Geometry; 2/28

We reviewed a few questions together from the chapter 8 review sheet at the beginning of class.  The students then spent the remainder of the period working on the chapter 8 quiz.


Assignment:  none;  extra credit puzzle option

Honors Geometry; 2/28

The students got back their chapter 8 test today and were given the opportunity to ask questions on any items they may have missed.  We then got started on our next unit of study -- circles.  We went over some basic drawings and terminology today.  Some of the terms are familiar to the students, while others are new.  These terms are necessary to work with the problems that are coming our way during this unit of study.

Assignment:  section 9-1;  page 330;  CE #1-11;  page 330-331;  WE 2, 5-15, 18

Geometry; 2/27

We spent some time reviewing combination problems involving special right triangles today as a review for our ch. 8 quiz tomorrow.  We also reviewed how to work with classifying triangles and similarity problems involving right triangles.  We worked 4-5 examples together before getting started on the review sheet.

Chapter 8 Quiz tomorrow.

Assignment:  Ch. 8 quiz review sheet

Similarity in Right Triangles

1.  10
2.  10 radical 2
3.  2 radical 30
4.  2 radical 5 over 5
5.  radical 3 over 3
6.  1/3
7.  12
8.  6
9.  8 radical 3
10.  x = 4;  y = 2 radical 5;  z = 4 radical 5
11.  x = 5 radical 2;  y = 5 radical 6;  z = 5 radical 3
12.  x = 15
13.  x = 12
14.  x = 8 radical 5
15.  x = 20
16.  x = 5 radical 2
17.  x = 10
18.  2.5 meters
19.  3 radical 2 cm
20.  40

Converse of Pythagorean Theorem

1.  acute
2.  obtuse
3.  acute
4.  right
5.  not possible
6.  right
7.  right
8.  obtuse
9.  right
10.  x = 11;  y = 11 radical 2
11.  x = radical 2;  y = 2
12.  x = 5;  y = 5
13.  x = 40;  y = 20 radical 3
14.  x = 3 radical 3;  y = 6 radical 3
15.  x = 4 radical 2
16.  x = 7 radical 3;  y = 60
17.  x = 2 radical 3 over 3;  y = 2 radical 3;  z = 4;  v = 4 radical 3 over 3
18.  8 radical 3
19.  24 radical 2
20.  30

The Pythagorean Theorem and its Converse

1.  5 in
2.  5 miles
3.  8.6 km
4.  14.1 miles
5.  2 radical 14
6.  8 radical 3
7.  2 radical 26
8.  radical 10
9.  right triangle;  225 = 225
10.  right triangle;  256 = 256
11.  acute triangle;  121 < 196
12.  acute triangle;  2352.3 < 2577.3
13.  yes
14.  yes
15.  obtuse
16.  acute
17.  obtuse
18.  right

Honors Geometry; 2/27

We collected our chapter 8 review materials at the beginning of the period.  The students then took the rest of the period to complete the chapter 8 test.


Assignment:  none;  extra credit puzzle option

Geometry; 2/24

We went through an entry task that focused on special right triangles before going over last night's homework.  We then took our second perfect squares quiz of this chapter.

Assignment:  Special Right Triangles worksheet  (#1-18 all)

Honors Geometry; 2/24

We spent time going over part of our chapter 8 review sheet today during the shortened periods.  At the end of the period, the 2nd review was handed out and the students got started working on it.

Test on chapter 8 on Monday, Feb. 27

Assignment:  Ch. 8 Review #2


Answers to 2nd page of Review Sheet #1

We went over the first page of the review sheet in class on Friday.

22.  x = 4 radical 2;  y = 4 radical 6;  z = 8 radical 2
23.  a.  r/t        b.  r/s        c.  s/t             d.  r/t
24.  cos 41 = y/15;    sin 49 = y/15
25.  tan 26 = 20/y;    tan 64 = y/20
26.  sin 40 = 8/y;     cos 50 = 8/y
27.  tan angle 1 = 8/5
28.  cos angle 1 = 6/10
29.  sin angle 1 = 7/25
30.  15 meters

Solving Right Triangles page

9.  AB = 17.9;  angle A = 63.4 degrees;  angle B = 26.6 degrees
13.  angle Z = 62.5 degrees;  XZ = 17.8;  XY = 15.8
15.  angle D = 59 degrees;  DE = 10.5;  DF = 20.4
18.  229.4 meters
19.  height going up:  21.8 ft;  height going down = 42.0 ft;  total height = 63.8 ft



Answers to review sheet #2

Special Right Triangles page

1.  acute
2.  obtuse
3.  acute
4.  right
5.  not possible
6.  right
7.  right
8.  obtuse
9.  right
10.   x = 11;  y = 11 radical 2
11.  x = radical 2;  y = 2
12.  x = 5;  y = 5
13.  x = 40;  y = 20 radical 3
14.  x = 3 radical 3;  y = 6 radical 3
15.  x = 4 radical 2
16.  x = 7 radical 3;  y = 60
17.  x = 2 radical 3 over 3;   y = 2 radical 3;  z = 4;  v = 4 radical 3 over 3
18.  8 radical 3
19.  24 radical 2
20.  30

Sine, Cosine, and Tangent Ratios page

1.  12/13
2.  5/13
3.  12/13
4.  12/5
5.  5/12
6.  5/13
7.  .0523
8.  .8660
9.  1.1106
10.  .9816
11.  19 degrees
12.  61 degrees
13.  68 degrees
14.  50 degrees
15.  36 degrees
16.  39
17.  12
18.  19
19.  48
20.  34
21.  x = 44;  y = 57
22.  x = 17;  y = 11

Trigonometry Application Problems

1.  24.1 km
2.  26.0 meters
3.  about 74 degrees
4.  a.  8.5 degrees   (about 9 degrees)      b.  about 4.7 feet
5.  angle A = 35.4 degrees;  angle C = 54.6 degrees;  side AB = 15.5

6.  angle Z = 31 degrees;  side XY = 12.6;  side YZ = 24.5

Geometry; 2/23

We continued our work with right triangles today by going over how to work with two different types of special right triangles.  The 45-45-90 triangle and the 30-60-90 triangles are both special cases that have a repeatable pattern.  We went over how to work with the shortcuts of this pattern in a variety of problems before getting started on the assignment.


Assignment:  section 8-4;  page 301;  CE #1-8;  page 302;  WE  #1-20