12-05 Geo A Squares

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 is the formula to find the length of the diagonal (d) in a rectangle with sides a and b?

Back

d = √(a² + b²) where a and b are the lengths of the sides.

Front

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

Back

AC = 22, calculated using the Pythagorean theorem.

Front

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

Back

All angles in a rectangle are congruent (each measuring 90 degrees).

Front

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

Back

Opposite sides of a rectangle are equal in length and parallel.

Front

What is the relationship between the diagonals of a rectangle?

Back

The diagonals of a rectangle are equal in length.

Front

If one side of a rectangle is 6 and the other is 8, what is the length of the diagonal?

Back

The diagonal is 10, calculated using the Pythagorean theorem: d = √(6² + 8²) = √(36 + 64) = √100 = 10.

Front

True or False: A rectangle can have sides of different lengths.

Back

True, a rectangle can have two pairs of equal sides, but they can be of different lengths.

Front

What is the perimeter (P) of a rectangle with length l and width w?

Back

P = 2(l + w).

Front

What is the area (A) of a rectangle with length l and width w?

Back

A = l × w.