Coordinate Geometry

Front

What is the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a slope of -b/a indicate about a line?

Back

It indicates that the line is decreasing, meaning as x increases, y decreases.

Front

What formula do you use to determine if two lines are perpendicular?

Back

If the product of their slopes is -1, then the lines are perpendicular.

Front

What are the coordinates of point Q if Q is defined as (a, b)?

Back

The coordinates of point Q are (a, b).

Front

What is a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length.

Front

What is the definition of a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

How can you prove that a quadrilateral is a parallelogram?

Back

You can prove it by showing that both pairs of opposite sides are congruent.

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

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

Front

What is the significance of the slope in coordinate geometry?

Back

The slope indicates the steepness and direction of a line.