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On a coordinate grid, point P is at (5, 2) and point R is at (−3, −4). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? (5 points) a Q(−5, 2), S(3, −4) b Q(−5, −2), S(3, 4) c Q(5, −2), S(−3, 4) d Q(−5, 2), S(−3, 4)

Sagot :

Answer:

The correct option is;

c. Q(5, -2), S(-3, 4)

Step-by-step explanation:

In a reflection of a preimage across the x-axis of a point with coordinates (x, y), the value and sign of the x-coordinate of the image does not change while the value of the y-coordinate of the image is the same as the value of the y-coordinate of the pre-image, but with opposite sign

Therefore, we have

The coordinate of the preimage before the reflection across the x-axis = (x, y)

The coordinate of the image after the reflection across the x-axis = (x, -y)

Therefore, for the preimage point P(5, 2) before the reflection, we have the coordinate of the image point as Q(5, -2)

Similarly, or the preimage point R(-3, -4) before the reflection, we have the coordinate of the image point as S(-3, 4).

The correct option is therefore, Q(5, -2), S(-3, 4).

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