Question

Q А A of sc S 12 10 6 4 2. - 20-18-16-14-12-10 -8 6 4-2 -2 2 4 CO 8 10 12 14 16 18 20 R 26 S -8. -10 – 12 Quadrilateral PORS is transformed by translating it 6 units to the right and then rotating it 90° clockwise about the origin. Which coordinate pairs represent vertices of P'O'R'S' after these two transformations?

Answer 1

The pairs that represent vertices from these options are:

• (-7, -3)

• (7, -3)

,

• (12, -10)

Step-by-step explanation

The rule for the translation 6 units right is:

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

So after the translation the vertices are:

`\begin{gathered} P(-3,7)\rightarrow(3,7) \\ Q(4,12)\rightarrow(10,12) \\ R(4,-2)\rightarrow(10,-2) \\ S(-3,-7)\rightarrow(3,-7) \end{gathered}`

Then, the rule for a 90º clockwise rotation about the origin is:

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

So, after the rotation, the vertices are:

`\begin{gathered} (3,7)\rightarrow P^(\prime)(7,-3) \\ (10,12)\rightarrow Q^(\prime)(12,-10) \\ (10,-2)\rightarrow R^(\prime)(-2,-10) \\ (3,-7)\rightarrow S^(\prime)(-7,-3) \end{gathered}`