Wednesday, November 8, 2017

Geometry; 11/8

We practiced a couple more triangle proofs involving vocabulary words.  We also went over a couple of examples of "before and after" problems involving triangles.  The rest of the period was spent working on the chapter 4 quiz review sheet.

Chapter 4 quiz is tomorrow:

Assignment:  Chapter 4 quiz review


Some Ways to Prove Triangles Congruent

1.  angle U
2.  m of angle D
3.  segment SU
4.  segment UN
5.  triangle NSU
6.  triangle EDR
7.  triangle FAN
8.  angle D;  CPCTC
9.  segment BA;  segment BF
10.  SAS
11.  ASA
12.  none
13.  none
14.  SSS
15.  ASA
16.     1.  given      2.  vertical angle congruent     3.  SAS

Using Congruent Triangles

1.      1.  given
         2.  vertical angles congruent
         3.  SAS
         4.  CPCTC

2.     1.  given
        2.  if lines parallel, then corr. angles congruent
        3.  ASA
        4.  CPCTC
        5.  if corr. angles congruent, then lines parallel


3.  1.  given
     2.  def. of midpoint
     3.  reflexive
     4.  SSS
     5.  CPCTC
     6.  def. of angle bisector


Practice 14

1.  segment OP
2.  BI
3.  angle O
4.  m angle G
5.  triangle OTP
6.  triangle IGB
7.  sometimes
8.  always
9.  never
10.  SAS
11.  ASA
12.  none
13.  ASA
14.  none
15.  SAS

16.         statements                                     reasons
        M is midpoint of XY                      given
        XM congruent YM                        def. of midpoint
        XZ congruent YZ                          given
        ZM congruent ZM                         reflexive
       triangle XZM cong. tri. YZM        SSS
      angle XZM cong. to angle YZM     CPCTC
      ZM bisects angle XZY                     def. of bisect


Proof on back page

         statements                                     reasons
angle XZY cong. angle WZV               given
Z is midpoint of YV                              given
YZ is congruent to VZ                          def. of midpoint
angle Y and angle V are rt. angles        given
angle Y congruent to angle V               all right angles congruent
triangle XYZ congruent to tri. WVZ    ASA


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