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). It is used to locate points using ordered pairs (x, y).

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: 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 find the distance between two points (x1, y1) and (x2, y2)?

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written as (x, y).

Front

What does the x-coordinate represent?

Back

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

Front

What does the y-coordinate represent?

Back

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

Front

What is the origin in a coordinate plane?

Back

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

Front

In which quadrant is the point (3, -4) located?

Back

Quadrant IV.

Front

What is the significance of the signs of coordinates in determining the quadrant?

Back

The signs of the coordinates (positive or negative) determine the quadrant: Quadrant I (++, +), Quadrant II (-, +), Quadrant III (-, -), Quadrant IV (+, -).

Front

How can you identify a rectangle using coordinates?

Back

A rectangle can be identified if opposite sides are equal and parallel, and the diagonals are equal.