Geometry: Chapter 6 Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What are the properties of a rectangle?

Back

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

Front

What is a rhombus?

Back

A rhombus is a parallelogram with all four sides congruent (equal in length).

Front

What is a square?

Back

A square is a parallelogram that has all sides congruent and all angles equal to 90 degrees.

Front

What is the relationship between the opposite angles of a parallelogram?

Back

The opposite angles of a parallelogram are congruent (equal in measure).

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees.

Front

If one angle of a parallelogram is 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the adjacent angles are each 110 degrees (supplementary to 70 degrees).

Front

How do you find the length of the diagonal in a rectangle?

Back

Use the Pythagorean theorem: AC = √(AB² + BC²).

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width).