Coordinate Geometry

Front

What is a rectangle?

Back

A rectangle is a quadrilateral with four right angles and opposite sides that are equal in length.

Front

What are the properties of a parallelogram?

Back

A parallelogram has opposite sides that are equal and parallel, opposite angles that are equal, and its diagonals bisect each other.

Front

How do you determine if two lines are perpendicular using coordinates?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the distance formula in coordinate geometry?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint formula?

Back

The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What defines a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length and opposite angles that are equal.

Front

What is the formula for the slope of a line?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is given by m = (y2 - y1) / (x2 - x1).

Front

What is a trapezoid?

Back

A trapezoid is a quadrilateral with at least one pair of parallel sides.

Front

What is the significance of congruent diagonals in a quadrilateral?

Back

If the diagonals of a quadrilateral are congruent, it can indicate that the quadrilateral is a rectangle or an isosceles trapezoid.

Front

What is the relationship between the angles in a rectangle?

Back

In a rectangle, all four angles are right angles (90 degrees).