GMAS The 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

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate to get (x, -y).

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

What is the distance between two points on the same vertical line?

Back

The distance is the absolute difference between their y-coordinates.

Front

What is the distance between two points on the same horizontal line?

Back

The distance is the absolute difference between their x-coordinates.

Front

What does it mean for points to form a vertical line segment?

Back

It means the x-coordinates of the points are the same, and the y-coordinates are different.

Front

What does it mean for points to form a horizontal line segment?

Back

It means the y-coordinates of the points are the same, and the x-coordinates are different.

Front

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

Back

Quadrant IV, where x is positive and y is negative.