Treasure Map - Coordinate Distance

Front

What is a coordinate system?

Back

A coordinate system is a method for identifying the position of points in a space using numbers, typically represented as (x, y) in a two-dimensional plane.

Front

What does the term 'distance' refer to in geometry?

Back

Distance refers to the amount of space between two points, often measured in units such as miles or kilometers.

Front

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

Back

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

Front

What are the coordinates of a point located 5 units up and 3 units right from the origin (0,0)?

Back

The coordinates would be (3, 5).

Front

What does 'quadrant' mean in a coordinate system?

Back

A quadrant is one of the four sections of a coordinate plane, divided by the x-axis and y-axis.

Front

What are the coordinates of a point in quadrant I?

Back

Coordinates in quadrant I have both x and y values positive, e.g., (3, 4).

Front

What are the coordinates of a point in quadrant IV?

Back

Coordinates in quadrant IV have a positive x value and a negative y value, e.g., (5, -3).

Front

If a pirate ship is located at (0, 5), how far is it from the origin?

Back

The distance is 5 miles, as it is 5 units up on the y-axis.

Front

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

Back

The distance is 4 units, calculated as |7 - 3|.

Front

How do you express the distance between two points in the same quadrant?

Back

You can express it as the sum of the absolute differences of their x and y coordinates.