Geometry
Chapter 7 Quadrilaterals And Other Polygons
Unit 7-1 Angles of Polygons
- Standard 7a: Solve for and use the interior angle measures of polygons
- Standard 7b: Solve for and use the exterior angle measures of polygons
Outline
- Interior Angles and Polygon Similarity
- Side-length Proportionality and Polygon Similarity
- Assignment 7-1: Pg. 364 #4-30 Even, 34, 38
Unit 7-2 Properties of Paralellograms
- Standard 7c: Use properties to find side lengths and angles of parallelograms
- Standard 7d: Use parallelograms in the coordinate plane
Outline
- Using Coordinate Proofs to Prove Polygon & Circle Similarity
- Assignment 7-2:
Unit 7-3 Proving That a Quadrilateral Is a Parallelogram
- Standard 7e: Identify and verify parallelograms
- Standard 7f: Show that a quadrilateral is a parallelogram in the coordinate plane.
Outline
- Identify
- Parallelogram by parallel and/or congruent sides
- Parallelogram by angle relationships
- Using Coordinate Proofs to Prove Parallelograms through Distance Formula and Slope
- Assignment 7-3: Pg. 381 #4-18 Even
Unit 7-4 Properties of Special Parallelograms
- Standard 7g: Use properties of special parallelograms
- Standard 7h:
Use properties of diagonals of special parallelograms
- Standard 7i: Use coordinate geometry to identify special types of parallelograms
Outline
- Using Proportional Relationships among Similar Quadrilaterals to Solve Problems
- Identify
- Parallelogram
- Rectangle
- Rhombus
- Square
- Assignment 7-4: Part A Pg. 393 #4-16 Even, 24, 26, 28, 29-34 Part B #37-54, 56-62 Even, 64-70 All
Unit 7-5 Properties of Trapezoids and Kites
- Standard 7j: Use properties of trapezoids.
- Standard 7k: Use the Trapezoid Midsegment Theorem to find distances.
- Standard 7l: Use properties of kites.
- Standard 7m: Identify quadrilaterals
Outline
- Properties of Trapezoids
- Exactly One Pair of Opposite Sides Are Parallel
- Isosceles Trapezoid: Non-Parallel Sides Are Congruent
- Properties of Kites
- Exactly One Pair of Opposite Angles Are Congruent
- One Diagonal is a Perpendicular Bisector to the Other Diagonal
- Two Pairs of Adjacent Sides Are Congruent
- Graph Trapezoids and Kites on the Coordinate Plane
- Identifying Special Quadrilaterals
- Assignment 7-5: Pg. 403 #4-18 Even, 21-30