Honors Geometry; 9/30

We worked through some review questions together in preparation for the chapter 2 test tomorrow.  We covered one more 2 column proof together as well as some of the wording involved with the theorems with perpendicular lines.  After this, the students spent the rest of the time working on their chapter 2 review packet.  The answers to this packet appear below.

Assignment:  Chapter 2 review packet


Test 6   Supplementary Test

1.  C      2.  E     3.  G     4.  F     5.  K      6. L       7. J       8.  D       9. H      10.  M     11.  E
12.  G     13.  B     14.  P      15.  F       16.  D       17.  angle ABF    
18.  angle ABH and angle EBC  or  angle ABE and angle CBH
19.  angle BEC  and angle CED
20.  25

Test 7    Theorems about Angles and Perpendicular Lines

1.  congruent     2.  acute      3.  right     4.  obtuse     5.  105       6.  90 - 3y    
7.  angle DEB and angle DGE      8.  angle 3 and angle 2     9.  angle EGD and 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 acute adjacent angles are perpendicular, then angles are complementary
        4.  given
        5.  same reason as #3
        6.  given
        7.  complements of congruent angles are congruent


Test 8     Chapter 2 Test

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.  (algebraic proof steps)
     1.  given
     2.  distributive property
     3.  addition prop. of equality
     4.  subtraction prop. of equality
     5.  division prop. of equality

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
10.  55
11.  58
12.  52
13.  70
14.  32
15.   a.  13     b.  75
16.  If lines are perpendicular, then they meet to form right angles
       If 2 lines meet to form right angles, then they are perpendicular
17.  (proof steps)
         1.  Given
         2.  measure of angle 1 plus measure of angle 2 = 90
         3.  angle addition postulate
         4.  substitution property of equality
         5.  segment AB is perpendicular to segment BC
         6.  def of perpendicular lines
         7.  substitution / transitive

18.             Statements                                                          Reasons

      1.  angle 3 and angle 4 are supplemental                          Given
      2.  measure angle 3 + measure angle 4 = 180                   def. of supplemental
      3.  measure angle 1 + measure angle 4 = 180                   angle addition postulate
      4.  angle 3 + angle 4 = angle 1 + angle 4                          substitution / transitive
      5.  measure angle 4 = measure angle 4                             reflexive
      6.  measure angle 3 = measure angle 1                             subtraction prop. equality
      7.  angle 3 congruent to angle 1                                       def. of congruent
      8.  angle 3 congruent to angle 2                                       vertical angle congruent
      9.  angle 1 congruent angle 2                                           substitution / transitive