Coordinate Plane

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal axis (x-axis) and a vertical axis (y-axis), used to locate points using ordered pairs.

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), and Quadrant IV (x > 0, y < 0).

Tags

CCSS.6.NS.C.6B

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written in the form (x, y).

Tags

CCSS.5.G.A.1

Front

Which quadrant contains the point (2, 5)?

Back

Quadrant I.

Tags

CCSS.6.NS.C.6B

Front

What are the coordinates of POINT I?

Back

The coordinates of POINT I are (-2, -5).

Tags

CCSS.6.NS.C.6B

Front

What does the x-axis represent?

Back

The x-axis represents the horizontal line in the coordinate plane where the y-coordinate is zero.

Tags

CCSS.5.G.A.1

Front

What does the y-axis represent?

Back

The y-axis represents the vertical line in the coordinate plane where the x-coordinate is zero.

Tags

CCSS.5.G.A.1

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.

Tags

CCSS.5.G.A.1

Front

How do you determine which quadrant a point is in?

Back

To determine the quadrant, check the signs of the x and y coordinates: both positive in Quadrant I, x negative and y positive in Quadrant II, both negative in Quadrant III, and x positive and y negative in Quadrant IV.

Tags

CCSS.6.NS.C.6B

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.7