Distances In a Coordinate System (Pythagorean Theorem) SP3-A

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 find the distance between two points in a coordinate system?

Back

To find the distance 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 (-9, 6) and (8, 1)?

Back

The distance is approximately 17.72.

Front

What is the distance between the points (-9, 3) and (7, 5)?

Back

The distance is approximately 16.12.

Front

What is the distance between the points (2, 2) and (8, 5)?

Back

The distance is approximately 6.71.

Front

What is the distance between the points (-4, -4) and (5, 8)?

Back

The distance is 15.

Front

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

Back

The distance is approximately 8.94.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What are the coordinates of a point?

Back

Coordinates of a point are a pair of numbers (x, y) that define its position on a coordinate plane.

Front

What does it mean to round to the nearest hundredth?

Back

Rounding to the nearest hundredth means adjusting a number to two decimal places, where the second decimal place is the hundredth.