Proving Quadrilaterals Exit Ticket

Front

What is the definition of a quadrilateral?

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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

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 rhombus using side lengths?

Back

If all four sides of the quadrilateral are congruent, then it is a rhombus.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals of each other.

Front

How do you find the length of a line segment between two points (x1, y1) and (x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the diagonals in a parallelogram?

Back

In a parallelogram, the diagonals bisect each other.

Front

What is the formula for the distance between two points in a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).