Question

rotation of 90° clockwise about the origin
translation 9 units right and 2 units down
reflection in the y - axis, followed by a translation 2 units down
reflection in the x - axis, followed by a reflection in the y - axis

Explanation:

Step1: Recall rotation rule

A $90^{\circ}$ clock - wise rotation about the origin has the rule $(x,y)\to(y, - x)$. The shapes do not match this transformation.

Step2: Analyze translation

For a translation 9 units right and 2 units down, the rule is $(x,y)\to(x + 9,y - 2)$. The shapes do not match this transformation.

Step3: Check reflection - translation

For a reflection in the $y$ - axis, the rule is $(x,y)\to(-x,y)$, and then a translation 2 units down $( - x,y)\to(-x,y - 2)$. The shapes do not match this transformation.

Step4: Check double - reflection

For a reflection in the $x$ - axis, the rule is $(x,y)\to(x,-y)$, and then a reflection in the $y$ - axis $(x,-y)\to(-x,-y)$. The shapes do not match this transformation.

Answer:

No, No, No, No, No