Coordinate Plane Review (NS.6b, NS.8)

Front

What is the coordinate plane?

Back

The 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 of numbers (x, y).

Front

What are the four quadrants of the 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 quadrant of a point (x, y)?

Back

To identify the quadrant, check the signs of x and y: if both are positive, it's Quadrant I; if x is negative and y is positive, it's Quadrant II; if both are negative, it's Quadrant III; if x is positive and y is negative, it's Quadrant IV.

Front

What is the reflection of a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate, resulting in the point (-x, y).

Front

What is the reflection of a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate, resulting in the point (x, -y).

Front

How do you find the distance between two points on the coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) can be found using the formula: Distance = |x1 - x2| + |y1 - y2|.

Front

What does the absolute value represent in coordinate geometry?

Back

The absolute value represents the distance from zero on the number line, indicating how far a number is from zero, regardless of direction.

Front

What are the coordinates of the origin in the coordinate plane?

Back

The coordinates of the origin are (0, 0). It is the point where the x-axis and y-axis intersect.

Front

What is the significance of the x-axis and y-axis?

Back

The x-axis is the horizontal line on the coordinate plane, while the y-axis is the vertical line. They are used to define the position of points.

Front

How do you plot a point on the coordinate plane?

Back

To plot a point (x, y), start at the origin (0, 0), move x units along the x-axis, and then y units up (if y is positive) or down (if y is negative).