Thursday, December 14, 2017

Geometry; 12/14

We started a new chapter today -- coordinate geometry.  We are skipping ahead to chapter 13 and we will return to pick up the other chapters during the next semester.

Our topic today was how to use the distance formula in working with straight sided figures and circles.  We used the pythagorean theorem to find the distance formula, and then we also showed how the formula of a circle can be found.  We practiced with both types of problems before getting started on the assignment.


Assignment:  section 13-1;  page 526-527;  WE 5-12;  17-25

Honors Geometry; 12/14

Our work with inequalities focused on two different triangles today.  The inequality theorems between two triangles are known as the Hinge Theorems.  We showed how these two theorems work and how to use them to solve various types of drawing examples.


Assignment:  section 6-5;  page 230;  CE 1-8;  page 231-232;  WE 1-11

Geometry; 12/13

The students turned in their chapter 5 review materials and entry tasks to start the period today.  The remainder of the period was spent taking the chapter 5 test.


Assignment:  none;  extra credit puzzle

Honors Geometry; 12/13

Our topic for today involved working with inequalities in one triangle.  We went through the triangle inequality theorems to show how the range of side lengths can be determined in a triangle, as well as how to make comparisons between angles and sides in a single triangle.  The concept is fairly simple -- the longest side is always opposite the largest angle;  the shortest side is always opposite the smallest angle.  The students then got started on their homework assignment.


Assignment:  section 6-4;  page 222-223;  WE 10-16, 19
     Inequalities in 1 Triangle worksheet

Tuesday, December 12, 2017

Geometry; 12/12

We completed our quadrilaterals chart today by filling in the properties of kites that we had worked with yesterday.  We then worked through 2 problem types for the test together before getting started on the review sheet.  The students had the last half of the period to work on the chapter 5 review.  The chapter 5 test is tomorrow.


Assignment:  Chapter 5 Review sheet


Ch. 5 Practice

1.  true
2.  false
3.  false
4.  true
5.  false
6.  angle Q
7.  RQ
8.  7.5
9.  3.7
10.  trapezoid
11.  6
12.  x = 3;  DF = 18
13.  92,  88
14.  rectangle
15.  angle WXY congruent to angle WZY
16.  WX parallel to ZY  or WZ congruent to XY
17.  WX parallel to ZY  or WZ congruent to XY
18.  ZP congruent to PX

19.    statements                                               reasons
      XZ  segment                                         auxiliary line
      XZ congruent to XZ                             reflexive
     angle 1 congruent to angle 2                 if lines parallel, AIA congruent
     tri. WXZ cong. tri. YZX                       AAS
     WX congruent to ZY                            CPCTC
     WXYZ is parallelogram                       if one pair of sides both cong. and parallel,
                                                                   then it is a parallelogram

Quadrilaterals

1.  92, 88
2.  10
3.  2
4.  3
5.  13.4
6.  90
7.  angle HEF congruent to angle HGF
8.  EF parallel to HG   or EH congruent to FG
9.  EF parallel to HG   or EH congruent to FG
10.  I is the midpoint of HF
11.  A, 13
12.  24
13.  trapezoid
14.  median / midsegment
15.  isosceles trapezoid
16.  18
17.  80, 80
18.  rectangle
19.  rhombus
20.  isosceles trapezoid

Trapezoids

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

Honors Geometry; 12/12

We continued our work with inequalities in geometry today by taking a look at what the phrases are that are used with inequalities.  We learned how to write inverses and contrapositives in our lesson today, and went over how to make conclusions from these different types of statements.  We also demonstrated how to illustrate an inequality problem with a venn diagram.

Assignment:  Section 6-2;  pg. 210-212;  WE 1-18

Monday, December 11, 2017

Geometry; 12/11

We reviewed the various properties of trapezoids today before taking a look at the last quadrilateral we will study --- kites.  We went over the 2-3 properties of kites and then how to use these properties in calculations.  The students spent the last part of the period working on their assignment.


Assignment:  Kites worksheet