Practice30Create account

The point A(3, 7) is reflected in the -axis, and that image is then reflected in the -axis. What are the coordinates of the final image?

Class 9Coordinate GeometryCoordinate Geometry
  • A(3, −7)
  • B(−3, 7)
  • C(7, 3)
  • D(−3, −7)

Step-by-Step Solution

Reflecting (3, 7) in the -axis gives (3, −7). Reflecting that in the -axis reverses the abscissa and gives (−3, −7), which is the same as reflecting the original point in the origin.
Answer: D) (−3, −7)

Key idea: Special points

- **Origin**: (0, 0).
- **On -axis**: , so the form is (a, 0). Examples: (3, 0), (−5, 0).
- **On -axis**: , so the form is (0, b). Examples: (0, 7), (0, −2).
- **First-quadrant point**: both positive.
- **Third-quadrant point**: both negative.

Knowing which axis or quadrant a point belongs to is a quick check that you've plotted it correctly.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Coordinate Geometry practice questions

More Class 9 Coordinate Geometry practice

Amit says the points (−5, 2) and (−5, −2) are mirror images of each other in the y-axis.…The points P(−4, 3) and Q(5, 3) are joined. How long is the segment PQ, in units?In a seating chart the column number is measured along the x-axis and the row number…Which of these points is farthest from the x-axis?Sameer claims that (−6, 1) is nearer to the y-axis than (−1, 8), because −6 is smaller…