Question

figure t is the result of a transformation on figure s. which transformation would accomplish this? answer a translation 8 units to the left and 2 units up a rotation 180° clockwise about the origin a reflection over the x - axis a reflection over the y - axis

Explanation:

Step1: Analyze translation

Translation changes position without rotation or reflection. Comparing Figure S and T, it's not just a translation as orientation has changed.

Step2: Analyze rotation

A 180 - degree clock - wise rotation about the origin changes the sign of both x and y coordinates of each point. By observing key points of Figure S and T, we can see that this is consistent with a 180 - degree clockwise rotation about the origin.

Step3: Analyze x - axis reflection

Reflection over the x - axis changes the sign of the y - coordinate only, which is not the case here.

Step4: Analyze y - axis reflection

Reflection over the y - axis changes the sign of the x - coordinate only, which is not the case here.

Answer:

A rotation 180° clockwise about the origin