Coordinate Geometry

Front

What is the formula for 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

How do you determine if two lines are perpendicular using their slopes?

Back

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

Front

What is the definition of a rectangle in terms of its properties?

Back

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

Front

What is the definition of 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 relationship between the diagonals of a rectangle?

Back

The diagonals of a rectangle are equal in length and bisect each other.

Front

What is the relationship between the diagonals of a rhombus?

Back

The diagonals of a rhombus are perpendicular to each other and bisect the angles of the rhombus.

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 definition of an isosceles triangle?

Back

An isosceles triangle is a triangle with at least two sides of equal length.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if both pairs of opposite sides are equal in length or if the diagonals bisect each other.