# Worksheet: Identifying the Hierarchy of Trapezoids, Parallelograms, Rectangles, Rhombuses, and Squares

Q1:

Is the following quadrilateral a rectangle?

• Ayes
• Bno

Q2:

In which two quadrilaterals are all the sides equal in length?

• Arectangles, rhombuses
• Brectangles, squares
• Crectangles, parallelograms
• Drhombuses, squares

Q3:

• A square, rectangle, trapezoid
• B square, rectangle, rhombus
• C square, rectangle, rhombus, parallelogram
• D square, rectangle
• E rectangle, trapezoid

Q4:

Which of the following statements about a trapezoid is true?

• AIt is a quadrilateral with 1 pair of sides equal in length.
• BIt is a quadrilateral with 1 pair of parallel sides that are equal in length.
• CIt is not a quadrilateral.
• DIt is a quadrilateral with 1 pair of parallel sides.
• EIt is an equilateral polygon.

Q5:

Name the quadrilaterals which have all four sides perpendicular to their adjacent sides?

• Asquares, rectangles, and trapezoids
• Bsquares, rectangles, and rhombuses
• Csquares, rectangles, rhombuses, and parallelograms
• Dsquares and rectangles
• Erectangles and trapezoids

Q6:

What kind of quadrilateral is the shape shown here?

• Arhombus and rectangle
• Brectangle and square
• Cparallelogram and rhombus
• Dparallelogram and rectangle
• Erectangle only

Q7:

What kind of quadrilateral is the shape shown here?

• Arhombus and square
• Brectangle and square
• Cparallelogram and square
• Dparallelogram, rectangle, rhombus and square
• Esquare only

Q8:

What kind of quadrilateral is the shape shown here?

• Aparallelogram and rectangle
• Brectangle and square
• Cparallelogram and rhombus
• Dparallelogram
• Erhombus only

Q9:

Is a soccer field a quadrilateral?

• Ayes
• Bno

If yes, what type of quadrilateral?

• Ait is not a quadrilateral
• Brhombus
• Csquare
• Drectangle

Q10:

Which of the following shapes is a quadrilateral with the smallest number of right angles?

• Ashape ((iii))
• Bshape ((ii))
• C shapes ((i)) and ((ii))
• Dshape ((i))

Q11:

Which of these is a quadrilateral?

• A
• B
• C

Q12:

Q13:

Select a pair of quadrilaterals whose diagonals are perpendicular.

• Arectangles, rhombuses
• Brectangles, squares
• Crectangles, parallelograms
• Drhombuses, squares

Q14:

In which two quadrilaterals are the diagonals equal in length?

• Arectangles, rhombuses
• Brhombuses, squares
• Crectangles, squares

Q15:

In which quadrilateral are the diagonals equal in length but not perpendicular?

• Asquare
• Btrapezium
• Crhombus
• Drectangle

Q16:

• Ahave equal sides
• Bare rectangles
• Chave 4 straight sides

Which of these is a quadrilateral?

• A
• B
• C

Q17:

Is the following quadrilateral a square?

• Ano
• Byes

Q18:

Which of the following is an example of a quadrilateral that is impossible to draw?

• Aa parallelogram with obtuse and acute angles
• Ba trapezoid with only two right angles
• Ca rhombus with obtuse and acute angles
• Da trapezoid with three right angles

Q19:

How many quadrilaterals have perpendicular diagonals that bisect each other?

Q20:

Which of these quadrilaterals has lines of symmetry?

• A square, parallelogram, trapezium
• B square, rectangle, trapezium
• C parallelogram, trapezium
• D square, rhombus, rectangle
• E rectangle, parallelogram

Q21:

Is the following quadrilateral a parallelogram?

• Ayes
• Bno

Q22:

Are the opposite angles in rectangles and rhombuses equal?

• Ayes
• Bno

Q23:

Determine whether the following statement is true or false: All rectangles are squares.

• A false
• B true

Q24:

Determine whether this statement is true or false: All squares are rectangles.

• Atrue
• Bfalse

Q25:

Determine whether the following statement is true or false: All squares are parallelograms.

• A true
• B false