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Quadrilaterals

Five names and what each one demands

Two tiles look alike until you measure them. How do you name a four-sided shape?

A shape, tilted, sides marked equal.
Step 1 of 4
  1. A shape, tilted, sides marked equal.
  2. Opposite sides parallel? Yes.
  3. All four corners 90°? No.
  4. All four sides equal? Yes. Best name: rhombus.

Check the shape against each name's list of demands.

Rule: A name is a list. A shape has that name only when it meets the whole list. Opposite sides are two sides that do not touch.

What each of the five names asks a shape to prove
NameWhat it demands
TrapeziumAt least one pair of parallel sides.
ParallelogramBoth pairs of opposite sides parallel.
RectangleBoth pairs parallel, and all four corners exactly 90°.
RhombusBoth pairs parallel, and all four sides the same length.
SquareBoth pairs parallel, all four corners 90°, and all four sides equal.

A shape can meet more than one list. Take the longest list it meets, the one with the most demands. That is its best name. A square meets all five, so its best name is square.

Watch out!

Tilting a shape onto a corner does not make it a rhombus. Measure the sides first. A tilted square is still a square.

Look at the shape. Tap its best name.

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This track

  1. 0 Start here
  2. 1 Four straight sides, joined up
  3. 2 The four angles come to 360°
  4. 3 A line to the corner across
  5. 4 Five names and what each one demands
  6. 5 What a parallelogram gives you
  7. 6 Checkpoint: sides, angles and the family
  8. 7 Diagonals that cut each other in half
  9. 8 A rectangle also has matching diagonals
  10. 9 A rhombus crosses at a right angle
  11. 10 One shape, several names
  12. 11 Building one from measurements
  13. 12 Checkpoint: diagonals, names and building
  14. 13 The big picture
  15. 14 Track quiz

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