Honors Geometry; 9/22

We spent time in class today reviewing the proof worksheet from last nights homework and going over a few more proofs together in preparation for Monday's quiz.  Once we did this, the students got started on their chapter 2 quiz review worksheet.


Assignment:  Chapter 2 quiz review


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)