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Chapter 4
Honors Geometry 2007

 

Name _______________________

Terms/Definitions

1.  Detour Proofs

5.  Perpendicular Bisector

9.  Transversal

13.  Alternate Exterior Angles

2.  Midpoint Formula

6.  Plane

10.  Interior of a Figure

14.  Corresponding angles

3.  Distance

7.  Coplanar

11.  Exterior of a Figure

15.  Parallel lines

4.  Equidistant

8.  Noncoplanar

12.  Alternate Interior Angles

16.  Slope

 

Gray Box Procedures:  Procedure for Detour Proofs
 

Postulate:  A line segment is the shortest distance between two points.
 

Theorems:  Write out theorems 22, 23, 24, 25, 26, 27, 28, and 29 and prove them.
 

Constructions: 

Review ---->

  • Perpendicular Bisector (p. 668 #4)

  • Erecting a Perpendicular (p. 668 #5)

  • Dropping a Perpendicular (p. 669 #6)

New ---->

  • Parallel lines (p. 673 # 7)

  • Segment division (dividing a segment into n congruent parts (p. 674 # 8)

 

Notes from this Chapter:
Section 4.4 (Nov. 21) The Equidistance Theorems
Section 4.5 (Nov. 26) Slope and Parallel Lines (with PowerPoint)

Slope and Parallel Lines (without PowerPoint)

   

 


Friday, November 16         Section 4.1 Detours and Midpoints

Objectives:  You will be able to:

v      Recognize when a detour is needed in a proof.

v      Use detours in proofs

v      State and apply the midpoint formula

Homework:  Read and take notes on Section 4.1 (p. 169-172) and do p. 172 – 174 # 4, 5, 6, 7-9
Communicate it!  On a separate sheet of paper, write a paragraph explaining what a detour is and give an example - to hand in!

 

Monday, November 19        Section 4.1 (cont.) and Section 4.2         The Case of the Missing Diagram

Objectives:  You will be able to:

v      Organize the information in, draw diagrams for, and write proofs for problems presented in words.

Homework:  Reread 4.1 and read and take notes on Section 4.2 (p. 176-178) and do p. 175 # 15, 17 AND   p. 179 # 8, 9, 10-14
Communicate it!  On a separate sheet of paper, write a paragraph explaining how and where to find information when you need to provide a drawing when one is missing - to hand in!

 

Quick Quiz
4.1

Tuesday, November 20                Section 4.3            A Right Angle Theorem

Objectives:  You will be able to:

v      State theorem 23, a right angle theorem

Homework:  Read and take notes on Section 4.3 (p. 180-181) and do p. 182-183 #4, 8, 9, 10, 13, 14,
Communicate it!  On a separate sheet of paper, explain what we know about two angles which are both complementary and congruent.

 

Quick Quiz
4.2

 

 

Wednesday, November 21            Section 4.4    Equidistance Theorems  Vocab Due Today!

Objectives:  You will be able to:

v      Explain the meaning of distance, equidistant, and perpendicular bisector

v      Recognize the relationship between equidistance and perpendicular bisection

v      State and apply the two equidistance theorems

Homework:  Read and take notes on Section 4.4 (p. 184-187) and do p. 187-189 # 3, 6-11, 15, 18, 19, 21,22  & do the take-home quiz (also due MONDAY)

Communicate it!  On a separate sheet of paper, write a paragraph explaining what it means for a point to be equidistant from two points and give an example - to hand in!

Happy Thanksgiving

 

 

 

Take Home
Quiz
Due Today

Monday, November 26        Section 4.5 Introduction to Parallel Lines and              

                                               Section 4.6   Slope

Objectives:  You will be able to:

v      Recognize and explain planes, transversals, and parallel lines

v      Identify the pairs of angles formed by a transversal

v      Understand and explain the concept of slope

v      Relate the slope of a line to its orientation in the coordinate plane

v      Recognize the relationship between the slope of parallel and perpendicular

Homework:  Read and take notes on Sections 4.5 (p. 192-197) and 4.6 (p. 198-202) and do p. 202 – 204 # 4,6, 8, 14, 17 & Study for Quiz

PRACTICE TEST!

Communicate it!  On a separate sheet of paper, write a paragraph explaining the difference between alternate interior, alternate exterior and corresponding angles - to hand in!

 

Quick Quiz
4.3
& 4.4

 

 

Tuesday, November 27        QUIZ over 4.1 – 4.5    and Section 4.6 (cont.)

Homework:  Review problems on p. 206 – 209 # 9-11, 14, 16-18, 21 and do Hand-in Homework

 

 

Wednesday, November 28            Review for Chapter 4 

Test –tomorrow!

 

Thursday, November 29      - Chapter 4 Test

           

 

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This Page was Updated:
02/14/2010 02:45 PM

 

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Nancy Powell
BHS Lead Teacher - Math

© Copyright, 2009 Nancy Powell
BHS Mathematics Department