Geometry; 12/16

We spent the first part of the period reviewing for the chapter 6 test tomorrow.  We went over 4-5 problem types together before we got started on the review sheet.  The review sheet is due tomorrow before we take the test.


Assignment:  Chapter 6 review sheet


Test 22

1.  A
2.  B
3.  D
4.  C
5.  no conclusion
6.  no conclusion
7.  Felp has no teeth
8.  Fang is not a beeble.
12.  =
13.  >
14.  <
15.  <
16.  =
17.  sometimes
18.  never
19.  always
20.  always

Inequalities for One Triangle

1.  yes
2.  yes
3.  no
4.  yes
5.  2 and 16
6.  0 and 30
7.  2x and 10x
8.  2 and 2k + 2
9.  angle 2
10.  angle 1
11.  angle 1
12.  segment AB
13.  segment DF
14.  segment GH
15.  c > a > b

Test 23

1.  angle B, angle A, angle C
2.  FE, DE, DF
3.  no
4.  yes
5.  no
6.  11, 41
7.  may be
8.  cannot be
9.  don't do
10.  AB
11.  DE
12.  HK
13.  angle 1
14.  angle 1
15.  angle 1
16.    D, B
17.  AB
18.  CA,  CB
19.  DC

Honors Geometry; 12/16

We worked through some final review and homework examples before getting started on the chapter 7 review in class.  The review is due tomorrow before we take the test on Chapter 7.


Assignment:  Chapter 7 review


Test 28

1.  5c2 / 7a2
2.  1/25
3.  2/9
4.  72
5.  2hs
6.  t + h / h
7.  g/s
8.  g/s  or  h/t
9.  10
10.  10
11.  4/3
12.  triangle DAC
13.  AA for similar triangles
14.  3:5
15.  AC,  AD,  CD
16.  15
17.  Proof
                           statements                                                 reasons
      AS perp. KT;  AS perp. SE                                       given
    angle K and angle S are rt. angles                               def. of perpendicular
   angle K congruent to angle S                                       all right angles congruent
  angle A congruent to angle A                                       reflexive
  triangle AKT similar to triangle ASE                          AA for similar triangles
  AK/AS = AT / AE                                                       corr. sides of sim. triangles are proportional
  AK / AT  =  AS / AE                                                   property of proportions

Test 27

1.  need CD = 10   or   DE = 2
2.  need AE parallel to BD or angle A congruent to angle B or angle E congruent to angle D
3.  BC, AE
4.  yes, by SSS similarity
5.  proportional lengths in triangles theorem
6.  a.  yes       b.  yes      c.  no      d. yes
7.  4
8.  12
9.  6.4
10.  12.5
11.  7.5
12.  60


Test 26

1.  yes
2.  yes
3.  no
4.  yes
5.  no
6.  SAS for similar triangles
7.  AA for similar triangles
8.  none
9.  none
10.  AA for similar triangles
11.  SSS for similar triangles
12.  Proof

        Statements                                                              Reasons
1.  angle 1 and angle 2 are complementary              Given
     angle 2 and angle 3 are complementary              Given
                                                                               2.  complements of same angle are congruent
                                                                             3.  reflexive
                                                                          4.  AA for similar triangles
                                                                       5.  corr. sides of similar triangles are proportional
                                                                   6.  property of proportions

Geometry; 12/15

We worked on inequalities between two triangles today by taking a look at the SAS and SSS Inequality theorems.  We went over several examples together before getting started on the assignment.


Assignment:  Inequality in 2 Triangles worksheet +  page 231;  WE  #1-8 all

Honors Geometry; 12/15

We wrapped up our study of similarity today by looking at how proportional lengths can be used to solve problems in a variety of types of figures.  From parallel lines to triangles to angle bisectors, we went through several different types of proportion problems together before getting started on the assignment.


