Coordinate Planes

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).

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: Quadrant I (positive x and y), Quadrant II (negative x and positive y), Quadrant III (negative x and y), Quadrant IV (positive x and negative y).

Front

What does the x-axis represent?

Back

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

Front

What does the y-axis represent?

Back

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

Front

How do you identify the coordinates of a point?

Back

Coordinates are identified as (x, y), where 'x' is the horizontal distance from the origin and 'y' is the vertical distance from the origin.

Front

What are the coordinates of the origin?

Back

The coordinates of the origin are (0, 0).

Front

In which quadrant is the point (-3, 4) located?

Back

The point (-3, 4) is located in Quadrant II.

Front

In which quadrant is the point (5, -2) located?

Back

The point (5, -2) is located in Quadrant IV.

Front

What is the significance of the signs of coordinates?

Back

The signs of coordinates indicate the quadrant in which the point is located: positive x and y in Quadrant I, negative x and positive y in Quadrant II, negative x and y in Quadrant III, and positive x and negative y in Quadrant IV.

Front

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

Back

The distance is calculated using the formula √(x² + y²), which gives √(3² + 4²) = √(9 + 16) = √25 = 5.