Question

Which of the following statements about points A and B is true?

• A. The x-coordinate of point A is equal to the y-coordinate of point B
• B. The y-coordinate of point A is equal to the y-coordinate of point B.
• C. The coordinates of points A and B are equal.
• D. The coordinates of point B are (0, 6).

Answer 1

The correct option is C The coordinates of points A and B are equal.

Let's find the coordinates of point A.
Step 1: Start at the origin.

Step 2: Keep moving to the right until you are right under point A. Now, you are 5 units away from the origin on the positive x-axis.
Therefore, x-coordinate of point A = 5


Step 3: Point A is on the x-axis. The y-coordinate for a point lying on the x-axis is zero.
Therefore, y-coordinate of point A = 0

We write coordinates of a point in parentheses, where the first value is the x-coordinate and the second value is the y-coordinate.

Therefore, coordinates of point A = (5,0)

Similarly, coordinates of point B = (0,5)


Clearly, the coordinates of points A and B are not equal, i.e., $5.0)\ne (0,5)$.
Also, x-coordinate of point A = y-coordinate of point B = 5
Hence, option b is correct.