Evidence of Understanding

**distinguish trapezoids, parallelograms, rectangles, kites, rhombuses, and squares using properties of their sides and angles**- analyze examples and nonexamples to create and and test conjectures about
**quadrilaterals** - identify and use properties that result in quadrilaterals being part of the same “family”
- Examples:
**rectangle, square,**and**rhombus**are all**parallelograms**, and all parallelograms are**trapezoids**

- Examples:

- analyze examples and nonexamples to create and and test conjectures about
**explore and prove relationships about interior and exterior angles of quadrilaterals and regular polygons**- apply knowledge about triangles to generate and test conjectures about quadrilaterals and other regular polygons
- use diagonals (auxiliary lines) to partition figures into triangles to determine the the sum of the interior angles of a polygon

- justify thatinterior angles of a quadrilateral always add up to 360° using examples and non-examples
- use tools to draw quadrilaterals, measure angles, and explain the impact of human error

- prove the interior angles for any quadrilateral sum to 360°
- find the value of missing interior and exterior angles in a polygon

- apply knowledge about triangles to generate and test conjectures about quadrilaterals and other regular polygons
**explore and prove relationships about angles and sides of a parallelogram**- identify and justify congruent angles and sides of a parallelogram
- make conjectures and use dynamic software, index cards, transparencies, paper folding, etc. to study sides and angles

- prove opposite sides and angles of a parallelogram are congruent
- apply properties of parallel lines cut by a transversal

- prove same side/consecutive interior angles of a parallelogram are supplementary
- prove a given figure is a square, rectangle, or rhombus
- apply properties of parallelograms, parallel lines, and triangle congruence criteria

- find the measure of a missing value or measurements

- identify and justify congruent angles and sides of a parallelogram

Develop conceptual understanding:

quadrilaterals, rectangle, square, rhombus, parallelogram, trapezoid, kite, diagonalSupporting terms to communicate:

example, non-example, human error, supplementary, bisect, perpendicular, parallel, transversal, auxiliary line, interior angles, adjacent side/angle, opposite side/angle, SSS, SAS, ASA, AAS, CPCTC