Understanding Parallelograms and Their Special Cases

What is the minimum requirement for a shape to be considered a rhombus?

• Four right angles

• Diagonals that bisect each other

• Four congruent sides

• Diagonals that are congruent

Which property is unique to a rhombus?

• Diagonals are congruent

• Opposite sides are parallel

• Diagonals are perpendicular

• All angles are right angles

What condition must be met for a parallelogram to be classified as a rectangle?

• Diagonals are congruent

• Diagonals are perpendicular

• All sides are congruent

• Diagonals bisect opposite angles

If a shape is a parallelogram with congruent diagonals, what can it be classified as?

• Square

• Trapezoid

• Rectangle

• Rhombus

What is the best classification for a shape with diagonals that bisect each other but are not congruent?

• Square

• Parallelogram

• Rectangle

• Rhombus

In a rhombus, what does it mean if the diagonals bisect opposite angles?

• The shape is a trapezoid

• The shape is a rhombus

• The shape is a square

• The shape is a rectangle

How do you solve for x in a rhombus if given 6x - 9 = 2x + 39?

• x = 20

• x = 15

• x = 12

• x = 10

What is the result when diagonals of a rectangle are congruent?

• The shape is a rhombus

• The shape is a trapezoid

• The shape is a parallelogram

• The shape is a square

If a quadrilateral has diagonals that bisect each other, what is it at minimum?

• Rhombus

• Rectangle

• Square

• Parallelogram

What must be true for a quadrilateral to be classified as a square?

• All sides are congruent and diagonals are congruent

• All sides and angles are congruent

• Diagonals are perpendicular and congruent

• All angles are right angles and diagonals bisect each other