Topic 2 Pretest Coordinate Plane

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 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

What is an ordered pair?

Back

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

Front

What is the origin in the coordinate plane?

Back

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

Front

How do you determine which quadrant a point is in?

Back

By looking at 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 is the distance formula for two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the distance between the points (3, 4) and (3, 1)?

Back

Distance = |4 - 1| = 3 units.

Front

How do you write an ordered pair for a point?

Back

An ordered pair is written as (x, y), where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

What does it mean if a point has a negative x-coordinate?

Back

It means the point is located to the left of the origin on the x-axis.

Front

What does it mean if a point has a negative y-coordinate?

Back

It means the point is located below the origin on the y-axis.