Properties of Quadrilaterals

Which information is not sufficient to prove that a parallelogram is a rectangle?

• The diagonals are congruent.

• One pair of adjacent sides are perpendicular.

• The opposite sides are congruent.

• The parallelogram has 4 congruent right angles.

Tags

CCSS.HSG.CO.C.11

A parallelogram must be a rhombus if its diagonals

• are congruent

• bisect each other

• do not bisect its angles

• are perpendicular to each other

Tags

CCSS.HSG.CO.C.11

Which information is not sufficient to prove that a parallelogram is a rhombus?

• The diagonals are perpendicular to each other.

• One pair of adjacent sides are congruent.

• The diagonals bisect their respective angles.

• The diagonals are congruent.

A parallelogram must be a rhombus if its diagonals

• are congruent

• bisect each other

• Are the same

• Bisect its angles

Tags

CCSS.HSG.CO.C.11

Fill in the blank: A parallelogram is a rhombus if its diagonals _______.

• are congruent

• bisect each other

• are perpendicular

• do not bisect its angles

Tags

CCSS.HSG.CO.C.11

Match the following properties with the correct quadrilateral:

• Diagonals are congruent

• Square

• Diagonals are perpendicular

• Rhombus

• Diagonals bisect each other

• Rectangle

• Diagonals are perpendicular and congruen

• Parallelogram

Tags

CCSS.HSG.CO.C.11

A rectangle is a parallelogram with diagonals that

• are congruent

• bisect each other

• are perpendicular

• that intersect at right angles

Tags

CCSS.HSG.CO.C.11

A rhombus is a parallelogram with diagonals that

• are congruent

• bisect each other

• intersect at right angles

• do not bisect its angles

Tags

CCSS.HSG.CO.C.11

Match the shape with property

• Adjacent Sides are Congruent

• Rectangle

• Adjacent Sides are perpendicular

• Square

• Adjacent sides are congruent & perpend

• Rhombus

Tags

CCSS.HSG.CO.C.11

A square is a parallelogram that has

• Only Rectangle properties

• Only Rhombus Properties

• Properties from BOTH rectangle and rhombus

Tags

CCSS.HSG.CO.C.11