Coordinate Plane Review 2024

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs.

Front

What are ordered pairs?

Back

A pair of numbers (x, y) that represent the position of a point on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

What are the four quadrants of the coordinate plane?

Back

Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

How do you identify the quadrant of an ordered pair?

Back

By checking the signs of the x and y coordinates: both positive in Quadrant I, x negative and y positive in Quadrant II, both negative in Quadrant III, and x positive and y negative in Quadrant IV.

Front

What does the point (0, 0) represent?

Back

The origin, which is the point where the x-axis and y-axis intersect.

Front

How do you plot the point (3, 4) on the coordinate plane?

Back

Start at the origin (0, 0), move 3 units to the right (positive x-direction), and then move 4 units up (positive y-direction).

Front

What is the distance between the points (2, 3) and (5, 7)?

Back

The distance is calculated using the distance formula: √((x2 - x1)² + (y2 - y1)²) = √((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5.

Front

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

Back

The midpoint is calculated as ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 4)/2, (3 + 7)/2) = (3, 5).

Front

How do you move from one point to another on the coordinate plane?

Back

Identify the change in x (horizontal movement) and the change in y (vertical movement) to determine the direction and distance to move.

Front

What is the significance of the x-axis and y-axis?

Back

The x-axis is the horizontal line on the coordinate plane, while the y-axis is the vertical line; together they define the coordinate system.