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 the axes in a coordinate plane?

Back

The axes are the two perpendicular lines that define the coordinate plane: the x-axis (horizontal) and the y-axis (vertical).

Tags

CCSS.5.G.A.1

Front

What does the ordered pair (x, y) represent?

Back

The ordered pair (x, y) represents the position of a point on the coordinate plane, where 'x' is the horizontal distance from the origin and 'y' is the vertical distance from the origin.

Tags

CCSS.5.G.A.1

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the ordered pair (0, 0).

Tags

CCSS.5.G.A.1

Front

How do you identify the quadrant of a point?

Back

The coordinate plane is divided into four quadrants. Quadrant I has positive x and y values, Quadrant II has negative x and positive y values, Quadrant III has negative x and y values, and Quadrant IV has positive x and negative y values.

Tags

CCSS.6.NS.C.6B

Front

What is the distance from the origin to the point (3, 4)?

Back

The distance can be calculated using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

Front

What is the significance of negative coordinates?

Back

Negative coordinates indicate positions that are to the left of the origin on the x-axis or below the origin on the y-axis.

Tags

CCSS.6.NS.C.6B

Front

How do you plot the point (2, -3) on the coordinate plane?

Back

Start at the origin (0, 0), move 2 units to the right (positive x-direction), and then move 3 units down (negative y-direction) to plot the point.

Tags

CCSS.5.G.A.2

Front

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

Back

The midpoint formula is: ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

What does it mean for two points to be collinear?

Back

Two points are collinear if they lie on the same straight line.

Tags

CCSS.4.G.A.1