Distance pythag - no scaling

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².

Front

How do you calculate the distance between two points in a coordinate plane?

Back

To calculate the distance (d) between two points (x1, y1) and (x2, y2), use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

Using the distance formula: d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Using the distance formula: d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

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

Back

Using the distance formula: d = √((5 - 0)² + (5 - 0)²) = √(25 + 25) = √50 = 5√2.

Front

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

Back

Using the distance formula: d = √((2 - 2)² + (7 - 3)²) = √(0 + 16) = √16 = 4.

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

Using the distance formula: d = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.

Front

What is the distance between the points (3, 3) and (6, 7)?

Back

Using the distance formula: d = √((6 - 3)² + (7 - 3)²) = √(9 + 16) = √25 = 5.

Front

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

Back

Using the distance formula: d = √((5 - 5)² + (1 - 5)²) = √(0 + 16) = √16 = 4.

Front

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

Back

Using the distance formula: d = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.