6-4 Review: Rectangles Longer

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 are the properties of a rectangle?

Back

1. Opposite sides are equal in length. 2. All angles are right angles (90 degrees). 3. Diagonals bisect each other and are equal in length.

Front

What does it mean for angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

If m∠BCE = 4x - 23 and m∠DCE = 5 + 5x, how do you find m∠BEC?

Back

Set up the equation: (4x - 23) + (5 + 5x) = 180. Solve for x, then substitute back to find m∠BEC.

Front

What is the relationship between the angles in a rectangle?

Back

Consecutive angles in a rectangle are supplementary.

Front

Is a rectangle a parallelogram?

Back

Yes, a rectangle is a type of parallelogram because it has opposite sides that are equal and parallel.

Front

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

Back

Use the Pythagorean theorem: d = √(length² + width²), where d is the diagonal.

Front

If AB = 14 and BC = 9 in rectangle ABCD, what is the length of diagonal AC?

Back

AC = √(14² + 9²) = √(196 + 81) = √277 ≈ 16.64.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width).