Parallelograms and Rectangles

Front

What is a parallelogram?

Back

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

Tags

CCSS.3.G.A.1

Front

What are the properties of a rectangle?

Back

A rectangle is a parallelogram with four right angles, opposite sides that are equal, and diagonals that are congruent.

Tags

CCSS.HSG.CO.C.11

Front

In a parallelogram, what do the diagonals do?

Back

In a parallelogram, the diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between the opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal.

Tags

CCSS.HSG.C.A.3

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

If the length of a rectangle is 14 and the width is 9, what is the area?

Back

Area = 14 × 9 = 126.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Tags

CCSS.8.G.B.7

Front

What is the length of the diagonal in a rectangle with sides 14 and 9?

Back

Using the Pythagorean theorem: Diagonal = √(14² + 9²) = √(196 + 81) = √277 ≈ 16.64.

Tags

CCSS.8.G.B.7

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that have the same shape and size.

Tags

CCSS.8.G.A.2

Front

What is the sum of the interior angles of a quadrilateral?

Back

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