Worksheet: Classifying Quadrilaterals

In this worksheet, we will practice sorting and classifying quadrilaterals by their properties and naming them as trapezoids, parallelograms, rhombuses, rectangles, or squares in as many ways as possible

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, trapezoid
  • 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 trapezoid.
  • 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:

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)

Q19:

Select a pair of quadrilaterals whose diagonals are perpendicular.

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

Q20:

In which two parallelograms are the diagonals equal in length?

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

Q21:

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

  • Asquare
  • Brhombus
  • Ctrapezoid
  • Drectangle

Q22:

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

Q23:

Is the following quadrilateral a square?

  • Ano
  • Byes

Q24:

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

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

Q25:

How many quadrilaterals have perpendicular diagonals that bisect each other?

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