Question

The pentagon PQRST is transformed into P'Q'R'S'T' using which two transformations?

reflection across the y-axis

translation 3 units to left and 3 units down

translation 2 units to right and 2 units up

reflection across the x-axis

Answer 1

B) translation 3 units to left and 3 units down

D) reflection across the x-axis

Explanation:

The pentagon PQRST is up with respect to point Q, and P'Q'R'S'T' is down with respect to point Q'.

So it is reflection about x-axis.

All points are translated 3 to the left and 3 units down.

Therefore, answer is

B) translation 3 units to left and 3 units down

and

D) reflection across the x-axis

Hope this will helpful.

Thank you.

Answer 2

The orientation has changed, so a reflection is involved. Point Q is at the top, but Q' is at the bottom, so it is a reflection across the x-axis. All points are translated 3 to the left, so that leaves the options as ...
translation 3 units to left and 3 units down
reflection across the x-axis

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The transformations were done in the order listed.