Honors Geometry; 10/8

We worked through the final two reasons of how to prove lines parallel today by showing how to use perpendicular lines and a third parallel line.  We also went through a few more parallel line proofs so the students could get more practice together in preparation for the quiz tomorrow.  The students then got started working on their review assignment.


Assignment:  Section 3.1 to 3.3 review sheet


Answers to review sheet

Properties of Parallel Lines

1.  If 2 parallel planes are cut by a 3rd plane, then intersecting lines are parallel.
2.  If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
3.  alt. interior angles
4.  corresponding angles
5.  same side interior angles
6.  none
7.  angles 1, 13, 15
8.  angles 2, 4, 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 || EC
2.  GE || AD
3.  GB || ED
4.  none
5.  GB || ED
6.  GB || ED
7.  AD || GE
8.  GB || ED
9.  GE || AD
10.  x = 9;  y = 22
11.  x = 21, y = 17
12.    Statements                                                         Reasons
          3.  angle 1 congruent to angle 2                    1.  Given
                                                                                 2.  def. of angle bisector
                                                                                 3.  given
                                                                                 4.  transitive property
                                                                                 5.  if AIA congruent, then lines ||

Geometry; 10/7

We wrapped up the last section of the chapter today by talking some more about how to plan proofs and what the parts of a proof are.  We went over three more together in class before getting started on the assignment.  Part of the assignment is a proof review, and the students will work on the rest of the review packet tomorrow.  The test is coming up on Friday, Oct. 9.


Assignment:  proof worksheet  #1-4;  section 2-6;  p. 63;  WE  #1-14 all

Honors Geometry; 10/7

We continued our work with parallel lines, angle pairs, and proofs today.  The topic today focused on how to prove lines parallel from the angle information we possess.  We went through 3-4 examples together after answering homework questions and then the students got started on their assignment.



Assignment:  Section 3-3;  pg. 87-88;  WE  #1-23 all

Geometry; 10/5

The students got back their chapter 2 quiz today before we got started on the lesson.  We continued our work with vertical, supplemental, and complementary angles today by going over a couple more calculation problems in addition to 2 proofs of how to work with these types of angles.

The students got started on their assignment towards the end of the period.


Assignment:  angle pair worksheet  +  page 53, WE  22, 23

Honors Geometry; 10/5

We continued our work with angles formed by parallel lines today.  We went through several homework examples before getting started with a drawing activity that helped students work on their knowledge of the different types of angles associated with parallel lines.  The students worked on the activity much of the period before getting started on their assignment.


Assignment:  section 3-1;  page 76-77;  WE  1-6 all, 21, 23-39 odd, 40-42 all

Geometry; 10/2

Today's topic dealt with calculations involving complementary, supplementary, and vertical angles.  These angle pairs are used widely in geometry, and today was the first time we began using calculations to figure them out quickly.  We went through several examples together and then got started on the homework.


Assignment:  section 2-4;  page 52-53;  CE  #10-19 all;    WE  #1-21 all

Honors Geometry; 10/2

We went over the test today in class before getting started on the next chapter.  Our lesson today dealt with parallel lines, intersecting lines, and skew lines.  The transversal line was also introduced, as were the different types of angles that are formed when a transversal intersects two parallel lines.  We went through several drawings together to show vertical angles, corresponding angles, alternate interior angles, and same-side interior angles.


Assignment:  section 3-1;  page 75-77;  CE  #1-10 all, 15-19 all;   WE  #7-17 all, 24-38 even