December 6th Flashcardziz Proving Quadrilaterals

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 parallelogram?

Back

A parallelogram has opposite sides that are equal in length, opposite angles that are equal, and the diagonals bisect each other.

Front

How do you determine if a quadrilateral is a parallelogram using slopes?

Back

If both pairs of opposite sides have the same slope, the quadrilateral is a parallelogram.

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

What is the slope of Side AC if the coordinates are A(1,2) and C(3,4)?

Back

The slope of Side AC is 1, calculated as (4-2)/(3-1).

Front

What is the slope of Side AB if the coordinates are A(1,2) and B(5,-2)?

Back

The slope of Side AB is -1, calculated as (-2-2)/(5-1).

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 is the difference between a square and a rectangle?

Back

A square is a special type of rectangle where all four sides are of equal length.

Front

What is the formula for the length of a diagonal in a rectangle?

Back

The length of the diagonal (d) can be calculated using the Pythagorean theorem: d = √(length² + width²).

Front

How do you find the length of a side using the distance formula?

Back

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