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3 years ago

50 POINTS! Reflect quadrilateral PQRS about the y-axis. Then translate the resulting quadrilateral 2 units down.

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

D.) P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)

Step-by-step explanation:

Reflection over the y-axis changes the sign of the x-coordinate:

(x, y) ⇒ (-x, y) . . . . . reflection over the y-axis

Translation 2 units down, subtracts 2 from the y-coordinate:

(x, y) ⇒ (x, y -2) . . . . . translation 2 units down

The combined transformation is ...

(x, y) ⇒ (-x, y -2) . . . . . reflection over y-axis and translation 2 down

For point P, the image coordinates are ...

P(-12, 8) ⇒ P'(-(-12), 8 -2) = P'(12, 6) . . . . matches choice D

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