Geometry Parallelograms (7.2-7.3)

Front

What is a parallelogram?

Back

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

Front

What are the properties of the sides of a parallelogram?

Back

In a parallelogram, opposite sides are equal in length and parallel.

Front

What is the relationship between the angles of a parallelogram?

Back

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (add up to 180°).

Front

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

Back

The opposite angle is also 70°, and the other two angles are 110° each.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

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

Back

Use the formula: d = √(a² + b² - 2ab cos(θ)), where a and b are the lengths of the sides and θ is the angle between them.

Front

What is a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

What is the difference between a rectangle and a square?

Back

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

Front

If the length of a rectangle is 10 cm and the width is 5 cm, what is its area?

Back

Area = length × width = 10 cm × 5 cm = 50 cm².

Front

What does it mean for sides to be congruent?

Back

Congruent sides are sides that are equal in length.