Question

Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T⟨3, 0⟩ ∘ Rm. What are the coordinates of ΔA″B″C″?

Answer 1

`A`
`B`
`C`

Step-by-step explanation:

Given

See attachment for graph

`A' = (-4, -5)`

`B'=(-5, -2)`

`C' = (-2, -1)`

First, reflect over
`y =-4`

The rule is:
`(x,y) ==> (x,y+h)`

Where
`h =-4`

So:

`A' = (-4, -5)`
`==>`
`A'' = (-4, 1-4) = (-4, -3)\\`

`B'=(-5, -2)`
`==>`
`B'' = (-5, -2-4) = (-5, -6)`

`C' = (-2, -1)`
`==>`
`C'' = (-2, -3-4) = (-2, -7)`

So, we have:

`A`
`B`
`C`

Next translate A''B''C'' by T(3, 0), we have;

The rule is:
`(x,y)==>(x+3,y+0)`

`A`
`==>`
`A`

`B`
`==>`
`B`

`C`
`==>`
`C`

Hence, A''B''C'' are:

`A`
`B`
`C`