Coordinate Geometry

Front

What is a coordinate in a 2D plane?

Back

A coordinate is a pair of numbers (x, y) that define a point's position on a two-dimensional plane, where 'x' represents the horizontal position and 'y' represents the vertical position.

Front

What does the x-axis represent in a coordinate system?

Back

The x-axis is the horizontal line in a coordinate system where the y-coordinate is zero.

Front

What does the y-axis represent in a coordinate system?

Back

The y-axis is the vertical line in a coordinate system where the x-coordinate is zero.

Front

How do you plot the point (0, -6) on a coordinate plane?

Back

Start at the origin (0,0), move down 6 units along the y-axis, and mark the point.

Front

What is the reflection of a point (x, y) over the x-axis?

Back

The reflection of (x, y) over the x-axis is (x, -y).

Front

What is the reflection of a point (x, y) over the y-axis?

Back

The reflection of (x, y) over the y-axis is (-x, y).

Front

What is the reflection of a point (x, y) over the origin?

Back

The reflection of (x, y) over the origin is (-x, -y).

Front

How do you find the distance between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the formula for the area of a rectangle given its coordinates?

Back

Area = length × width, where length and width can be calculated from the coordinates.

Front

What is the longest side of a rectangle with coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)?

Back

The longest side is 5 units.