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Quadrilaterals and Polygons

Polygons are an important class of geometric shapes. In this unit students study the hierarchy of polygons from the most general to very special quadrilaterals. They extend both interior and exterior angle sum theorems to general polygons, manipulate segments to create quadrilaterals, and investigate properties of special quadrilaterals.

Geometry: Quadrilaterals and Polygons Activities

Title Type

Exploring Diagonals of Quadrilaterals

Investigate characteristics of diagonals of various quadrilaterals.

Alignments  Standards  |  Textbook  
  • 6673


This lesson involves exploring the shapes formed from 3D figures cut by a horizontal and/or a vertical plane. • Compatible TI Technologies: TI-Nspire™ CX Handhelds, TI-Nspire™ Apps for iPad®, TI-Nspire™ Software

Alignments  Standards  |  Textbook  
  • 2327

Interior Angles of Regular Polygons

Explore the interior angles of regular polygons by dividing the polygons into triangles.

Alignments  Standards  |  Textbook  
  • 6923

Sum of Exterior Angles of Polygons

Investigate interior angles of polygons and the sum of their measures.

Alignments  Standards  |  Textbook  
  • 6662

Properties of Special Quadrilaterals

Explore properties of some special quadrilaterals using segments to build quadrilaterals and explore their angles.

Alignments  Standards  |  Textbook  
  • 6647

Creating a Parallelogram

Explore the differences of constructed verses drawn parallelograms by dragging vertices and investigate properties.

Alignments  Standards  |  Textbook  
  • 6501

Creating a Midpoint Quad

Explore special outer and inner quadrilaterals formed by the connected midpoints and investigate the area relationships.

Alignments  Standards  |  Textbook  
  • 6341

Rhombi, Kites, and Trapezoids

Students discover properties of the diagonals of rhombi and kites, and the properties of angles in rhombi, kites, and trapezoids.

Alignments  Standards  |  Textbook  
  • 4758
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