Conditions of Rhombuses, Rectangles, and Squares

Which statement is false?

• All squares are rhombuses.

• All rhombuses are quadrilaterals.

• All parallelograms are rhombuses.

• Some rhombuses are rectangles. 

Brayden is working on a report in which he will compare and contrast the different types of quadrilaterals. Which statement should NOT be included in his report?

• All rhombuses are squares.

• All squares are parallelograms.

• All squares and rectangles have opposite sides that are congruent.

• All parallelograms, rectangles, and squares have opposite angles that are congruent.

Classify the quadrilateral using the most specific name.

• Parallelogram

• Rectangle

• Square

• Rhombus

Choose the quadrilateral(s) for which the statement is true: Both pairs of opposite sides are congruent

(There may be more than one answer!)

• Parallelogram

• Rectangle

• Rhombus

• Square

Choose the quadrilateral(s) for which the statement is true: Both pairs of opposite angles are congruent

(There may be more than one answer!)

• Parallelogram

• Rectangle

• Rhombus

• Square

Choose the quadrilateral(s) for which the statement is true: All angles are congruent

(There may be more than one answer!)

• Parallelogram

• Rectangle

• Rhombus

• Square

Find the value of x.

• x = 50

• x = 40

• x = 30

• x = 90

Find the value of x.

• x = 1

• x = 3

• x = 2

• x = 0

Classify the quadrilateral using the most specific name.

• Parallelogram

• Rectangle

• Square

• Rhombus

Determine the conditions for a quadrilateral to be a square based on its angles and sides.

• All angles are right angles and all sides are of equal length.

• All angles are acute angles and all sides are of equal length.

• All angles are right angles and all sides are of different lengths.

• All angles are obtuse angles and all sides are of equal length.