The Coordinate Plane, Distance, & Reflections

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: 1st Quadrant (x > 0, y > 0), 2nd Quadrant (x < 0, y > 0), 3rd Quadrant (x < 0, y < 0), 4th Quadrant (x > 0, y < 0).

Front

How do you determine the quadrant of a point?

Back

To determine the quadrant of a point (x, y), check the signs of x and y: if both are positive, it's in Quadrant 1; if x is negative and y is positive, it's in Quadrant 2; if both are negative, it's in Quadrant 3; if x is positive and y is negative, it's in Quadrant 4.

Front

What is the distance formula?

Back

The distance formula is used to find the distance between two points (x1, y1) and (x2, y2) and is given by: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (7, -2) and (11, -2)?

Back

The distance is 4 units.

Front

What is the distance between the points (8, -10) and (5, -10)?

Back

The distance is 3 units.

Front

What does it mean for a point to be in Quadrant 4?

Back

A point in Quadrant 4 has a positive x-coordinate and a negative y-coordinate.

Front

What does it mean for a point to be in Quadrant 3?

Back

A point in Quadrant 3 has both negative x and y coordinates.

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 intersect at the origin (0, 0).

Front

How can you identify the coordinates of a point on the coordinate plane?

Back

The coordinates of a point are identified as (x, y), where x is the horizontal distance from the origin and y is the vertical distance from the origin.