Coordinate Geometry

Front

What is Coordinate Geometry?

Back

Coordinate Geometry is a branch of mathematics that uses a coordinate system to describe the position of points, lines, and shapes in a plane.

Front

What are the coordinates of a point?

Back

Coordinates of a point are a pair of numbers (x, y) that represent its position on a Cartesian plane, where 'x' is the horizontal distance from the origin and 'y' is the vertical distance.

Front

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

Back

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

Front

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

Back

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

Front

How do you plot the point (3, 4)?

Back

To plot the point (3, 4), move 3 units to the right along the x-axis and then 4 units up along the y-axis.

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, its coordinates change to (x, -y).

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, its coordinates change to (-x, y).

Front

What is the formula for calculating the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

The midpoint formula is M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the perimeter of a rectangle with length 5 and width 3?

Back

The perimeter P of a rectangle is calculated as P = 2(length + width). For this rectangle, P = 2(5 + 3) = 16.