Properties of Parallelograms and Rhombus

Which of the following most SPECIFICALLY describes a rhombus?

• a plane figure that is a polygon

• a quadrilateral with 2 pairs of parallel sides

• a parallelogram with 4 sides of equal length

• a polygon with 4 sides

Which statement BEST describes why the shape below is a rhombus?

• It is a square with no right angles.

• It is a parallelogram with equal sides.

• It is a polygon with equal sides and equal angles.

• It is a quadrilateral with one pair of acute angles and one pair of obtuse angles.

Which statement is true?

• A quadrilateral is always a parallelogram.

• A square is always a parallelogram

• A parallelogram is never a rhombus.

• A trapezoid never has two congruent sides.

Which of the following characteristics of rhombi help to distinguish them from parallelograms?

• Rhombi have four congruent sides.

• Rhombi have opposite angles that are congruent.

• Rhombi have opposite sides that are parallel.

• Rhombi have four right angles.

• Four congruent sides

• opposite sides are parallel

• diagonals bisect one another

• opposite angles are congruent

Which is both a parallelogram and a rhombus?

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True or False: A rhombus is NOT a parallelogram.

• True

• False

Quadrilateral A(-4,-3), B(3,-2), C(-2,-7), D(-9,-8) is a ​ (a)   because all four sides have the same ​ (b)  

• rhombus

• length

• rectangle

• square

• perpendicular

• parallelogram

• trapezoid

• triangle

• slope

A rhombus is a parallelogram.

• TRUE

• FALSE

Quadrilateral JKLM is shown below. Which statement gives the MOST specific name for quadrilateral JKLM and the reason for the name?

• Quadrilateral JKLM is a rhombus because it is a trapezoid that contains no right angles.

• Quadrilateral JKLM is a rhombus because it is a parallelogram with all sides equal in length.

• Quadrilateral JKLM is a parallelogram because it is a trapezoid with all sides equal in length,

• Quadrilateral JKLM is a parallelogram because both pairs of opposite angles have equal angle measures.