Coordinate Plane

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). It is used to locate points using ordered pairs (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 identify the coordinates of a point?

Back

The coordinates of a point are identified as an ordered pair (x, y), where 'x' represents the horizontal position and 'y' represents the vertical position on the coordinate plane.

Front

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

Back

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

Front

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

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate. The reflected point is (x, -y).

Front

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

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect. It serves as the reference point for all other points on the coordinate plane.

Front

What are the coordinates of the point located at 2 units right and 3 units up from the origin?

Back

The coordinates are (2, 3).

Front

How do you determine the quadrant of a point with negative x and positive y coordinates?

Back

A point with negative x and positive y coordinates is located in Quadrant II.

Front

What is the x-coordinate of a point on the y-axis?

Back

The x-coordinate of a point on the y-axis is always 0.

Front

What is the y-coordinate of a point on the x-axis?

Back

The y-coordinate of a point on the x-axis is always 0.