# 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