Coordinate Plane Test Review

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).

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 the x-axis?

Back

The horizontal line on the coordinate plane where y = 0.

Front

What is the y-axis?

Back

The vertical line on the coordinate plane where x = 0.

Front

How do you identify the quadrant of a point (x, y)?

Back

Determine the signs of x and y: 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 reflection of a point (x, y) about the x-axis?

Back

The reflection is (x, -y).

Front

What is the reflection of a point (x, y) about the y-axis?

Back

The reflection is (-x, y).

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What are the coordinates of the origin?

Back

The origin is at (0, 0).