Coordinate Plane & Pythagorean Theorem

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), used to locate points using ordered pairs (x, y).

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 is expressed as: c² = a² + b².

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

The distance d can be calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The distance is 5 units.

Front

If point A is at (1, 2) and point B is at (4, 6), what is the distance between them?

Back

The distance is 5 units.

Front

What is the length of the hypotenuse in a right triangle with legs of length 3 and 4?

Back

The length of the hypotenuse is 5 units.

Front

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

Back

The distance is 4 units.

Front

If a point moves from (0, 0) to (6, 8), what is the distance traveled?

Back

The distance traveled is 10 units.

Front

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

Back

The distance is 5 units.

Front

How do you find the distance between two points on a coordinate plane?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).