Question

Consider the points (3, 4) and (−3, 4). When the two points are compared, which statement is NOT TRUE? A) Both points are 3 units away from the y-axis. B) One point is 3 units to the right of the y-axis. C) One point is 3 units to the left of the y-axis. D) The y-coordinates are opposite numbers.

Answer 1

Option D) The y-coordinates are opposite numbers is correct

The above statement is not true when we comparing the given points (3, 4) and (−3, 4).

Explanation:

Given points are (3, 4) and (−3, 4).

The point (3,4) is located 3 units to the right x axis(positive) and upwards right to the y axis 4 units.

The point (-3,4) is located 3 units to the left x axis(negative) and upwards left to the y axis 4 units.

This shows that both points are 3 units away from the y-axis. This means their y-coordinates are equal not their x coordinates.

Hence the options A) ,B) and C) are all true with the given statement

Option D) The y-coordinates are opposite numbers is correct

The above statement is not true when we comparing the given points (3, 4) and (−3, 4).