Thursday, October 13, 2016

Geometry; 10/13

Today's class was spent reviewing for the chapter 3 quiz tomorrow.  We went over a couple of proofs and some questions involving calculations with parallel lines.  We also reviewed the meaning of several vocab words and how they relate to parallel lines.  The rest of the period was spent working on the review assignment.  The answers to the review assignment appear below.

Assignment:  Chapter 3 quiz review WS

Chapter 3 quiz tomorrow



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


Angle calculation problems

19.  x = 4
20.  x = 7
21.  x = 8
22.  x = -7
23.  x = 9
24.  x = 5
25.  x = -6;  angles = 90
26.  x = 4;  angles = 85, 95
27.  x = 10;  angles = 60
28.  x = -9;  angles = 80, 100

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