Distance on a Coordinate Plane

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the opposite of squaring a number?

Back

Square root

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you find the hypotenuse of a right triangle?

Back

Use the formula: c = √(a² + b²)

Front

What is the definition of a right triangle?

Back

A triangle with one angle measuring 90 degrees.

Front

What are the coordinates of the origin on a coordinate plane?

Back

(0, 0)

Front

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

Back

The horizontal axis where y = 0.

Front

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

Back

The vertical axis where x = 0.

Front

How do you calculate the distance between two points (3, 4) and (7, 1)?

Back

Distance = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

What is the distance between the points (2, 3) and (5, 7)?

Back

Distance = √((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5.