Question 35

The coordinates of A' will be (1, 2).

When reflecting a point across the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Therefore, if point A has coordinates (1, 2), then after reflection, the coordinates of A' will be (1, 2).

A) (1, 2)

This option is correct because reflecting the point A with coordinates (1, 2) across the x-axis results in A' having the same x-coordinate and a y-coordinate of 2, which remains unchanged during the reflection.

B) (1, 4)

This option is incorrect because the y-coordinate of point A is 2. Reflecting across the x-axis does not alter the x-coordinate but changes the y-coordinate to its opposite. Therefore, A' cannot have a y-coordinate of 4.

C) (2, 1)

This option is incorrect as well. The coordinates of point A are (1, 2), and upon reflection, the x-coordinate should remain 1, not change to 2. Thus, this option does not represent the correct reflection.

D) (2, 4)

This option is also incorrect. Similar to option C, the x-coordinate should remain 1 after the reflection, while the y-coordinate should be 2, not 4. Hence, this choice does not reflect the correct transformation.

Conclusion

The correct answer is (1, 2) because it accurately reflects the transformation of point A across the x-axis, maintaining the x-coordinate and correctly applying the reflection to the y-coordinate. All other options fail to maintain either the correct x-coordinate or the correct transformation of the y-coordinate.