Question

The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and across the x-axis to obtain point C. What are the coordinates of points B and C?

A) B(2, 3) and, C(−2, −3)
B) B(−2, −3) and C(2, 3)
C)B(2, −3) and C(−2, 3)
D) B(−2, 3) and C(2, −3)

Answer 1

B) B(2,-3) and C(-2,3)

Explanation:

The given point A, has coordinates (-2,-3).

When point A(-2,-3) is reflected over the y-axis to obtain point B, then the coordinates of B is obtained by negating the x-coordinate of A.

Therefore B will have coordinates (2,-3).

When point A(-2,-3) is reflected over the x-axis to obtain point C, then the coordinates of C is obtained by negating the y-coordinate of A.

Hence the coordinates of C are (-2,3)