Honors Geometry; 10/2

We went over our first review sheet and answered any questions that the students had on their homework proofs.  We then worked through a "pass the proof" activity in which students had limited time access to 5 different proofs as we practice and worked on them together.  The students then got started on their 2nd review sheet in preparation for the chapter 2 test tomorrow.


Assignment:  Chapter 2 review #2


Test 7 Answers

1.  congruent
2.  acute
3.  right
4.  obtuse
5.  105
6.  90 - 3y
7.  angle DEB;  angle DGE
8.  angle 3,  angle 2
9.  angle EGD,  angle DGB
10.  angle 1
11.  a.  40       b.  50
12.  angle 7 is congruent to angle 9
13.  complementary
14.  proof steps.
        1.  given
        2.  def. of perpendicular lines
        3.  if ext. sides of 2 adjacent acute angles are perpendicular,
             then the two angles are complementary
        4.  given
        5.   if ext. sides of 2 adjacent acute angles are perpendicular,
             then the two angles are complementary
        6.  given
        7.  complements of congruent angles are congruent themselves

Test 8 Answers

1.  a.  angle 1 and angle 2 are right angles
     b.  angle 1 is congruent to angle 2
     c.  If angle 1 is congruent to angle 2, then angle 1 and angle 2 are right angles.
     d.  false
2.   proof reasons
      1.  given equation
      2.  distributive property
      3.  addition prop. of =
      4.  subtraction prop. of =
      5.  division prop. of =
3.  a.  angle FGE and angle HGI
     b.  angle EGJ and angle IGJ
     c.  angle EGF and angle FGJ
4.  midpoint theorem
5.  def. of perpendicular lines
6.  reflexive
7.  angle bisector theorem
8.  def. of complementary angles
9.  adjacent angles
10.  55
11.  58
12.  52
13.  70
14.  32
15.  a.  13     b.  75
16.  If two lines are perpendicular, then they meet to form right angles.
       If two lines meet to form right angles, then they are perpendicular.
17.   proof statements
          1.                                                   1.  given
          2. m angle 1 + m angle 2 = 90      2.
          3.                                                   3.  angle addition post.
          4.                                                   4.  subst. / transitive
          5.  AB perpendicular to BC          5.
          6.                                                   6.  def. of perpendicular
          7.                                                   7.  substitution / transitive

18.  proof statements
          1. angle 3 and 4 are supp.             1.  given
          2. m angle 3 + m angle 4 = 180    2.  def. of supplemental
          3. m angle 1 + m angle 4 = 180    3.  angle addition post.
          4. angle 3 + angle 4 = angle 1 + angle 4      4.  subst. / transitive
          5. angle 4 = angle 4                      5.  reflexive
          6. angle 3 = angle 1                      6.  subtraction prop. =
          7. angle 3 = angle 2                      7.  vertical angles =
          8.  angle 1 = angle 2                     8.  substitution / trans.
          9.  angle 1 congruent to angle 2   9.  def. of congruent