Answer :
To solve this problem, we need to reflect the given triangle PQR across the y-axis. The vertices of triangle PQR are P(-2, -4), Q(-3, -1), and R(-4, 4).
When reflecting a point across the y-axis, the x-coordinate changes its sign, while the y-coordinate remains the same. Let’s apply this rule to each vertex of the triangle:
1. For point P(-2, -4):
- The x-coordinate is -2, and after reflection, it becomes 2 (change the sign).
- The y-coordinate remains -4.
- Thus, P' is (2, -4).
2. For point Q(-3, -1):
- The x-coordinate is -3, and after reflection, it becomes 3 (change the sign).
- The y-coordinate remains -1.
- Thus, Q' is (3, -1).
3. For point R(-4, 4):
- The x-coordinate is -4, and after reflection, it becomes 4 (change the sign).
- The y-coordinate remains 4.
- Thus, R' is (4, 4).
So, the coordinates of the reflected triangle P'Q'R' are P'(2, -4), Q'(3, -1), and R'(4, 4).
Therefore, the correct answer is:
O B. P(2,-4), Q'(3,-1), R'(4, 4)
When reflecting a point across the y-axis, the x-coordinate changes its sign, while the y-coordinate remains the same. Let’s apply this rule to each vertex of the triangle:
1. For point P(-2, -4):
- The x-coordinate is -2, and after reflection, it becomes 2 (change the sign).
- The y-coordinate remains -4.
- Thus, P' is (2, -4).
2. For point Q(-3, -1):
- The x-coordinate is -3, and after reflection, it becomes 3 (change the sign).
- The y-coordinate remains -1.
- Thus, Q' is (3, -1).
3. For point R(-4, 4):
- The x-coordinate is -4, and after reflection, it becomes 4 (change the sign).
- The y-coordinate remains 4.
- Thus, R' is (4, 4).
So, the coordinates of the reflected triangle P'Q'R' are P'(2, -4), Q'(3, -1), and R'(4, 4).
Therefore, the correct answer is:
O B. P(2,-4), Q'(3,-1), R'(4, 4)
