Question

Which rule describes the composition of transformations that maps triangle BCD to triangle B""C""D""?

Answer 1

(d)

Explanation:

Given

See attachment for
`\triangle BCD` and
`\triangle B`

Required

The transformations

Using B and B"" as points of reference, we have:

`B = (1,4)`

`B`

The transformation is as follows:

First, reflect across y axis.

The rule is:

`(x,y) \to (-x,y)`

So, we have:

`B(1,4) \to B'(-1,4)`

Next, translate 6 units right.

The rule is:

`(x,y) \to (x + 6,y)`

So, we have:

`B' (-1,4) \to B`

`B' (-1,4) \to B`

Lastly, translate 5 units down

The rule is:

`(x,y) \to (x,y-5)`

So, we have:

`B`

`B`

Hence; (d) is correct