Answer:
<u>option D</u>
Step-by-step explanation:
It is required to transform triangle A into similar triangle A' in Quadrant IV.
The given triangle in Quadrant II.
We will check the options:
A. Rotate triangle A 90 clockwise about the origin then translate five units up.
Wrong because triangle A' will be at Quadrant I.
B. Dilate triangle A by a scale factor of 4. Translate triangle A to the left.
Wrong because triangle A' will be at Quadrant II.
C. Reflect triangle A across the y-axis and then translate the triangle 3 units up and 2 units to the right.
Wrong because triangle A' will be at Quadrant I.
D. Reflect triangle A across the x-axis and then reflect the triangle across the y-axis.
True Because reflection triangle A across the x-axis, the first image will be at Quadrant III, then reflection the first image across the y-axis, we will get triangle A' will be at Quadrant IV.
<u>So, the answer is option D</u>
