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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?

  • A All shapes contain perpendicular sides.
  • BAll shapes contain right angles.
  • CAll shapes contain one pair of equal sides.
  • DAll shapes are quadrilateral.
  • E All shapes are equilateral.

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

Q11:

Which of the following labels the given quadrilateral?

  • A trapezoid, square
  • B trapezoid, rhombus
  • C rectangle, square
  • D trapezoid
  • E rectangle, rhombus

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:

Which of the following labels the given quadrilateral?

  • A square, rectangle
  • B parallelogram, square
  • C parallelogram, triangle
  • D parallelogram, rectangle
  • E parallelogram, rhombus

Q14:

Which of the following labels the given quadrilateral?

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

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

Q16:

What is the name of this quadrilateral?

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

Q17:

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

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

Q18:

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

  • A a rhombus, a trapezium, a square, and a parallelogram
  • B a trapezium, a square, a rhombus, and a rectangle
  • C a rectangle, a square, a parallelogram, and a trapezium
  • D a rectangle, a square, a parallelogram, and a rhombus
  • E a rectangle, a rhombus, a parallelogram, a square, and a trapezium

Q19:

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

Q20:

In which two quadrilaterals are all the angles right angles?

  • Arectangles, rhombuses
  • Brhombuses, squares
  • Crhombuses, parallelograms
  • Drectangles, squares

Q21:

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

  • A a rectangle, a triangle, a square, a parallelogram
  • B a quadrilateral, a square, a parallelogram, a rectangle
  • C a rectangle, a square, a parallelogram, a trapezium
  • D a rectangle, a square, a parallelogram, a rhombus
  • E a rectangle, a triangle, a parallelogram, a rhombus

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 a parallelogram.
  • BIt is a square.
  • CIt is a rectangle.
  • Dnone of the above
  • EIt is an isosceles trapezium.

Q23:

Ethan 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?

  • A 4 equal sides
  • B 5 right angles
  • C 4 equal sides and 4 right angles
  • D 4 right angles
  • E 3 equal sides and 3 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 rhombus.
  • BIt is a square.
  • CIt is a rectangle.
  • Dnone of the other statements
  • EIt is a kite.