Question

The question asks select all the sequences of transformations that could take figure P to figure Q

The answer choices are
a single reflection
a single rotation
a single translation
a translation then a reflection
a reflection then a different reflection
ps you can choose more than one so chose all the ones thanks​

Answer 1

A reflection then a different reflection.

Explanation:

Figure Q is the result of applying two distinct and consecutive operations on Figure P: (i) x-Axis Reflection, (ii) y-Reflection. Now we explained what each operation consists in.

x-Axis Reflection:

`(x, y) \longrightarrow (x, -y)`,
`\forall\,(x,y) \in \mathbb{R}^(2)`

y-Axis Reflection:

`(x, y) \longrightarrow (-x, y)`,
`\forall \,(x,y)\in \mathbb{R}^(2)`

Hence, the correct answer is "a reflection then a different reflection".