Algebraic & Geometric Connection

Front

What is the formula for the perimeter of a quadrilateral?

Back

The perimeter of a quadrilateral is the sum of the lengths of all its sides: P = a + b + c + d.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

What is a kite in geometry?

Back

A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length.

Front

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

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What are the characteristics of parallel lines?

Back

Parallel lines have the same slope and never intersect.

Front

How can you determine if a quadrilateral is a rectangle?

Back

A quadrilateral is a rectangle if all angles are right angles (90 degrees) and opposite sides are equal.

Front

What is the relationship between the slopes of two lines that are parallel?

Back

The slopes of parallel lines are equal.

Front

What is the formula for the area of a rectangle?

Back

The area (A) of a rectangle is given by A = length × width.