Coordinate Plane

Front

What is the definition of the coordinate plane?

Back

The 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).

Tags

CCSS.5.G.A.1

Front

What are the four quadrants of the coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Tags

CCSS.6.NS.C.6B

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2) on the coordinate plane?

Back

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

Tags

CCSS.HSG.GPE.B.7

Front

What is the significance of the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect, serving as the reference point for all other points in the coordinate plane.

Tags

CCSS.5.G.A.1

Front

How do you identify the coordinates of a point on the coordinate plane?

Back

The coordinates of a point are identified as an ordered pair (x, y), where 'x' represents the horizontal position and 'y' represents the vertical position.

Tags

CCSS.5.G.A.1

Front

What does it mean for a point to be in Quadrant I?

Back

A point in Quadrant I has both x and y coordinates that are positive (x > 0, y > 0).

Tags

CCSS.6.NS.C.6B

Front

What is the distance between the points (3, 4) and (3, -2)?

Back

The distance is 6 units, calculated as d = |4 - (-2)| = 6.

Tags

CCSS.6.NS.C.8

Front

How can you determine which quadrant a point lies in based on its coordinates?

Back

By examining the signs of the x and y coordinates: positive x and positive y indicate Quadrant I, negative x and positive y indicate Quadrant II, negative x and negative y indicate Quadrant III, and positive x and negative y indicate Quadrant IV.

Tags

CCSS.6.NS.C.6B

Front

What are the coordinates of a point that lies on the x-axis?

Back

The coordinates of a point on the x-axis are of the form (x, 0), where 'x' can be any real number.

Tags

CCSS.5.G.A.1

Front

What are the coordinates of a point that lies on the y-axis?

Back

The coordinates of a point on the y-axis are of the form (0, y), where 'y' can be any real number.

Tags

CCSS.5.G.A.1