Worksheet: Hierarchy of Quadrilaterals

In this worksheet, we will practice identifying the hierarchy of different quadrilaterals based on the number of pairs of parallel sides and right triangles.

Q1:

A field is in the shape of a quadrilateral, with two straight footpaths connecting opposite corners. The footpaths cross at right angles. Given just this information, what can you say about the shape of the field?

  • AIt is a rhombus.
  • BIt is a square.
  • CIt is a rectangle.
  • DThere is not enough information to identify the shape.
  • EIt is a kite.

Q2:

Is the following quadrilateral a rectangle?

  • Ayes
  • Bno

Q3:

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

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

Q4:

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

Q5:

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.

Q6:

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

Q7:

What kind of quadrilateral is the shape shown here?

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

Q8:

Which of the following labels the given quadrilateral?

  • A square
  • B rhombus
  • C triangle
  • D parallelogram
  • E circle

Q9:

Fill in the blanks: A quadrilateral has diagonals.

Q10:

State which of these quadrilaterals have exactly one pair of parallel sides: square, rectangle, trapezoid, rhombus, parallelogram.

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

Q11:

In which two quadrilaterals are the diagonals equal in length?

  • Arhombus, parallelogram
  • Bsquare, rhombus
  • Crectangle, parallelogram
  • Dsquare, rectangle
  • Erectangle, trapezium

Q12:

Which classifications fit this quadrilateral?

  • AIt is only a parallelogram.
  • BIt is both a parallelogram and a rhombus.
  • C It is both a rectangle and a square.
  • DIt is both a parallelogram and a rectangle.
  • EIt is a square.

Q13:

Name the quadrilaterals that have two pairs of parallel sides.

  • Arectangles, trapezoids, and parallelograms
  • Bsquares, rectangles, trapezoids, and parallelograms
  • Ctrapezoids and parallelograms
  • Dsquares, rectangles, rhombuses, and parallelograms
  • Esquares, trapezoids, and parallelograms

Q14:

A field is in the shape of a quadrilateral, with two straight footpaths connecting opposite corners. What can you say about the shape of the field if the footpaths have the same length?

  • AIt is a parallelogram.
  • BIt is a square.
  • CIt is a rectangle.
  • DAll of the other choices are incorrect.
  • EIt is an isosceles trapezium.

Q15:

Classify the quadrilateral in as many ways as possible.

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

Q16:

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

Q17:

What kind of quadrilateral is the shape shown here?

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

Q18:

Is a soccer field a quadrilateral?

  • Ayes
  • Bno

If yes, what type of quadrilateral?

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

Q19:

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))

Q20:

Which of these is a quadrilateral?

  • A
  • B
  • C

Q21:

How many quadrilaterals are there?

Q22:

Select a pair of quadrilaterals whose diagonals are perpendicular.

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

Q23:

In which two parallelograms are the diagonals equal in length?

  • ARectangles, rhombuses
  • BRhombuses, squares
  • CRectangles, squares

Q24:

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

  • Asquare
  • Btrapezium
  • Crhombus
  • Drectangle

Q25:

Sameh 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

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.