Question

Can someone answer this please

Answer 1

The coordinates of point P are (1, -1)

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)