Honors Geometry; 10/10

We went over the parallel line proofs worksheet today to start class.  There will be a couple of proofs on the quiz tomorrow.  We then spent some time reviewing a few key concepts from the first part of the chapter before getting started on the review assignment.

Assignment:  Chapter 3 quiz review sheet


Properties of Parallel Lines

1.  If 2 parallel planes are cut by a third plane, then the lines of intersection are parallel.
2.  If a line is perpendicular to one of 2 parallel lines, then it is perpendicular to the other also.
3.  AIA
4.  corresponding
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

             1.                                                        1.  Given
             2.                                                        2.  def. of angle bisector
             3.   angle 1 congruent to angle 2        3.
             4.                                                        4.  transitive / substitution
             5.                                                        5.  If AIA congruent, then lines parallel