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)
PLS HELP I NEED THE ANSWER FAST
To find the coordinates of the reflected points, you need to use the given coordinates of point A and perform the reflections.
Let's start with reflecting point A across the y-axis to obtain point B. When a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.
So, to find the x-coordinate of point B, you change the sign of the x-coordinate of point A. The x-coordinate of point A is -2, so the x-coordinate of point B becomes 2. The y-coordinate of point A is -3 and it remains the same for point B. Therefore, the coordinates of point B are (2, -3).
Now, let's reflect point A across the x-axis to obtain point C. When a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same.
To find the y-coordinate of point C, you change the sign of the y-coordinate of point A. The y-coordinate of point A is -3, so the y-coordinate of point C becomes 3. The x-coordinate of point A is -2 and it remains the same for point C. Therefore, the coordinates of point C are (-2, 3).
So, the correct coordinates for points B and C are B(2, -3) and C(-2, 3).
Therefore, the correct answer is B(-2, -3) and C(2, 3).