Lesson Worksheet: Quadrilaterals Mathematics

In this worksheet, we will practice identifying the properties of rectangles, squares, parallelograms, trapezoids, and rhombuses.

Q1:

Which of the following is a list of shapes in which every two opposite sides are parallel?

  • AA rectangle, a triangle, a square, a parallelogram
  • BA quadrilateral, a square, a parallelogram, a rectangle
  • CA rectangle, a triangle, a parallelogram, a rhombus
  • DA rectangle, a square, a parallelogram, a rhombus
  • EA rectangle, a square, a parallelogram, a trapezoid

Q2:

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 parallelogram with all sides of equal length.
  • DIt is a regular polygon.
  • EIt is a quadrilateral with 4 angles equal in measure.

Q3:

Think about what these shapes have in common.

They all have sides.

  • A4
  • B3
  • C5

They all have angles.

  • Aequal
  • Bright
  • C4

What name can we use for all these shapes?

  • Asquares
  • Bquadrilaterals
  • Crhombuses
  • Drectangles

Q4:

Ali says that this shape is a quadrilateral.

Explain why he is wrong.

  • ABecause it has more than 4 sides
  • BBecause it has less than 5 sides
  • CBecause it has more than 3 sides
  • DBecause it has less than 4 sides

Q5:

What is common between the following shapes?

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

Q6:

Fatima and Faisal have drawn 3 quadrilaterals on the board.

What do all these shapes have in common?

  • AThey all have exactly two pairs of parallel sides.
  • BThey are all parallelograms.
  • CThey all have at least one pair of parallel sides.
  • DThey all have at least one right angle.

What is different about these shapes?

  • AOne shape is not a type of parallelogram.
  • BOnly two of the shapes have right angles.
  • COne of the shapes does not have any pairs of parallel sides.
  • DThey are not all quadrilaterals.

Q7:

Khalid and Abeer are describing two quadrilaterals.

Who is correct?

  • AAbeer
  • BNeither Khalid nor Abeer
  • CKhalid
  • DBoth Khalid and Abeer

Q8:

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

  • Aa rectangle
  • Ba cube
  • Ca rhombus
  • Da triangle
  • Ea square

Q9:

Which of the following statements correctly describes a property of the given shape?

  • AIt has only 1 pair of perpendicular sides.
  • BIt has 2 right angles and one pair of parallel sides.
  • CIt is equilateral.
  • DIt has 2 pairs of parallel sides.
  • EIt has 4 angles equal in measure.

Q10:

Which of the following is a list of quadrilaterals with the property that, for each, the pairs of opposite sides have equal length?

  • AA rectangle, a square, a parallelogram, and a trapezoid
  • BA trapezoid, a square, a rhombus, and a rectangle
  • CA rhombus, a trapezoid, a square, and a parallelogram
  • DA rectangle, a square, a parallelogram, and a rhombus
  • EA rectangle, a rhombus, a parallelogram, a square, and a trapezoid

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