Question

Fill in the blanks to help you understand the coordinates of points that lie on an axis.

• For points that lie on an axis, at least one coordinate must be ________.
• For points that are on the x-axis, the y-coordinate must be ________, because you do not move up or down.
• For points that are on the y-axis, the x-coordinate must be ________, because you do not move left or right.
• The ________ is the only point that lies on both axes. Its coordinates are ________.

a) 0; 0; 0; origin; (0,0)
b) 1; 1; 1; intersection; (1,1)
c) -1; 0; 0; center; (0,-1)
d) 2; 2; -2; midpoint; (-2,2)

Answer 1

In a Cartesian coordinate system, the coordinates of a point on the x-axis will have a y-coordinate of 0 and vice versa for a point on the y-axis. The origin is the intersection of these axes and has coordinates (0,0).

Step-by-step explanation:

To understand the coordinates of points that lie on an axis in a Cartesian coordinate system, consider the following:

• For points that lie on an axis, at least one coordinate must be 0.
• For points that are on the x-axis, the y-coordinate must be 0, because you do not move up or down.
• For points that are on the y-axis, the x-coordinate must be 0, because you do not move left or right.
• The origin is the only point that lies on both axes. Its coordinates are (0,0).

Therefore, the correct answer is a) 0; 0; 0; origin; (0,0).