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5th grade · Math · Unit 8 of 14

Parallel Lines and Quadrilaterals

Sort four-sided shapes

What your child practices

Finding parallel and perpendicular edges and sides, and sorting quadrilaterals (rectangles, squares, trapezoids, parallelograms and rhombuses) by their sides and angles.

Arizona Academic Standards learning standard: 5.G.B.3; 5.G.B.4 · classifying two-dimensional figures in a hierarchy by their properties

How we explain it

Children can open this short lesson before they practice.

  1. Parallel lines stay the same distance apart and never meet.
  2. Perpendicular lines meet at a right angle.
  3. Sort quadrilaterals by parallel sides and equal sides.

Example: A quadrilateral has two pairs of parallel sides and four right angles. What could it be? Two pairs of parallel sides: a parallelogram. Four right angles: a rectangle. Answer: A rectangle

Parallel Lines and Quadrilaterals in Arizona

In the Arizona Academic Standards, this is unit 8 of 14 in 5th grade Math, after Mental Math Tricks and before Converting Units.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Arizona Department of Education

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Which shape has all sides equal but no right angles?

    • a square
    • a rectangle
    • a rhombus that is not a square

  2. Question 2

    A trapezoid has…

    • at least one pair of parallel sides
    • four equal sides
    • no right angles at all

  3. Question 3

    Which quadrilateral has exactly one pair of parallel sides?

    • a trapezoid
    • a rhombus
    • a rectangle

  4. Question 4

    Which shape has four equal sides and four right angles?

    • square
    • trapezoid
    • parallelogram

  5. Question 5

    Which letter has parallel lines?

    • V
    • H
    • X

  6. Question 6

    A rectangle is not a rhombus unless it is also a…

    • square
    • trapezoid
    • triangle

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