Worksheet: Properties of Quadrilaterals

In this worksheet, we will practice classifying quadrilaterals according to their sides’ and angles’ relationships.

Q1:

Is the following quadrilateral a rectangle?

  • Ano
  • Byes

Q2:

Is this quadrilateral a rhombus?

  • AYes
  • BNo

Q3:

How many vertices does a quadrilateral have?

Q4:

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.

Q5:

Is this quadrilateral a rhombus?

  • AYes
  • BNo

Q6:

What is the name of this quadrilateral?

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

Q7:

Which of the following labels the given quadrilateral?

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

Q8:

What is the name of this quadrilateral?

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

Q9:

Select the shape that has four right angles.

  • Aparallelogram
  • Brhombus
  • Ctrapezium
  • Dsquare

Q10:

Which of the following labels the given quadrilateral?

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

Q11:

Which of the following labels the given quadrilateral?

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

Q12:

Is the following quadrilateral a rhombus?

  • Ayes
  • Bno

Q13:

Is the following quadrilateral a rhombus?

  • Ano
  • Byes

Q14:

Is the following quadrilateral a square?

  • Ano
  • Byes

Q15:

Is this quadrilateral a rectangle?

  • ANo
  • BYes

Q16:

Is this quadrilateral a rectangle?

  • AYes
  • BNo

Q17:

Is this quadrilateral a square?

  • ANo
  • BYes

Q18:

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

Q19:

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

Q20:

Which of the following statements about a rhombus is true?

  • AIt is a quadrilateral with only 2 sides equal in length.
  • BIt is a quadrilateral with 4 pairs of perpendicular sides.
  • CIt is a quadrilateral with 4 angles equal in measure.
  • DIt is a parallelogram with all sides of equal length.
  • EIt is a regular polygon.

Q21:

Choose from the following statements the properties of a parallelogram.

  1. It has two pairs of opposite sides of equal length.
  2. It is a quadrilateral of four equal angles.
  3. It has one pair of perpendicular sides.
  4. It has four sides of equal length.
  5. It has two pairs of equal angles.
  • AB and D
  • BA and B
  • CB and E
  • DA and E
  • ED and E

Q22:

Name two quadrilaterals whose 4 sides all have the same length.

  • Arhombus, rectangle
  • Bsquare, rectangle
  • Crhombus, parallelogram
  • Dsquare, rhombus

Q23:

Sherif 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:

Fady draws a quadrilateral that has 4 equal sides but no right angles. What quadrilateral might it be?

  • A a square
  • B a triangle
  • C a rectangle
  • D a rhombus
  • E a cube

Q25:

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

  • A Square and parallelogram
  • B Square, rectangle, and rhombus
  • C Square, rhombus, and trapezoid
  • D Square and rhombus
  • E Rectangle and rhombus

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