Distance on a Coordinate Plane

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 of numbers (x, y).

Tags

CCSS.5.G.A.1

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to locate points on a coordinate plane, written in the form (x, y), where 'x' represents the horizontal position and 'y' represents the vertical position.

Tags

CCSS.5.G.A.1

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 distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (3, 2) and (3, -1)?

Back

The distance is 3 units.

Tags

CCSS.6.G.A.3

Front

What is the length of the longest side of a rectangle with vertices at (3, 2), (-2, 2), (-2, -1), (3, -1)?

Back

The length of the longest side is 5 units.

Tags

CCSS.6.G.A.3

Front

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

Back

The distance is 3 units.

Tags

CCSS.6.G.A.3

Front

What does the x-coordinate represent in an ordered pair?

Back

The x-coordinate represents the horizontal position of a point on the coordinate plane.

Tags

CCSS.5.G.A.1

Front

What does the y-coordinate represent in an ordered pair?

Back

The y-coordinate represents the vertical position of a point on the coordinate plane.

Tags

CCSS.5.G.A.1

Front

If two points have the same x-coordinate, what can you say about their positions?

Back

If two points have the same x-coordinate, they lie on a vertical line.

Tags

CCSS.5.G.A.2

Front

If two points have the same y-coordinate, what can you say about their positions?

Back

If two points have the same y-coordinate, they lie on a horizontal line.

Tags

CCSS.5.G.A.1