Distance and Coordinate Plane Review

Front

What is the coordinate plane?

Back

A two-dimensional surface where points are defined by pairs of numbers (x, y), representing horizontal and vertical positions.

Front

What are the four quadrants of the coordinate plane?

Back

Quadrant I: (+, +), Quadrant II: (-, +), Quadrant III: (-, -), Quadrant IV: (+, -).

Front

In which quadrant is point (5, -3) located?

Back

Quadrant IV.

Front

In which quadrant is point (-4, 2) located?

Back

Quadrant II.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

Calculate the distance between points (3, 4) and (3, 0).

Back

Distance = 4 units.

Front

What is the significance of the origin in the coordinate plane?

Back

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

Front

What does it mean for two points to be equidistant from the origin?

Back

They are the same distance from the origin, meaning their distance values are equal.

Front

If point A is at (2, 3) and point B is at (2, -1), what is the distance between them?

Back

Distance = 4 units.

Front

What is the x-coordinate of a point in Quadrant III?

Back

Negative.