Coordinate plane/Distance

Front

What is the coordinate plane?

Back

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).

Front

What are the four quadrants of the coordinate plane?

Back

Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

What is the distance formula?

Back

The distance between two points (x1, y1) and (x2, y2) is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between points (1, 2) and (1, 5)?

Back

3 units.

Front

What does reflection over the x-axis mean?

Back

It means that for a point (x, y), the reflected point will be (x, -y).

Front

What does reflection over the y-axis mean?

Back

It means that for a point (x, y), the reflected point will be (-x, y).

Front

How do you identify the quadrant of a point?

Back

Look at 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.

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.

Front

What is the vertical distance between two points with the same x-coordinate?

Back

It is the absolute difference between their y-coordinates.

Front

What is the horizontal distance between two points with the same y-coordinate?

Back

It is the absolute difference between their x-coordinates.