sta’s poniatowski, carly lear, and jessica faris

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Hierarchy Sta’s Poniatowski, Carly Lear, and Jessica Faris

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Page 1: Sta’s Poniatowski, Carly Lear, and Jessica Faris

HierarchySta’s Poniatowski, Carly Lear,

and Jessica Faris

Page 2: Sta’s Poniatowski, Carly Lear, and Jessica Faris

What is it? A tool to differentiate between

shapes, separate their properties, and explain their relationships.

Shapes on Hierarchy: kite, trapezoid, isosceles trapezoid, parallelogram, rectangle, rhombus and square.

Page 3: Sta’s Poniatowski, Carly Lear, and Jessica Faris

Why does that go there? “Every property true of all figures of

one type in the hierarchy is also true of all figures of all the types below it to which the first is connected.”

Each shape is traced back to a quadrilateral, making each shape a quadrilateral, which is a four sided polygon.

Page 4: Sta’s Poniatowski, Carly Lear, and Jessica Faris

Continued The last shape in the hierarchy is the

square. This is because it has the most minimum requirements. It is connected to the rhombus and the rectangle. A rhombus because it has four equal sides, and a rectangle because it has four right angles.

Page 5: Sta’s Poniatowski, Carly Lear, and Jessica Faris

The Quadrilateral Hierarchy Theorem…

Seven types of quadrilaterals are related.

Who created it and when is unknown. However, it should last, because its

connections are clean and clear, and summarize the connections between each quadrilateral.