2-5 Distance on the Coordinate Plane

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

If point A is at (3, 4) and point B is at (3, 1), what is the distance between them?

Back

Distance = 3 units (vertical distance) because x-coordinates are the same.

Front

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

Back

Distance = 5 units (using the distance formula: √((4-0)² + (3-0)²) = √(16 + 9) = √25 = 5).

Front

How do you determine the length of a side of a rectangle on a coordinate plane?

Back

Subtract the x-coordinates or y-coordinates of the endpoints of that side.

Front

What is the length of the longest side of a rectangle with vertices at (1, 1), (1, 5), (4, 1), and (4, 5)?

Back

Length = 4 units (vertical side from (1, 1) to (1, 5)).

Front

What is the length of the shortest side of a rectangle with vertices at (2, 3), (2, 7), (5, 3), and (5, 7)?

Back

Length = 3 units (horizontal side from (2, 3) to (5, 3)).

Front

If the distance between two points is 10 units and one point is (2, 3), what could be another point?

Back

Possible points include (2, 13), (12, 3), or (-8, 3).

Front

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

Back

Distance = √((2 - (-1))² + (2 - (-1))²) = √(3² + 3²) = √18 = 3√2 units.

Front

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

Back

Subtract the x-coordinates of the two points.

Front

What is the distance between the points (5, 5) and (5, 0)?

Back

Distance = 5 units (vertical distance).