Proving Quadrilaterals Exit Ticket

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four sides, four vertices, and four angles.

Front

What are the properties of a rhombus?

Back

A rhombus has all sides congruent, opposite angles are equal, and diagonals bisect each other at right angles.

Front

How do you determine if a quadrilateral is a rectangle?

Back

A quadrilateral is a rectangle if it has four right angles or if the diagonals are congruent.

Front

What is the formula for 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 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 it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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 the significance of congruent sides in a quadrilateral?

Back

Congruent sides indicate that the quadrilateral may have special properties, such as being a rhombus or rectangle.

Front

How can you prove that a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if both pairs of opposite sides are parallel or if one pair of opposite sides is both congruent and parallel.

Front

What is the relationship between the slopes of opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides have equal slopes, indicating they are parallel.