Wednesday, December 2, 2015

Honors Geometry; 12/3

We went over the homework today before going through 4-5 review questions in preparation for the test tomorrow.  After the review questions, the students then got started working on their review packet.

Assignment:  Chapter 6 Review packet

Chapter 6 Test tomorrow


Answer key:

Test 22

1.  true
2.  false
3.  false
4.  true
5.  false
6.  no
7.  yes
8.  no
9.   a.  If segment AB is not congruent to segment BC, then triangle ABC is not isosceles.
             False
      b.  If triangle ABC is not isosceles, then segment AB is not congruent to segment BC.
             True
10. a.   If a person is a gym teacher, then the person encourages sensible eating.
      b.  big circle representing sensible eating;  smaller circle inside larger circle representing gym teachers.
      c.  dot for Fran is located inside the smaller circle of gym teachers inside the larger circle.

Test 23

1.  a.  2      b.  16
2.  segment RS
3.  a.  G, E       b.  18
4.  angle N
5.  angle 1
6.  angle 2
7.  SSS inequality theorem
8.  DG is less than FG
9.  triangle DGF is not equilateral
10.    proof
                 Statements                                                Reasons
      ES is congruent to EP                                        Given
     m of angle S congruent to m angle EPS             base angle congruent in isos. triangles
    m angle EPS = m angle EPT + m angle TPS      angle addition postulate
    m angle EPS > m angle TPS                               property of inequality
    m angle S > m angle TPS                                    substitution
    TP > TS                                                               longer sides are opposite larger angles in triangles

Test 24

1.  false
2.  true
3.  true
4.  false
5.  true
6.   a.  If pts. X, Y, and Z are noncollinear, then XY + YZ does not = XZ
      b.  If XY + YZ does not = XZ, then pts. X, Y, and Z are noncollinear.
      c.  XY + YZ does not equal XZ
7.  <
8.  >
9.  >
10.  =
11.  <
12.   <   ,  >
13.  >
14.  =
15.  >
16.  angle L
17.  segment NO
18.  a.  HF       b.  SAS Inequality Theorem
19.  a.  FG       b.  triangle inequality theorem
20.  a.  HF       b.  longer side is opposite the larger angle in triangles
21.       fill in proof.
      1.                                                         1.  ext. angle is greater than either remote interior angle
      2.  segment DC congruent to segment BC       2.
      3.                                                         3.  base angles are congruent in isosceles triangles
      4.  m angle 1 > m angle BDC             4.  substitution property

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