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Worksheet: Hierarchy of Quadrilaterals
Q2:
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.
- Dnone of the other statements
- EIt is a kite.
Q3:
Are the opposite angles in rectangles and rhombuses equal?
- Ayes
- Bno
Q4:
What kind of quadrilateral is the shape shown here?
- Arhombus and square
- Brectangle and square
- Cparallelogram and square
- Dparallelogram, rectangle, rhombus and square
- Esquare only
Q5:
Determine whether the following statement is true or false: All rectangles are squares.
- A false
- B true
Q6:
What kind of quadrilateral is the shape shown here?
- Aparallelogram and rectangle
- Brectangle and square
- Cparallelogram and rhombus
- Dparallelogram
- Erhombus only
Q7:
Determine whether this statement is true or false: All squares are rectangles.
- Atrue
- Bfalse
Q8:
Is a soccer field a quadrilateral?
- Ayes
- Bno
If yes, what type of quadrilateral?
- Ait is not a quadrilateral
- Brhombus
- Csquare
- Drectangle
Q9:
Determine whether the following statement is true or false: All squares are parallelograms.
- A true
- B false
Q10:
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.
Q11:
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))
Q12:
Which of these is a quadrilateral?
- A
- B
- C
Q13:
How many quadrilaterals are there?
Q14:
Select a pair of quadrilaterals whose diagonals are perpendicular.
- Arectangles, rhombuses
- Brectangles, squares
- Crectangles, parallelograms
- Drhombuses, squares
Q15:
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
Q16:
In which two quadrilaterals are the diagonals equal in length?
- Arectangles, rhombuses
- Brhombuses, squares
- Crectangles, squares
Q17:
In which quadrilateral are the diagonals equal in length but not perpendicular?
- Asquare
- Btrapezium
- Crhombus
- Drectangle
Q18:
Matthew 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
Q19:
Is the following quadrilateral a square?
- Ano
- Byes
Q20:
Which of the following is an example of a quadrilateral that is impossible to draw?
- Aa parallelogram with obtuse and acute angles
- Ba trapezoid with only two right angles
- Ca rhombus with obtuse and acute angles
- Da trapezoid with three right angles
Q21:
Is the following quadrilateral a rectangle?
- Ayes
- Bno
Q22:
How many quadrilaterals have perpendicular diagonals that bisect each other?
Q23:
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
Q24:
Which of these quadrilaterals has lines of symmetry?
- A square, parallelogram, trapezium
- B square, rectangle, trapezium
- C parallelogram, trapezium
- D square, rhombus, rectangle
- E rectangle, parallelogram
Q25:
In which two quadrilaterals are all the sides equal in length?
- Arectangles, rhombuses
- Brectangles, squares
- Crectangles, parallelograms
- Drhombuses, squares