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Worksheet: Classifying Quadrilaterals based on Sides and Angles

Q1:

How many vertices does a quadrilateral have?

Q2:

What is common between the following shapes?

  • AAll shapes are equilateral.
  • BAll shapes contain one pair of equal sides.
  • CAll shapes are quadrilateral.
  • DAll shapes contain perpendicular sides.
  • EAll shapes contain right angles.

Q3:

Is this quadrilateral a rectangle?

  • AYes
  • BNo

Q4:

Is this quadrilateral a square?

  • ANo
  • BYes

Q5:

Is this quadrilateral a rhombus?

  • AYes
  • BNo

Q6:

Is this quadrilateral a parallelogram?

  • ANo
  • BYes

Q7:

Is this quadrilateral a square?

  • AYes
  • BNo

Q8:

Is this quadrilateral a rhombus?

  • AYes
  • BNo

Q9:

Is this quadrilateral a parallelogram?

  • ANo
  • BYes

Q10:

What is the name of this quadrilateral?

  • Aa parallelogram
  • Ba square
  • Ca trapezoid
  • Da rectangle
  • Ea rhombus

Q11:

Which of the following labels the given quadrilateral?

  • Arectangle, rhombus
  • Brectangle, square
  • Ctrapezoid
  • Dtrapezoid, square
  • Etrapezoid, rhombus

Q12:

Which classifications fit this quadrilateral?

  • AIt is a square.
  • BIt is both a rectangle and a square.
  • CIt is both a parallelogram and a rectangle.
  • DIt is only a parallelogram.
  • EIt is both a parallelogram and a rhombus.

Q13:

Which of the following labels the given quadrilateral?

  • Aparallelogram, rhombus
  • Bparallelogram, triangle
  • Cparallelogram, rectangle
  • Dsquare, rectangle
  • Eparallelogram, square

Q14:

Which of the following labels the given quadrilateral?

  • Acircle
  • Btriangle
  • Cparallelogram
  • Dsquare
  • Erhombus

Q15:

Classify the quadrilateral in as many ways as possible.

  • Arectangle, rhombus
  • Brectangle, square
  • Cparallelogram, rectangle, square, rhombus
  • Dsquare, rhombus
  • Erectangle, square, rhombus

Q16:

What is the name of this quadrilateral?

  • Aa trapezoid
  • Ba square
  • Ca parallelogram
  • Da rectangle
  • Ea rhombus

Q17:

State which of these quadrilaterals have four congruent sides: square, rectangle, trapezoid, rhombus, parallelogram.

  • Arectangle, rhombus
  • Bsquare, rhombus, trapezoid
  • Csquare, rhombus
  • Dsquare, parallelogram
  • Esquare, rectangle, rhombus

Q18:

Which list consists of quadrilaterals with the property that, on each, the pairs of opposite sides have equal length?

  • Aa rectangle, a rhombus, a parallelogram, a square, and a trapezium
  • Ba rectangle, a square, a parallelogram, and a trapezium
  • Ca rectangle, a square, a parallelogram, and a rhombus
  • Da rhombus, a trapezium, a square, and a parallelogram
  • Ea trapezium, a square, a rhombus, and a rectangle

Q19:

State which of these quadrilaterals have exactly one pair of parallel sides: square, rectangle, trapezoid, rhombus, parallelogram.

  • Asquare, rectangle, rhombus
  • Bsquare, rectangle, trapezoid
  • Ctrapezoid
  • Dtrapezoid, parallelogram
  • Esquare, rectangle

Q20:

In which two quadrilaterals are all the angles right angles?

  • Arhombuses, parallelograms
  • Brectangles, squares
  • Crectangles, rhombuses
  • Drhombuses, squares

Q21:

Identify the list all of whose members share the property that each pair of their opposite sides are parallel.

  • Aa rectangle, a triangle, a parallelogram, a rhombus
  • Ba rectangle, a square, a parallelogram, a trapezium
  • Ca rectangle, a square, a parallelogram, a rhombus
  • Da rectangle, a triangle, a square, a parallelogram
  • Ea quadrilateral, a square, a parallelogram, a rectangle

Q22:

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.
  • BIt is a rectangle.
  • Cnone of the above
  • DIt is a parallelogram.
  • EIt is a square.

Q23:

Samuel and his brother are building a tree house. It will have 2 windows. One window is shaped like a square, and the other is shaped like a rectangle. What do these two figures have in common?

  • A3 equal sides and 3 right angles
  • B4 equal sides and 4 right angles
  • C4 right angles
  • D4 equal sides
  • E5 right angles

Q24:

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 kite.
  • BIt is a rectangle.
  • Cnone of the other statements
  • DIt is a rhombus.
  • EIt is a square.

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