Assignment:  Section 7-6;  page 272-273;  WE  #1-23 all;  skip 13, 14, 17-19

Geometry; 12/14

We continued our study of inequalities in geometry today by taking a look at the inequalities in one triangle.  We went through examples of how angles and side lengths are related and the calculations that can be used to determine the range of side lengths.  We did several examples together before getting started on our assignment.


Assignment:  triangle inequality worksheet +  page 222  WE  #7-12 all

Honors Geometry; 12/14

We continued our study of similar triangles today by taking a look at two more methods to prove triangles similar:  the SAS and the SSS theorems for similar triangles.  These methods involved looking at a few calculation examples and 2-3 proofs.  The students then got started on their assignment.


Assignment:  section 7-5;  page 264-265;  CE #1-6;  page 266-267;  WE  #1-10, 12, 13, 15, 16

Geometry; 12/11

We continued working with inequalities in geometry today by taking a look at inverses and contrapositives.  We reviewed the if...then statements that we had learned earlier in the year, and then added these two new terms into our study of geometry.


Assignment:  conditionals worksheet  (evens only) +  page 211,  WE 11-13

Honors Geometry; 12/11

The students got back their quiz today and we went over any questions they had together.  The lesson today focused on the AA postulate for similar triangles.  We did a couple of similarity proofs together, as well as some word problems involving similar triangles.


Assignment:  section 7-4;  page 257-259;  WE  1-19 all, 21, 24, 27

Geometry; 12/10

We started the next chapter today dealing with inequalities in geometry.  We went over how to work with algebraic inequalities and also what the properties of inequalities are in geometry.  We showed how to go through an inequality proof before the students got started on their assignment.


Assignment:  section 6-1;  page 205;  CE  #1-19 all;  page 206;  WE  #1-7 all

Honors Geometry; 12/10

We went over our review sheet today and then took the chapter 7 quiz in class.


Assignment:  extra credit puzzle option

Geometry; 12/9

We took the chapter 5 test on quadrilaterals and parallelograms in class today.  There was an extra credit puzzle option for the students to work on after the test.



Assignment:  extra credit puzzle option

Honors Geometry; 12/9

We went over our Chapter 6 test today in class.  We also answered any homework questions the students had in regards to their homework assignment on similar figures and scale factors.  The rest of the period was spent working on a review sheet in preparation for the chapter 7 quiz tomorrow.


Assignment:  Section 7-1 to 7-3 review sheet

Geometry; 12/8

We went over the homework from our trapezoids assignment before going through 3-4 review problems in preparation for the test tomorrow.  The students then used the rest of the period to work on their review sheet.  The answers to the review sheet appear in the space below.


Assignment:  Chapter 5 review sheet


Trapezoids

1.  16
2.  17
3.  4
4.  8
5.  2
6.  78
7.  angle DEF = 63 and angle D = 117
8.  angle B = 72 and angle C = 108
9.  EF = 13
10.  DC = 15
11.  angle A = 65, angle D = 115, angle C = 115
12.  angle B, angle CFE, angle DEF
13.  LM = 10,   GH = 15
14.  JK = 6, GH = 18
15.  x = 12
16.  LM = 24, JK = 12
17.  JK = 2x,   x = 1.2

Special Parallelograms

1.  T
2.  F
3.  F
4.  F
5.  F
6.  F
7.  rectangle
8.  rhombus
9.  rhombus
10.  square
11.  rhombus
12.  17
13.  15.5
14.  17
15.  angle TZW = 70,  angle WTZ = 40
16.  35
17.  90
18.  90
19.  55
20.  70
21.  110
22.  25
23.  9
24.  18
25.  LA = 13;  AO = 13
26.  LO = 17;  LS = 8.5
27.  angle ACO = 45;  angle CLA = 90

Honors Geometry; 12/8

We went over our assignment from yesterday before getting started into our lesson today which focused on what the term "similarity" means.  We went through several examples of what similar polygons look like and and how to solve problems using the ratios involved in similarity.  We took a look at what a scale factor is and how this factor can be used to calculate both sides and perimeters of two similar polygons.


