Tuesday, October 10, 2017

Honors Geometry; 10/10

We spent time today in class going over any questions the students had on their parallel lines proofs worksheet.  We then worked through a partner activity involving 10 different review problems that seat partners worked on together.  The students got started on their chapt. 3 quiz review sheet at the end of the period.  Chapter 3 Quiz tomorrow.


Assignment:  Ch. 3 Quiz review



Properties of Parallel Lines

1.  skip
2.  skip
3.  AIA
4.  corresponding angles
5.  SSI angles
6.  none
7.  angles 1, 13, and 15
8.  angles 2, 4, and 6
9.  angles 1, 3, 5, 7, 11, 13, 15
10.  angles 2, 4, 6, 8, 10, 12, 14, 16
11.  angle 11 = 55;  angle 15 = 55
12.  angle 4 = y;  angle 3 = 180 - y
13.  x = 70;  y = 90
14.  x = 15;  y = 40

Proving Lines Parallel

1.  GA parallel to EC
2.  GE parallel to AD
3.  GB parallel to ED
4.  none
5.  GB parallel to ED
6.  GB parallel to ED
7.  AD parallel to GE
8.  GB parallel to ED
9.  GE parallel to AD
10.  x = 9;  y = 22
11.  x = 21;  y = 17
12.   proof steps
        1.                                                1.  given
        2.                                                 2.  def. of angle bisector
        3.  angle 1 congruent angle 2      3.
        4.                                                 4.  transitive / subst.
        5.                                                 5.  if AIA congruent, then lines parallel

When Lines are Parallel

1.  AIA
2.  corr. angles
3.  SSI angles
4.  corr. angles
5.  angles 3, 6, 7
6.  angles 5, 8, 4, 1
7.  35
8.  55
9.  sometimes
10.  sometimes
11.  never
12.  sometimes
13.  always
14.  always
15.  BE parallel to CF
16.  CE parallel to DF
17.  AD parallel to EF
18.  BE parallel to CF
19.  none
20.  BE parallel to CF;  AD parallel to EF

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