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Lesson 13 of 15

The big picture

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Every tile in the corridor now has a name.

Ten ideas about a four-sided shape
IdeaHow it goes
Four sidesStraight, closed, no side crossing another.
Corner totalCut along a diagonal inside the shape. Four angles total 360°.
DiagonalsA line to a non-neighbour corner. A quadrilateral has 2.
Five namesTrapezium, parallelogram, rectangle, rhombus, square — each a list.
ParallelogramSides match, angles match, next-door angles total 180°.
HalvingA parallelogram's diagonals cut each other in half.
Matching lengthsEqual diagonals plus a parallelogram means a rectangle.
Square crossingFour equal sides make the diagonals cross at 90°.
Several namesA square is also a rhombus, a rectangle, a parallelogram.
Building oneFour sides need a fifth measurement to fix one shape.

Part I, Chapter 4 of your textbook is Quadrilaterals. Read it next.