Consider the points (3, 4) and (3, −4). When the two points are compared, which statement is NOT TRUE? 50 Points please help!!!!!
A) Both points are 4 units away from the x-axis.
B) One point is 4 units above the x-axis.
C) One point is 4 units below the x-axis.
D) The x-coordinates are opposite numbers.
Answer D
( 3 , 4 )
mean x- coordinate = 3 , y - coordinate = 4
( 3 , − 4 )
mean x- coordinate = 3 , y - coordinate = - 4
x - coordinates are the same number x = 3
i think b
To compare the given points (3, 4) and (3, -4), let's analyze each statement:
A) Both points are 4 units away from the x-axis.
To determine the distance from the x-axis for each point, we look at the y-coordinate. For (3, 4), the y-coordinate is 4, so the point is indeed 4 units away from the x-axis. For (3, -4), the y-coordinate is -4, so this point is also 4 units away from the x-axis. Thus, statement A is TRUE.
B) One point is 4 units above the x-axis.
For (3, 4), the y-coordinate is 4, which means it is 4 units above the x-axis. For (3, -4), the y-coordinate is -4, which means it is 4 units below the x-axis rather than above. Thus, statement B is NOT TRUE.
C) One point is 4 units below the x-axis.
As mentioned before, for (3, -4), the y-coordinate is -4, indicating that it is indeed 4 units below the x-axis. Therefore, statement C is TRUE.
D) The x-coordinates are opposite numbers.
To compare the x-coordinates of the two points, we see that both points have an x-coordinate of 3. Opposite numbers have the same magnitude but differ in sign (positive versus negative). Since both x-coordinates are positive, they are not opposite numbers. Thus, statement D is NOT TRUE.
In conclusion, the statement that is NOT TRUE is B) One point is 4 units above the x-axis.