Rectangles

Front

What is a rectangle?

Back

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

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).

Front

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

Back

AC = 22 (using the Pythagorean theorem: AC = √(AB² + BC²)).

Front

In a rectangle, what can be said about the diagonals?

Back

The diagonals of a rectangle are equal in length and bisect each other.

Front

What is the relationship between opposite sides of a rectangle?

Back

Opposite sides of a rectangle are parallel and congruent.

Front

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

Back

Set m∠BCE + m∠DCE = 90° (since they are complementary) and solve for x.

Front

Which of the following is NOT true about the sides of a rectangle?

Back

All sides are congruent (this is true for squares, not rectangles).

Front

If the length of a rectangle is 12 and the width is 5, what is the perimeter?

Back

Perimeter = 2(12 + 5) = 34.

Front

What is the length of the diagonal BD in rectangle ABCD if AB = 14 and BC = 9?

Back

BD = 22 (using the Pythagorean theorem: BD = √(AB² + BC²)).