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?
B(2, 3) and, C(−2, −3)
B(−2, −3) and C(2, 3)
B(2, −3) and C(−2, 3)
B(−2, 3) and C(2, −3)
across the y-axis: (x,y) → (-x,y)
across the x-axis: (x,y) → (x,-y)
so see what you can do with these.
nice work it really helped me thx
To determine the coordinates of point B after reflecting point A across the y-axis, we need to change the sign of the x-coordinate. Since point A has the coordinates (-2, -3), reflecting it across the y-axis will result in the x-coordinate becoming positive and the y-coordinate remaining the same. Therefore, the coordinates of point B are (2, -3).
To determine the coordinates of point C after reflecting point A across the x-axis, we need to change the sign of the y-coordinate. Since point A has the coordinates (-2, -3), reflecting it across the x-axis will result in the y-coordinate becoming positive and the x-coordinate remaining the same. Therefore, the coordinates of point C are (-2, 3).
So, the correct answer is B(2, -3) and C(-2, 3).
To reflect a point across the y-axis, we change the x-coordinate to its opposite value while keeping the y-coordinate the same.
So, reflecting point A(-2, -3) across the y-axis gives us point B(2, -3) since the x-coordinate -2 becomes 2 and the y-coordinate -3 remains the same.
To reflect a point across the x-axis, we change the y-coordinate to its opposite value while keeping the x-coordinate the same.
So, reflecting point A(-2, -3) across the x-axis gives us point C(-2, 3) since the y-coordinate -3 becomes 3 and the x-coordinate -2 remains the same.
Therefore, the correct coordinates of points B and C are B(2, -3) and C(-2, 3).