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

**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?

- AIt is a rhombus.
- BIt is a square.
- CIt is a rectangle.
- DThere is not enough information to identify the shape.
- EIt is a kite.

**Q2: **

Is the following quadrilateral a rectangle?

- Ayes
- Bno

**Q3: **

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

- Arectangles, rhombuses
- Brectangles, squares
- Crectangles, parallelograms
- Drhombuses, squares

**Q4: **

Name the quadrilaterals in which all adjacent sides are perpendicular.

- A square, rectangle, trapezoid
- B square, rectangle, rhombus
- C square, rectangle, rhombus, parallelogram
- D square, rectangle
- E rectangle, trapezoid

**Q5: **

Which of the following statements about a trapezoid is true?

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

**Q6: **

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

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

**Q8: **

Which of the following labels the given quadrilateral?

- A square
- B rhombus
- C triangle
- D parallelogram
- E circle

**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.

- A trapezoid, parallelogram
- B square, rectangle
- C square, rectangle, trapezoid
- D trapezoid
- E square, rectangle, rhombus

**Q11: **

In which two quadrilaterals are the diagonals equal in length?

- Arhombus, parallelogram
- Bsquare, rhombus
- Crectangle, parallelogram
- Dsquare, rectangle
- Erectangle, trapezium

**Q12: **

Which classifications fit this quadrilateral?

- AIt is only a parallelogram.
- BIt is both a parallelogram and a rhombus.
- C It is both a rectangle and a square.
- DIt is both a parallelogram and a rectangle.
- EIt is a square.

**Q13: **

Name the quadrilaterals that have two pairs of parallel sides.

- Arectangles, trapezoids, and parallelograms
- Bsquares, rectangles, trapezoids, and parallelograms
- Ctrapezoids and parallelograms
- Dsquares, rectangles, rhombuses, and parallelograms
- Esquares, trapezoids, 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 a parallelogram.
- BIt is a square.
- CIt is a rectangle.
- DAll of the other choices are incorrect.
- EIt is an isosceles trapezium.

**Q15: **

Classify the quadrilateral in as many ways as possible.

- A square, rhombus
- B rectangle, square, rhombus
- C rectangle, square
- D parallelogram, rectangle, square, rhombus
- E rectangle, rhombus

**Q17: **

What kind of quadrilateral is the shape shown here?

- Aparallelogram and rectangle
- Brectangle and square
- Cparallelogram and rhombus
- Dparallelogram
- Erhombus only

**Q18: **

Is a soccer field a quadrilateral?

- Ayes
- Bno

If yes, what type of quadrilateral?

- Ait is not a quadrilateral
- Brhombus
- Csquare
- Drectangle

**Q19: **

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

- Ashape ((iii))
- Bshape ((ii))
- C shapes ((i)) and ((ii))
- Dshape ((i))

**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, rhombuses
- Brectangles, squares
- Crectangles, parallelograms
- Drhombuses, squares

**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
- Btrapezium
- Crhombus
- Drectangle

**Q25: **

Sameh has sorted the shapes into quadrilaterals and not quadrilaterals.

Complete: All quadrilaterals .

- Ahave equal sides
- Bare rectangles
- Chave 4 straight sides

Which of these is a quadrilateral?

- A
- B
- C