps:

'Write the general rule you use for the reflection.'

'What would be the new points of the shape after this reflection?'

'Now, use the points from number 2 and apply the translation rule. Show the results of your calculations for that translation.'

Answer 1

The rule for the reflection is (x,y,z) → (-x,y,z) so P' = (1, 2, 0) for example.
Then the rule is (x,y,z) → (x + 2, y + 4, z - 3) so P'' = (3, 6, -3)