Question

Tamera graphs the following points on a coordinate plane.

P(3, –4) Q(–7, 2) R(5, 3) S(6, –1)

Which statement is correct?

A )reflection of P across the x-axis is at (3, 4).

B )reflection of Q across the y-axis is at (7, –2).

C )reflection of R across the x-axis is at (–5, 3).

D) reflection of S across the y-axis is at (6, 1).

Answer 1

A) reflection of P across the x-axis is at (3, 4).

Explanation:

The relevant transformations are ...

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

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

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A) sign of y-coordinate has changed: reflection across the x-axis

B) signs of both coordinates have changed: reflection across both axes

C) sign of x-coordinate has changed: reflection across the y-axis

D) sign of y-coordinate has changed: reflection across the x-axis

The only answer choice that has a proper description is Choice A.