Distance and Coordinate Plane Review

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Front

What are quadrants in the coordinate plane?

Back

The coordinate plane is divided into four quadrants: 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

What is the distance formula?

Back

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

Front

How do you determine if two points are in the same quadrant?

Back

Two points are in the same quadrant if both their x-coordinates and y-coordinates have the same signs.

Front

What is the length of a line segment?

Back

The length of a line segment is the distance between its two endpoints, calculated using the distance formula.

Front

How do you find a point that is a certain distance away from another point?

Back

To find a point that is a specific distance away, use the distance formula and solve for the coordinates that satisfy the equation.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent points on the coordinate plane, written in the form (x, y).

Front

What does it mean for points to be collinear?

Back

Points are collinear if they lie on the same straight line.

Front

How do you identify the coordinates of a point?

Back

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