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
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
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