Answer:
J' is (-8, 12) and it is on the 2nd quadrant
Step-by-step explanation:
Let us revise the cases of reflection
- If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)
- If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)
Let us use these rules to solve the question
∵ The point J is (-8, -12) is reflected over the x-axis
∵ The x-coordinate and the y-coordinate are negative
∴ J is on the 3rd quadrant
→ By using the first rule above
∵ The rule of reflection is rx-axis (x, y) → (x, -y)
∴ The sign of y-coordinate of the point J must be opposite
∵ The y-coordinate of the point J = -12
∴ The y-coordinate of the point J' must be 12
∴ The coordinates of point J' are (-8, 12)
∵ The x coordinate is negative and the y-coordinate is positive
∴ J' is on the 2nd quadrant
