Coordinate Grids

Front

What is a coordinate grid?

Back

A coordinate grid is a two-dimensional plane formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). It is used to locate points using ordered pairs.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent the position of a point on a coordinate grid, written in the form (x, y). The first number represents the horizontal position (x-axis) and the second number represents the vertical position (y-axis).

Front

What does the x-axis represent?

Back

The x-axis is the horizontal line on a coordinate grid where the y-coordinate is zero. It runs left to right.

Front

What does the y-axis represent?

Back

The y-axis is the vertical line on a coordinate grid where the x-coordinate is zero. It runs up and down.

Front

How do you find a point that is 5 units to the right and 3 units up from the origin?

Back

Start at the origin (0,0), move 5 units to the right along the x-axis to (5,0), then move 3 units up along the y-axis to (5,3).

Front

What are the coordinates of the origin?

Back

The coordinates of the origin are (0, 0).

Front

What is the significance of the first number in an ordered pair?

Back

The first number in an ordered pair represents the x-coordinate, indicating the horizontal position of the point on the coordinate grid.

Front

What is the significance of the second number in an ordered pair?

Back

The second number in an ordered pair represents the y-coordinate, indicating the vertical position of the point on the coordinate grid.

Front

If a point has coordinates (3, 4), how far is it from the origin?

Back

To find the distance from the origin, use the distance formula: √(x² + y²). For (3, 4), the distance is √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is the coordinate of point A if it is located at (2, 3)?

Back

Point A is located 2 units to the right and 3 units up from the origin.