Assignment:  section 7-3;  page 250-251;  WE  #1-27 all

Geometry; 12/7

We began our last section of the quadrilateral chapter today by taking a look at trapezoids and how they are constructed.  We went through the definition of the trapezoid and how to do a variety of calculations involving both base angles and the midsegments of trapezoids.  The students then got started on their assignment.


Assignment:  section 5-5;  page 192-193;  WE  #1-18 all

Honors Geometry; 12/7

We began our work on chapter 7 today by working through a review on ratios and proportions.  The lessons focused largely on algebra skills and how cross multiplication can be used to solve a variety of ratio and proportion problems.

Assignment:  section 7-1;  page 243-244;  WE  #1-31 odd
                        section 7-2;  page 247-248;  WE  #1-35 ;  skip every 3rd problem

Geometry; 12/4

We continued working on our special parallelogram properties of rectangles, rhombi, and squares.  We went over some true/false practice questions together and then demonstrated how to work through some calculation problems.  The students then got started on their assignment.


Assignment:  Special Parallelograms worksheet

Honors Geometry; 12/4

We turned in the chapter 6 review today before taking the chapter 6 test in class.


Assignment:  extra credit puzzle option

Geometry; 12/3

We continued our work with parallelograms today by going over the various properties of rectangles, rhombi, and squares.  There were several examples that we took a look at and used the information to further build up our quadrilateral chart from last week.  The students then got to work on their assignment for the day.


Assignment:  section 5-4;  page 186;  CE  #1-6, 8-10
                                            page 187;  WE  #1-12; 14-16

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

Geometry; 12/2

Today we were on a two hour delay schedule due to snow overnight.  After turning in their review sheet, the students then got started on their Chapter 5 quiz today in class.  There was an extra credit puzzle option after the quiz if students chose to take it.


Assignment:  none

Honors Geometry; 12/2

We had a two hour delay today so worked on a shortened lesson.  The topic today focused on how to work with inequalities between two triangles.  The SAS and SSS Inequality Theorems were shown and discussed in the context of drawings and proofs.  Both of these theorems are versions of what is called the Hinge Theorem.

Assignment:  section 6-5;  page 230;  CE  #1-8;  page 231;  WE  #1-11

Geometry; 12/1

Welcome to December!  We went over our homework together before taking a look at a few examples of parallelogram proofs in preparation for the quiz tomorrow.  We also went through 2-3 examples of how to solve for 2 variables at once by using the elimination of a variable in a system of equations.  The students then got started on their review sheet.

Assignment:  Chapter 5 Quiz review sheet;   only do the odd numbered problems.


Answers to review sheet;

page 1.

1.  x = 8;  y = 10; z = 10
3.  x = 20
5.  x = 31
7.  x = 60;  y = 140
9.  x = 50

Page 2

1.  true
3.  true
5.  x = 20;  y = 10
7.  15
9.  6
11.  84
13.  72
15.  16
17.  2

Page 3

1.  yes, both diagonals bisect
2.  no, only one pair of sides are parallel
3.  no,  one pair of sides is not parallel
4.  yes;  one pair of sides is both congruent and parallel
5.  yes;  both pairs of opposite angles are congruent
6.  no;  only one pair of sides congruent
7.  no;  only one pair of sides congruent
8.  yes;  both pairs of opposite sides are parallel
9.  x = 20;  y = 12
11.  x = 1
13.  x = 20
15.  x = 6
17.  x = 3
19.  x = 8

Page 4

21.  choice E
23.  choice A
25.  choice B or choice C
27.  plot points on graph
29.  choice C
31.  choice B or choice E

Honors Geometry; 12/1

We continued our work with inequalities in geometry today by going through the topic of inequalities in one triangle.  We took at look at the inequality relationships between sides and angles in one triangle, as well as the range of values that are possible in each triangle.  We went through several examples together of the Triangle Inequality Theorem before getting started on the homework assignment.


Assignment:  section 6-4;  page 221;  CE  #1-12;  p. 222-223;  WE  #1-16, 19