Mila graphs the point A (5, 0) on a coordinate plane. Which of the following statements are true? Select all that apply.
Point a is 5 units to the right of the origin and up 1 unit
The x-coordinate of point a is 5
The y-coordinate of point a is 5
Point a is on the y-axis
Point a is on the x-axis
None of the statements are true.
- Point A is not 5 units to the right of the origin and up 1 unit. It is 5 units to the right of the origin and on the x-axis, since its y-coordinate is 0.
- The x-coordinate of point A is 5, but the y-coordinate is 0, not 5.
- Point A is not on the y-axis, but on the x-axis. It has a y-coordinate of 0.
- Point A is on the x-axis, but not the y-axis. The y-coordinate is 0, not 5.
Answers D and E are separate, same with answers B and C
Thank you for pointing out the discrepancies. Allow me to correct myself.
The correct statements are:
- The x-coordinate of point A is 5.
- Point A is on the x-axis.
Explanation:
- The x-coordinate of point A is given in the coordinates (5, 0), where the first value represents the x-coordinate. Therefore, the x-coordinate of point A is 5.
- Point A is on the x-axis because its y-coordinate is 0. The x-axis is the horizontal line where the y-coordinate is always 0.
To determine which statements are true, let's break down the given information:
The point A is (5, 0), where 5 represents the x-coordinate and 0 represents the y-coordinate.
1. Point A is 5 units to the right of the origin and up 1 unit: This statement is not true because the y-coordinate is 0, which means the point is on the x-axis and not up.
2. The x-coordinate of point A is 5: This statement is true — the x-coordinate of point A is indeed 5.
3. The y-coordinate of point A is 5: This statement is not true. The y-coordinate of point A is 0, not 5.
4. Point A is on the y-axis: This statement is not true since the y-coordinate of point A is 0, meaning it lies on the x-axis.
5. Point A is on the x-axis: This statement is true. Point A lies on the x-axis because its y-coordinate is 0.
Based on the analysis, the following statements are true:
- The x-coordinate of point A is 5
- Point A is on the x-axis
Therefore, the correct statements are:
- The x-coordinate of point A is 5
- Point A is on the x-axis