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:

• 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:

• 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:

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: