Properties of Special Parallelograms

What is the definition of a rectangle according to the text?

• A parallelogram with four congruent sides

• A quadrilateral with four right angles

• A parallelogram with two congruent diagonals

• A quadrilateral with two pairs of parallel sides

Tags

CCSS.3.G.A.1

If a parallelogram is a rectangle, what property do its diagonals have?

• The diagonals are not congruent

• The diagonals are perpendicular

• Each diagonal bisects a pair of opposite angles

• The diagonals are congruent

Tags

CCSS.HSG.CO.C.11

What is true about the figure formed by joining the midpoints of the sides of a rectangle?

• It forms a parallelogram

• It forms a square

• It forms a rhombus

• It forms another rectangle

Tags

CCSS.HSG.CO.C.11

What is the definition of a rhombus?

• A parallelogram with four right angles

• A quadrilateral with four congruent sides

• A parallelogram with congruent diagonals

• A quadrilateral with two pairs of parallel sides

Tags

CCSS.3.G.A.1

If a parallelogram is a rhombus, what is true about its diagonals? (Select all that are true)

• The diagonals are perpendicular

• Each diagonal bisects a pair of opposite angles

• The diagonals bisect each other at right angles

• The diagonals are congruent

Tags

CCSS.HSG.CO.C.11

Which statement is true for a square?

• It is a rectangle with two congruent diagonals

• It is a quadrilateral with only two right angles

• It is a parallelogram with four congruent sides and four right angles

• It is a rhombus with two adjacent sides congruent

Tags

CCSS.HSG.CO.C.11

How can a square be described in terms of a rhombus and a rectangle?

• All of the above

• A square is a rhombus with four right angles

• A square is a rectangle with two congruent diagonals

• A square is a rhombus with two adjacent sides perpendicular

Tags

CCSS.HSG.CO.C.11

What is the converse theorem of a rectangle having congruent diagonals?

• If a parallelogram has congruent diagonals, it is a rectangle

• If a parallelogram has perpendicular diagonals, it is a rectangle

• If a quadrilateral has two pairs of parallel sides, it is a rectangle

• If a quadrilateral has four right angles, it is a rectangle

Tags

CCSS.HSG.CO.C.11

What does it mean if a parallelogram's diagonals bisect a pair of opposite angles?

• The parallelogram is a square

• The parallelogram is a rhombus

• The parallelogram is neither a rectangle nor a rhombus

• The parallelogram is a rectangle

Tags

CCSS.HSG.CO.C.11

Which of the following is NOT a correct way to describe a square?

• A parallelogram with four congruent sides and four right angles

• A rhombus with four right angles

• A rectangle with four congruent sides

• A quadrilateral with two pairs of parallel sides and no right angles

Tags

CCSS.HSG.CO.C.11