Geometry; 1/5

We continued working on inequalities between two triangles today by showing a few more complex diagrams and then demonstrating how to write an inequality proof.  These are significantly shorter than regular triangle proofs and there are only two different options.  We demonstrated this concept a few times together before getting started on the chapter 6 review worksheet in class.  Chapter 6 test is tomorrow.

Assignment:  Chapter 6 Review Sheet

Review Sheet Answers:

Page 1

1.  yes
2.  yes
3.  no
4.  yes
5.  no
6.  no

7.  true
Contrapositive:  If angle A and angle B are not supplements, then they are not right angles;  true
Converse:  If angle A and angle B are supplements, then they are right angles;  false
Inverse:  If angle A and angle B are not right angles, then they are not supplements;  false

8.  a.  no conclusion
     b.  we go on a picnic
     c.  no conclusion
     d.  the sun did not shine

1.  angle J,  angle K,  angle L
2.  angle L, angle M, angle k
3.  angle P, angle R, angle Q
4.  angle V, angle U, angle T

Page 2

5.  large:  angle C;  small:  angle B
6.  large:  angle Y;  small:  angle X
7.  large:  angle U;  small:  angle W
8.  large:  angle F;  small:  angle G, angle E
9.  GE  FG  EF
10.  LM   LN   MN
11.  VX   WX   VW
12.  TU    ST    SU
13.  long  AC;  short BC
14.  long  EF, ED;   short FD
15.  long  DE;  short EF
16.  long  KM;  short  KL

Page 3

1-12 :  all answers are yes except #2  (no)

13.  4 < x < 14
14.  3 < x < 13
15.  4 < x < 16
16.  3 < x < 15
17.  3 < x < 19
18.  3 < x < 25

Page 4

9.  angle 2
10.  angle 1
11.  angle 1
12.  AB
13.  DF
14.  GH
15.  c > a > b

9.  angle 1 < angle 2;    angle 3 > angle 4
10.  AB > AC
11.  angle 1 > angle 2
12.  AE > CD