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