Honors Geometry; 9/22

We did some reviewing of the first part of chapter 2 today, going over the vocabulary words associated with deductive reasoning together, as well as going through an algebra proof and a geometry proof together.  The students then spent the majority of the period working on the review sheet for the quiz.  I will post the answers to the review sheet on this site later this afternoon so you can check your work.

Quiz on chapter 2  (section 2.1 to 2.3) tomorrow.


Assignment:  Chapter 2 review sheet


Review Sheet Answers:


If-Then Statements;  Converses

1.  a. 2x - 8 = 26      b.  x = 17
2.  a.  it is raining    b.  the grass is wet
3.  If m angle SRA = m angle ART, then ray RA bisects angle SRT,;    false
4.  If a number is divisible by 5, then it is divisible by 10;   false
5.  false:    if x > 8, then x squared > 64;  true
6.  true;      If angle 1 is obtuse, then m angle 1 = 135;   false
7.  If (x - 1)(x + 8) = 0, then x =1 or x= -8
     If x = 1 or x = -8, then (x - 1)(x + 8) = 0
8.  If the measures of two angles are =, then the angles are congruent
     If two angles are congruent, then their measures are equal.
9.  A drawing with three points in a plane that are non collinear.

Properties from Algebra

1.  Addition property of =
2.  division prop. of =
3.  multiplication prop. of =
4.  subtraction prop. of =
5.  division prop. of =
6.  distributive prop. =
7.  transitive property
8.  symmetric prop. =
9.  addition prop. =
10.  transitive prop.
11.  subtraction prop. =
12.  subtraction prop. =
13.  addition prop. =
14.  proof steps
        1.  given
        2.  reflexive prop. =
        3.  addition prop. =
        4.  segment addition postulate
        5.  substitution property / transitive

Proving Theorems

1.  def. of midpoint
2.  def. of angle bisector
3.  midpoint theorem
4.  angle bisector theorem
5.  midpoint theorem
6.  segment addition postulate
7.  angle addition postulate
8.  angle addition postulate
9.  def. of segment bisector /  def. of midpoint
10.  55
11.  65
12.  80
13.  9
14.  8
15.  4.5
16.  3.5
17.     given info;   word definitions;    postulates;    theorems


Algebra Proofs worksheet   (evens)