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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:

Name the quadrilaterals in which all adjacent sides are perpendicular.

  • 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:

How many quadrilaterals are there?

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:

Matthew has sorted the shapes into quadrilaterals and not quadrilaterals.

Complete: All quadrilaterals .

  • 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