Worksheet: Hierarchy of Quadrilaterals

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

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?

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

Q2:

Is the following quadrilateral a rectangle?

  • Ayes
  • Bno

Q3:

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

  • Arhombuses, squares
  • Brectangles, squares
  • Crectangles, parallelograms
  • Drectangles, rhombuses

Q4:

Name the quadrilaterals in which all adjacent sides are perpendicular.

  • Asquare, rectangle
  • Brectangle, trapezoid
  • Csquare, rectangle, trapezoid
  • Dsquare, rectangle, rhombus
  • Esquare, rectangle, rhombus, parallelogram

Q5:

Which of the following statements about a trapezoid is true?

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

Q6:

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

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

Q7:

What kind of quadrilateral is the shape shown here?

  • Arhombus and rectangle
  • Brectangle and square
  • Cparallelogram and rectangle
  • Drectangle only
  • Eparallelogram and rhombus

Q8:

Which of the following labels the given quadrilateral?

  • Asquare
  • Bparallelogram
  • Crhombus
  • Dtriangle
  • Ecircle

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.

  • Atrapezoid, parallelogram
  • Bsquare, rectangle, trapezoid
  • Ctrapezoid
  • Dsquare, rectangle
  • Esquare, rectangle, rhombus

Q11:

In which two quadrilaterals are the diagonals equal in length?

  • Arectangle, trapezium
  • Bsquare, rhombus
  • Crhombus, parallelogram
  • Dsquare, rectangle
  • Erectangle, parallelogram

Q12:

Which classifications fit this quadrilateral?

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

Q13:

Name the quadrilaterals that have two pairs of parallel sides.

  • Asquares, trapezoids, and parallelograms
  • Bsquares, rectangles, trapezoids, and parallelograms
  • Crectangles, trapezoids, and parallelograms
  • Dsquares, rectangles, rhombuses, and parallelograms
  • Etrapezoids 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 an isosceles trapezium.
  • BAll of the other choices are incorrect.
  • CIt is a parallelogram.
  • DIt is a rectangle.
  • EIt is a square.

Q15:

Classify the quadrilateral in as many ways as possible.

  • Arectangle, rhombus
  • Brectangle, square
  • Cparallelogram, rectangle, square, rhombus
  • Dsquare, rhombus
  • Erectangle, square, rhombus

Q16:

What kind of quadrilateral is the shape shown here?

  • Asquare only
  • Bparallelogram, rectangle, rhombus and square
  • Cparallelogram and square
  • Drhombus and square
  • Erectangle and square

Q17:

What kind of quadrilateral is the shape shown here?

  • Aparallelogram and rhombus
  • Brectangle and square
  • Crhombus only
  • Dparallelogram
  • Eparallelogram and rectangle

Q18:

Is a soccer field a quadrilateral?

  • Ayes
  • Bno

If yes, what type of quadrilateral?

  • Asquare
  • Brhombus
  • Cit is not a quadrilateral
  • Drectangle

Q19:

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

  • AShape (iii)
  • BShape (ii)
  • CShape (i)
  • DShapes (i) and (ii)

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, parallelograms
  • Brectangles, squares
  • Crhombuses, squares
  • Drectangles, rhombuses

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
  • Brhombus
  • Ctrapezium
  • Drectangle

Q25:

Matthew has sorted the shapes into quadrilaterals and not quadrilaterals.

Complete: All quadrilaterals .

  • Ahave equal sides
  • Bhave 4 straight sides
  • Care rectangles

Which of these is a quadrilateral?

  • A
  • B
  • C

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