Answer:
The coordinates of point P are (1, -1)
Step-by-step explanation:
- If the point (x, y) reflected about the x-axis, then its image is (x, -y)
- To find the image of a point reflected about the x-axis change the sign of its y-coordinate
- The rule is R x-axis → (x, -y)
- If the point (x, y) reflected about the y-axis, then its image is (-x, y)
- To find the image of a point reflected about the y-axis change the sign of its x-coordinate
- The rule is R y-axis → (-x, y)
→ Assume that the coordinates of point P are (x, y)
∵ The coordinates of point P are (x, y)
∵ The rule of the reflection is R y-axis (P)
∴ Its image = (-x, y)
∵ The image = (-1, -1)
→ Equate the two images
∴ (-x, y) = (-1, -1)
∴ -x = -1
→ Divide both sides by -1
∴ x = 1
∵ y = -1
∴ The coordinates of point P are (1, -1)
