Coordinate Plane Review

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). It is used to locate points using ordered pairs (x, y).

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: 1st Quadrant (x > 0, y > 0), 2nd Quadrant (x < 0, y > 0), 3rd Quadrant (x < 0, y < 0), 4th Quadrant (x > 0, y < 0).

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).

Front

Which quadrant contains points where x is positive and y is negative?

Back

The 4th Quadrant.

Front

What does the x-axis represent on a coordinate plane?

Back

The x-axis represents the horizontal line on the coordinate plane where y = 0.

Front

What does the y-axis represent on a coordinate plane?

Back

The y-axis represents the vertical line on the coordinate plane where x = 0.

Front

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

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect. It serves as the reference point for all other points.

Front

How do you identify the quadrant of a point (x, y)?

Back

Determine the signs of x and y: If x > 0 and y > 0, it's in the 1st Quadrant; if x < 0 and y > 0, it's in the 2nd Quadrant; if x < 0 and y < 0, it's in the 3rd Quadrant; if x > 0 and y < 0, it's in the 4th Quadrant.

Front

What is the distance between the points (2, 3) and (2, 7)?

Back

The distance is 4 units, calculated as |7 - 3|.

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

The distance is 5 units, calculated using the distance formula: √((4-1)² + (5-1)²) = √(9 + 16) = √25 = 5.