2-5 Distance on the Coordinate Plane

Front

What is the definition of 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), used to locate points using ordered pairs (x, y).

Front

What are ordered pairs?

Back

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

Front

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

Back

To calculate the distance between two points (x1, y1) and (x2, y2), use the formula: Distance = |y2 - y1| for vertical distance or |x2 - x1| for horizontal distance.

Front

What is the distance between the points (5, 6) and (5, 8)?

Back

2 units

Front

What is the distance between the points (-7, 8) and (2, 8)?

Back

9 units

Front

What is the distance between the points (3, -5) and (3, -8)?

Back

3 units

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Front

If a rectangle has a length of 10 units and a width of 7 units, what is its perimeter?

Back

34 units

Front

What does it mean for points to be vertically aligned on a coordinate plane?

Back

Points are vertically aligned if they have the same x-coordinate, meaning they lie on a vertical line.

Front

What does it mean for points to be horizontally aligned on a coordinate plane?

Back

Points are horizontally aligned if they have the same y-coordinate, meaning they lie on a horizontal line.