Coordinate Planes & Distance of Points

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 does it mean to reflect a point over the y-axis?

Back

Reflecting a point over the y-axis means to create a mirror image of the point across the y-axis. The x-coordinate changes sign, while the y-coordinate remains the same.

Front

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

Back

The distance between two points is calculated using the formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the length of a line segment between two points?

Back

To find the length of a line segment between two points, use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate plane, written in the form (x, y).

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around the rectangle, calculated as P = 2(length + width).

Front

What is the area of a rectangle?

Back

The area of a rectangle is the amount of space inside it, calculated as Area = length × width.

Front

How do you determine the coordinates of a point on the coordinate plane?

Back

The coordinates of a point are determined by its position relative to the x-axis and y-axis, represented as (x, y).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

When a point is reflected over the x-axis, the y-coordinate changes sign, while the x-coordinate remains the same.

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 plane.