Coordinate Plane

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).

Tags

CCSS.5.G.A.1

Front

What are 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).

Tags

CCSS.5.G.A.1

Front

What is the origin in the coordinate plane?

Back

The point where the x-axis and y-axis intersect, represented by the coordinates (0,0).

Tags

CCSS.5.G.A.1

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate, resulting in (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate, resulting in (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the formula for the perimeter of a square?

Back

The perimeter P of a square with side length s is given by P = 4s.

Tags

CCSS.4.MD.A.3

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is given by A = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What does the x-coordinate represent in a point (x, y)?

Back

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

Tags

CCSS.5.G.A.1

Front

What does the y-coordinate represent in a point (x, y)?

Back

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

Tags

CCSS.5.G.A.1

Front

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

Back

The distance d is calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7