Coordinate Plane Review

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 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 reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

Front

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

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).

Front

What are the coordinates of the origin?

Back

The coordinates of the origin are (0, 0).

Front

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

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The midpoint formula is M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

The point (3, -4) is located in Quadrant IV.

Front

What does it mean for a point to be in Quadrant II?

Back

A point in Quadrant II has a negative x-coordinate and a positive y-coordinate.

Front

If point A is at (2, 3), what are the coordinates of A after reflecting over the x-axis?

Back

The coordinates of A after reflecting over the x-axis are (2, -3).