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 axes in a coordinate plane?

Back

The axes are the two perpendicular lines that define the coordinate plane: the x-axis (horizontal) and the y-axis (vertical).

Front

What does the ordered pair (x, y) represent?

Back

The ordered pair (x, y) represents the position of a point on the coordinate plane, where 'x' is the horizontal distance from the origin and 'y' is the vertical distance from the origin.

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the ordered pair (0, 0).

Front

How do you identify the quadrant of a point?

Back

The coordinate plane is divided into four quadrants. Quadrant I has positive x and y values, Quadrant II has negative x and positive y values, Quadrant III has negative x and y values, and Quadrant IV has positive x and negative y values.

Front

What is the distance from the origin to the point (3, 4)?

Back

The distance can be calculated using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is the significance of negative coordinates?

Back

Negative coordinates indicate positions that are to the left of the origin on the x-axis or below the origin on the y-axis.

Front

How do you plot the point (2, -3) on the coordinate plane?

Back

Start at the origin (0, 0), move 2 units to the right (positive x-direction), and then move 3 units down (negative y-direction) to plot the point.

Front

What is the formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

The midpoint formula is: ((x1 + x2)/2, (y1 + y2)/2).

Front

What does it mean for two points to be collinear?

Back

Two points are collinear if they lie on the same straight line.