Question

Which of the following sequences of transformations is used to obtain firgure A'B'C'D from ABCD?A) Reflection about the x-axis followed by a translation right by 2 unitsB) Reflection about the y-axis followed by a translation left by 2 unitsC) Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 unitsD) Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

Answer 1

Given data:

The given figure is shown.

The given coordinate of B is (3, 4) and the coordinate of B'(-5, 4).

It can be understand take first reflection about y-axis, then move 2 units left.

$\begin{gathered} B^{\prime}=(-3-2,\text{ 4)} \\ =(-5,\text{ 4)} \end{gathered}$

Thus, the option (B) is correct.