Chapter 6 Polygons and Quadrilaterals

Unit 6-1 | Unit 6-2 | Unit 6-3 | Unit 6-4 | Unit 6-5 | Unit 6-6 |

Unit 6-1 Properties of Regular Polygons

**Standard 6a:**Classify polygons based on their sides and angles.**Standard 6b:**Find and use the measures of interior and exterior angles of polygons.

- Concave & Convex Polygons
- Angle and Side Measurements in Polygons
**Assignment 6-1:**Pg. 398 #2-20 even, 21-31, 34-36

Unit 6-2 Properties of Parallelograms

**Standard 6c:**Prove and apply properties of parallelograms to solve problems.

- Criteria for parallelograms
- If a quadrilateral is a parallelogram, then its opposite sides are congruent.
- If a quadrilateral is a parallelogram, then its opposite angles are congruent.
- If a quadrilateral is a parallelogram, then its consecutive (or same-side interior) angles are supplementary.
- If a quadrilateral is a parallelogram, then its diagonals bisect each other.
**Assignment 6-2:**Pg 407 #1-12, 15-24, 32-43

Unit 6-3 Conditions for Parallelograms

**Standard 6d:**Prove that a given quadrilateral is a parallelogram.

- Proving parallelograms
- If the opposite sides of a quadrilateral are congruent, then it is a parallelogram.
- If the opposite angles of a quadrilateral are congruent, then it is a parallelogram.
- If the consecutive angles of a quadrilateral are supplementary, then it is a parallelogram.
- If one pair of opposite sides are parallel and congruent, then the quadrilateral is a parallelogram.
- If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
**Assignment 6-3:**Pg. 418 #1-5, 9-14, 17-23, 26, 27

Unit 6-4 Special Parallelograms

**Standard 6e:**Prove and apply properties of rectangles, rhombuses, and squares.

- Special Parallelograms
- Rhombus
- Rectangle
- Square
**Assignment 6-4:**Pg. 424 #2-31, 35

- Screencast
- Powerpoint
- PDF Notes & Activity
- Desmos

Unit 6-5 Conditions for Special Parallelograms

**Standard 6f:**Prove that a given quadrilateral is a rectangle, rhombus, or square.

- Special Parallelograms
- What makes a Rhombus
- What makes a Rectangle
- What makes a Square
- Using Coordinate Proofs with Special Parallelograms
**Assignment 6-5:**Pg. 434 #9-16, 24-26, 28

- Screencast
- Powerpoint
- PDF Notes & Activity
- Coordinate Proof Activity
- Coordinate Proof Activity Solutions
- Desmos

Unit 6-6 Kites & Trapezoids

**Standard 6g:**Use properties of kites to solve problems**Standard 6h:**Use properties of trapezoids to solve problems

- Kites and their properties
- Trapezoids, their properties, and Isosceles Trapezoids
**Assignment 6-6:**Pg. 445 #15–35 odd, 36

- Screencast
- Powerpoint
- PDF Slides
- Kite/Trapezoid Activity
- Desmos