Honors Geometry; 12/6

We answered several questions about the kites homework last night before getting started with our review for the chapter 5 test tomorrow.  We worked through 4 different problem types with partners to illustrate the different concepts from the chapter.  After the partner activity, the students then got started on their review assignment.


Assignment:  Chapter 5 Review assignment



Trapezoid and Kite Properties Review Sheet

1.  115
2.  88
3.  angle F = 60;  angle D = 120;  angle E = 120;  EF = 15
4.  bases:  YV and XW
     angle V = 70;  angle W = 110;  angle X = 110
5.  x = 124,  y = 56
6.  BC = 12;  DC = 4;  perimeter = 32
7.  a = 134
8.  JL = 22
9.  EG = 8.7
10.  x = 30
11.  x = 45;  y = 30;  w = 120
12.  x = 10;  y = 40
13.  x = 30;  y = 60;  z = 8.06
14.  x = 64;  y = 43

Geometry; 12/5

We turned in the chapter 5 quiz reviews to begin the period today.  The main task in class today was to take the chapter 5 quiz.

Assignment:  none;  extra credit puzzle option

Honors Geometry; 12/5

We covered our last quadrilateral today -- kites!  These shapes have 3 unique properties that we used to solve various types of problems and to complete our quadrilaterals chart.  We went over 3-4 calculation examples together before getting started on the homework.


Assignment:  Kites worksheet

Geometry; 12/4

We spent time in class today reviewing parallelogram proofs, parallelogram calculations, and working with systems of equations.  All three of these topics will be involved on the chapter 5 quiz tomorrow.


Assignment:  Chapter 5 Quiz review

Review Sheet Answers

1.  14
2.  20
3.  34
4.  24
5.  17
6.  12
7.  105
8.  75
9.  75
10.  26
11.  121
12.  59
13.  121
14.  49
15.  59
16.  33
17.  26
18.  72
19.  105
20.  68

21.    both pair of opposite sides are parallel
         both pair of opposite sides are congruent
         both pair of opposite angles are congruent
         both pair of SSI angles are supplemental
         both diagonals bisect
         one pair of sides is both congruent and parallel

Proof:

      Statements                                               Reasons
ABCD is a parallelogram                                given
DC congruent to AB                                   if parallelogram, opp. sides congruent
DO congruent to BO                                   if parallelogram, diagonals bisect
CO congruent to AO                                   if parallelogram, diagonals bisect
triangle DCO congruent to tri. BAO           SSS

vertical angles could also be used;  AIA could also be used

Ways to Prove that Quadrilaterals are Parallelograms

1.  14
2.  24
3.  53
4.  50
5.  6
6.  14
7.  20
8.  25
9.  43
10.  both pairs of opp. sides are congruent
11.  one pair of opp. sides is both parallel and congruent
12.  both pair of opp. sides are parallel
13.  diagonals bisect
14.  both pairs of opp. angles are congruent

15.  Proof.

1.  given
2.  CPCTC
3.  def. of midpoint
4.  def. of bisector
5.  if diagonals bisect, then PART is a parallelogram

Page 182;  #7

See answer in back of book

Honors Geometry; 12/4

We went through another shape today in our study of quadrilateral --- the trapezoid.  This shape only has 1 pair of opposite sides that are parallel, so the properties that it possesses are quite different from those of the parallelograms we have been working with.  We demonstrated what the midsegment of a trapezoid looks like and how to calculate it using the two bases.  We also went through the unique properties of an isosceles trapezoid.


Assignment:  section 5-5;  page 192-193;  WE #1-25 all

Geometry; 12/1

We spent time today reviewing the various concepts of the first part of the chapter by going over 4 different types of problems with a partner.  The students worked with a variety of drawings and calculations during the period before getting started on their assignment at the end of period.

Assignment:  Midsegments worksheet

Honors Geometry; 12/1

We continued our work with special parallelograms today, focusing on the calculation shortcuts using rhombi, rectangles, and squares.  We also demonstrated one proof that involved a rhombus to show how to use its properties.


Assignment:  section 5-4;  page 187-188;  WE  #11-28, 30