Coordinate plane/Distance

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 x-axis and y-axis?

Back

The x-axis is the horizontal number line on a coordinate plane, while the y-axis is the vertical number line.

Front

What is an ordered pair?

Back

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

Front

How do you find the distance between two points on the same vertical line?

Back

To find the distance between two points on the same vertical line, subtract the y-coordinates and take the absolute value.

Front

How do you find the distance between two points on the same horizontal line?

Back

To find the distance between two points on the same horizontal line, subtract the x-coordinates and take the absolute value.

Front

What is the distance between the points (3, 4) and (3, 10)?

Back

The distance is 6 units.

Front

What is the distance between the points (2, 5) and (8, 5)?

Back

The distance is 6 units.

Front

What does it mean to reflect a point over the x-axis?

Back

Reflecting a point over the x-axis means to flip it vertically, changing the sign of the y-coordinate.

Front

What does it mean to reflect a point over the y-axis?

Back

Reflecting a point over the y-axis means to flip it horizontally, changing the sign of the x-coordinate.

Front

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

Back

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