Coordinate Plane

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair of numbers (x, y).

Front

What are the coordinates of the origin in the coordinate plane?

Back

The coordinates of the origin are (0, 0).

Front

What does the x-coordinate represent in a point (x, y)?

Back

The x-coordinate represents the horizontal position of the point on the coordinate plane.

Front

What does the y-coordinate represent in a point (x, y)?

Back

The y-coordinate represents the vertical position of the point on the coordinate plane.

Front

How do you identify the quadrant of a point (x, y)?

Back

A point (x, y) is in Quadrant I if x > 0 and y > 0, Quadrant II if x < 0 and y > 0, Quadrant III if x < 0 and y < 0, and Quadrant IV if x > 0 and y < 0.

Front

What is the distance between the points (3, 4) and (3, -2)?

Back

The distance is 6 units, calculated as |4 - (-2)| = 6.

Front

What is the midpoint of the segment connecting the points (2, 3) and (4, 7)?

Back

The midpoint is (3, 5), calculated as ((2+4)/2, (3+7)/2).

Front

If a point is located at (0, -5), which axis does it lie on?

Back

The point lies on the y-axis.

Front

What are the coordinates of Point A if it is located 3 units to the right and 2 units up from the origin?

Back

The coordinates of Point A are (3, 2).

Front

What is the formula to find the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).