Distance in the Coordinate Plane

Front

What is the definition of distance in the coordinate plane?

Back

Distance in the coordinate plane refers to the length of the straight line between two points, measured using the distance formula.

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).

Front

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

Back

For points (x, y1) and (x, y2), the distance is |y2 - y1|.

Front

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

Back

For points (x1, y) and (x2, y), the distance is |x2 - x1|.

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

5 units (using the distance formula: d = √((3-0)² + (4-0)²) = 5).

Front

What is the perimeter of a rectangle with vertices at (3, 2), (-2, 2), (-2, -1), (3, -1)?

Back

16 units (Perimeter = 2 * (length + width) = 2 * (5 + 3)).

Front

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

Back

4 units (since they lie on a horizontal line, distance = |5 - 1| = 4).

Front

What is the distance between the points (3, -5) and (3, -8)?

Back

3 units (since they lie on a vertical line, distance = |-5 - (-8)| = 3).

Front

What is the distance between the points (0, 6) and (0, -4)?

Back

10 units (since they lie on a vertical line, distance = |6 - (-4)| = 10).

Front

What is the distance between the points (5, 6) and (5, 8)?

Back

2 units (since they lie on a vertical line, distance = |6 - 8| = 2).