Coordinate Plane & Distance

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 (x, y).

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to locate points on a coordinate plane, written in the form (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

How do you find the distance between two points on a coordinate plane?

Back

To find the distance between two points (x1, y1) and (x2, y2), use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance formula?

Back

The distance formula is: Distance = √((x2 - x1)² + (y2 - y1)²). It calculates the straight-line distance between two points in a coordinate plane.

Front

If point A is (2, 3) and point B is (5, 7), what is the distance between them?

Back

The distance is 5 units, calculated using the distance formula.

Front

What does the x-axis represent in a coordinate plane?

Back

The x-axis represents the horizontal line in a coordinate plane, where the y-coordinate is zero.

Front

What does the y-axis represent in a coordinate plane?

Back

The y-axis represents the vertical line in a coordinate plane, where the x-coordinate is zero.

Front

What is the origin in a coordinate plane?

Back

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

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 identify the coordinates of a point on a coordinate plane?

Back

To identify the coordinates of a point, find its horizontal position (x) and vertical position (y) relative to the axes.