Math 3 Chapter 5 – Quadrilaterals and Parallel Lines January 6, 2014
Problem Set Problems:
Sec 5-2: #16
Sec 5-3: #22
Sec 5-4: #14
Sec 5-5: #10
Sec 5-6: #14
Dates:
NO SCHOOL – Monday, January 20 th MLK
Problem Set Due
B block: Wednesday, January 22 nd
C & F block: Thursday, January 23 rd
Review Day
Sec 5-7: #8
B & F Block: Friday, January 24 th
C block: Monday, January 27 th
Test Day
F Block: Monday, January 27 th
C & B Block: Tuesday, January 28 th
** There are A LOT of theorems and properties and definitions in this chapter, it would behoove you to memorize them as quickly as possible. You may also find that rereading the section after or before a class will be helpful to you. **
Lesson 1 – 5.3 Angles from Parallel Lines
 Learn which sets of angles are congruent when parallel lines are cut by a transversal.
 Understand the parallel postulate.
 Look at a crook problem.
Theorems: Parallel Postulate, P  AIC, P  CAC, P  SSIS, P  SSES, P  AEC, P  CAC with perpendicularity.
HW: pg. 229 (1, 2, 4, 7, 10, 11, 16, 22, 24)
Lesson 2 – 5.2 Proving lines parallel
 Learn the exterior angle theorem
 Learn to prove lines parallel
Theorems: Exterior Angle Inequality, AIC  P, CAC  P, AEC  P, SSIS  P, SSES  P,
Perpendicularity and parallel lines, Parallel transitive property of lines
HW: pg. 220 (1, 2, 4, 5, 8, 9, 12, 14 – 16, 20, 21)
Lesson 3 – 5.4 Four-Sided Polygons
 Understand the definition of polygon
 Learn the definitions of the six special quadrilaterals
 Learn to construct a parallelogram
Theorems: Definitions of Polygon, Diagonal, Quadrilateral, Parallelogram,
Rectangle, Rhombus, Kite, Square, Trapezoid, and Isosceles Trapezoid.
HW: pg. 238 (3, 6 – 8, 14)

Math 3 Chapter 5 – Quadrilaterals and Parallel Lines January 6, 2014
Lesson 4 – 5.5 Properties of Quadrilaterals – Parallelograms
 Construct a parallelogram and discover the properties of one.
 Discover how to turn a parallelogram into a rectangle, rhombus, or square.
 Learn the properties of rectangles, rhombuses and squares
Theorems: Properties of Parallelograms, Rectangles, Squares and Rhombuses, One way of proving a rectangle, rhombus and square.
HW: Fill out the parallelogram, rectangle, square and rhombus part of your family tree. Fill in what you can for “proving quadrilaterals.” pg. 244 (1-6, 8)
Lesson 5 – 5.5 Properties of Quadrilaterals – Kites, Trapezoids, Isosceles Trapezoids
 Construct a kite and discover the properties,
 Construct a Trapezoid and discover its properties
Theorems: Properties of kites and trapezoids
HW: Fill out kites, trapezoids and isosceles trapezoids on the family tree. p. 244 (7, 10, 11, 12, 17, 23)
Lesson 6 – 5.6 Proving that a Quadrilateral is a Parallelogram
 Learn how to prove quadrilaterals parallelograms, we will draw these methods from the properties of parallelograms.
Theorems: All ways to prove a parallelogram
HW: Fill in what you can for “proving quadrilaterals” in your packet pg. 251 (1 – 3, 5, 11, 14, 17, 18)
Lesson 7 – 5.7 Proving that figures are Special Quadrilaterals
 Learn to prove special quadrilaterals from parallelograms; we will make great use of our family tree.
 Understand which quadrilaterals cannot be proved from parallelograms and how to prove them.
Theorems: Ways to prove rectangles, squares, rhombuses, trapezoids, and kites.
HW: Fill out the rest of your “proving quadrilaterals.” pg. 258 (2, 3, 6, 8, 10, 13, 14, 17) Begin wrapping up problem set
Lesson 8 – Group Practice
 Quiz on properties of quadrilaterals (using them and recognizing them)
 Work together on practice problems to solidify what you learned
HW: Finish Problem Set
Lesson 9 – Problem Set Due
HW: Study for test, begin review (suggested, find 10-15 problems that challenge you and work on them. Make sure to have your questions sorted out by review day).
Lesson 10 – Review Day
HW: Finish review packet, Study for Test
Chapter 5 Test