# 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

**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

**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

**Q25: **

How many quadrilaterals have perpendicular diagonals that bisect each other?