Quadrilaterals (solving)

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 rectangle?

Back

A rectangle has opposite sides that are equal in length, all angles are right angles (90 degrees), and the diagonals are equal in length.

Front

How do you find the area of a rectangle?

Back

Area = length × width.

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What are the properties of a rhombus?

Back

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

Front

How do you find the perimeter of a rectangle?

Back

Perimeter = 2 × (length + width).

Front

What is the relationship between the angles in a quadrilateral?

Back

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

Front

If two sides of a rectangle are represented as FD = 3x - 7 and EG = x + 5, how do you solve for x?

Back

Set FD equal to EG: 3x - 7 = x + 5, then solve for x.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

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

Back

Use the Pythagorean theorem: diagonal = √(length² + width²).