Coordinate Geometry Quiz

A coordinate plane is a two-dimensional grid system with horizontal (x-axis) and vertical (y-axis) lines intersecting at a specific point called the origin (0, 0).

Points on a coordinate plane are located by their x and y coordinates, written in the form (x, y). The x-coordinate represents its horizontal position, and the y-coordinate represents its vertical position.

Quadrants are the four sections of a coordinate plane divided by the x-axis and y-axis. They are numbered I, II, III, and IV, starting from the top right and moving counter-clockwise.

The origin (0, 0) is the point where the x-axis and y-axis intersect on a coordinate plane. It's like the center of the map.

Using coordinates on a map, you can precisely identify locations. Start at the origin and move along the axes based on the coordinates. For example, the point (2, 3) means move two units right (along the x-axis) and three units up (along the y-axis).

The horizontal line on a coordinate plane.

The vertical line on a coordinate plane.

A pair of numbers that describe the location of a point on a coordinate plane.

The numbers that are used to label the points on the axes of a coordinate plane.

A point on the coordinate plane where both the x-coordinate and the y-coordinate are integers.

Plot a point on a coordinate plane based on its coordinates.

A coordinate plane is a two-dimensional grid system formed by the horizontal x-axis and vertical y-axis intersecting at the origin, which is the point (0, 0).

The origin is the point where the x-axis and y-axis intersect on a coordinate plane. It's also represented by the coordinate (0, 0).

Coordinates are numbers enclosed in parentheses that represent a point's location on a coordinate plane. The first number represents the x-coordinate (horizontal position), and the second number represents the y-coordinate (vertical position). For example, (3, 2) means moving 3 units to the right and 2 units up.

A grid point is a point on a coordinate plane where both the x and y coordinates are integers. It's like a dot on a grid.

Points that are not grid points have coordinates that are not integers. They are located between the grid lines.

The origin (0, 0) is the point where the x-axis and y-axis intersect in a coordinate plane. It's like the starting point or the center of the grid.

The four sections of a coordinate plane, separated by the x-axis and y-axis, are called quadrants. Quadrant I is the upper-right section, Quadrant II is the upper-left, Quadrant III is the lower-left, and Quadrant IV is the lower-right.

To plot a point on a coordinate plane, we start at the origin and move right or left based on the x-coordinate, then up or down based on the y-coordinate. For example, point (2, 3) is located 2 units to the right and 3 units up from the origin.

The x-coordinate represents the horizontal position of a point on a coordinate plane. A positive x-coordinate means moving right, and a negative x-coordinate means moving left.

A coordinate plane is divided into four sections, numbered I, II, III, and IV, starting from the top right and moving counterclockwise.

Points in Quadrant I have positive x and y coordinates, meaning both numbers are greater than zero.

The x-axis and y-axis do not belong to any quadrant. They are the lines that divide the plane into quadrants.

Points in Quadrant II have a negative x-coordinate and a positive y-coordinate.

Points in Quadrant III have negative x and y coordinates, meaning both numbers are less than zero.

Points on the x-axis always have a y-coordinate of 0. Points on the y-axis always have an x-coordinate of 0.

To find a point that is 4 squares to the right of (3, 1), we add 4 to the x-coordinate, keeping the y-coordinate the same. So the new point would be (3+4, 1) or (7, 1).

To find a point that is 5 squares to the left of (3, 11), we subtract 5 from the x-coordinate, keeping the y-coordinate the same. So the new point would be (3-5, 11) or (-2, 11).

To find a point that is 3 squares below (11, 81), we subtract 3 from the y-coordinate, keeping the x-coordinate the same. So the new point would be (11, 81-3) or (11, 78).

To find a point that is 12 squares to the left and 73 squares up from (-15, -88), we subtract 12 from the x-coordinate and add 73 to the y-coordinate. So the new point would be (-15-12, -88+73) or (-27, -15).

A point with x-coordinate of 4 means it lies on a vertical line that crosses the x-axis at 4. A point with y-coordinate of 2 means it lies on a horizontal line that crosses the y-axis at 2.

Points with the same x-coordinate lie on the same vertical line. Points with the same y-coordinate lie on the same horizontal line.

The radius of a circle is the distance from the center of the circle to any point on the circle.

If the center of a circle is at point (4, 3), the radius must be greater than 4 units so that the circle extends beyond the y-axis and into all four quadrants.

If the center of a circle is at point (4, 3), the radius must be greater than 3 units so that the circle extends beyond the x-axis and into at least two quadrants.

If the center of a circle is at point (4, 3), the radius must be less than 3 units so that the circle stays within one quadrant.