Monday, June 11, 2018

Friday, June 8, 2018

Geometry; 6/8

We continued to work on the reviews for the final today in class.  Answers will be posted for the reviews later in the weekend.


Assignment:  Final reviews #1, #2, and #3

Review #1

1.  triangle QRS
2.  AB/QR  =  10/15
3.  AB / QR = x / 9 = 14 / 21
4.  x / 9 = 14 / 21          x = 6
5.  x = 11.25;    angles 45, 56.25, 78.75
6.  x = 10.7
7.  XY  -->  YZ -->  XZ
8.  1/3
9.  x = 5
10.  y = 3.3
11.  3/5
12.  20
13.  27
14.  10
15.  a. BC    b. BC    c. BD
16.   not possible
17.  triangle ABC similar to triangle HBJ;  SAS
18.  triangle ABC similar to triangle AFG;  SAS
19.  triangle ABC similar to triangle EDF;  SSS
20.  triangle ABC similar to triangle STC;  AA
21.  no conclusion
22.         statement                                              reasons
AB parallel to CD                                      given
BC parallel to AE                                       given
angle B congruent to angle D                   if lines parallel, AIA congruent
angle CBD congruent to angle AEB        if lines parallel, AIA congruent
triangle ABE similar to triangle CDB     AA for similar triangles
BC/EA = BC / EB                                   corr. sides of sim. triangles proportional
BC * EB = EA * BD                               cross multiply

23.  y = 8;  x = 8 radical 5;  z = 4 radical 5
24.  x = radical 41
25.  x = 12
26.  altitude = 3 radical 3
27.  obtuse
28.  acute
29.  right
30.  not a triangle
31.  x = 20  ;  y = 20 radical 3
32.  x = 9
33.  x = 10;  y = 10 radical 2
34.  x = 3 radical 3
35.  angle A, angle C, angle B
36.  EF ,  DF,  DE

Review #2

37.  BW = 13;  RB = 7.5;  RW = 10.6
    angle B = 54.8;  angle R = 90;  angle W = 35.2
38.  x = 60
39.  x = 28.6
40.  x = 1382.2 feet
41.  60
42.  240
43.  60
44.  300
45.  J
46.  E
47.  B
48.  A
49.  G
50.  I
51.  H
52.  C
53.  D
54.  F
55.  arc CDA
56.  angle BAD
57.  100 degrees
58.  40 degrees
59.  75 degrees
60.  sketch
61.  sketch
62.  sketch
63.  sketch
64.  130 degrees
65.  8
66.  34 degrees
67.  6
68.  x = 4
69.  146 degrees
70.  40 degrees
71.  8
72.  70
73.  80
74.  30
75.  70
76.  75
77.  25
78.  120
79.  50
80.  46
81.  area = 309.1
82.  100 radical 3
83.  405
84.  384 radical 3
85.  75

Review #3

86.  28
87.  98
88.  area = 615.4;   circumference = 87.9
89.  arc = 2 pi
90.  4 / 49
91.  perimeter = 98;  area = 24
92.  a. 1/100;  b.  6/25
93.  not possible
94.  yes
95.  a.  angle JKM     b. angle MKL    c.  angle JMK
96.  angle 2 greater than angle 1
97.  angle LPM greater than angle NPM
98.  B = 121 pi ;  LA = 220 pi  ;  TA = 462 pi ;  Vol. = 1210 pi
99.  B = 24  ;  LA = 96   ;  TA = 144 ;  Vol. = 96
100.  a.  area = 900 pi         b.  volume = 4500 pi
101.   a.  r = 7;   b.  LA = 238 pi
102.  r = 9
103.  a.  2/5     b.  4/25        c.  24.6 pi
104.  a.  3/4      b.  x = 32      c.  27 pi
105.   yes, they are similar;  they both have the same scale factor
106.    a.  7/10       b.  343 / 1000


Thursday, June 7, 2018

Honors Geometry; 6/8

We continued our work on the semester finals reviews.

Answers appear below.

Review Packet #3:  MC practice test

1.  A
2.  C
3.  C
4.  B
5.  C
6.  D
7.  B
8.  A
9.  D
10.  B
11.  A
12.  C
13.  D
14.  D
15.  A
16.  B
17.  A
18.  A
19.  D
20.  C
21.  D
22.  D
23.  A
24.  C
25.  D
26.  A
27.  B
28.  C
29.  B
30.  A
31.  A
32.  A
33.  C
BREAK
31.  C
32.  B
33.  A
BREAK
41.  C
42.  D
43.  B
44.  B
45.  B
46.  C
47.  B
48.  A

Geometry; 6/7

worked on semester finals review in class.

Honors Geometry; 6/7

The students worked on their finals review packets in class today.  Answers appear below.

Circle Review Questions

1. J
2. E
3. B
4. A
5. G
6. I
7. H
8. C
9. D
10. F
11.  arc CDA
12.  angle DAB
13.  100
14.  40
15.  75
16.  130
17.  8
18.  34
19.  6
20.  146
21. 40
22.  8
23.  70
24.  80
25.  30
26.  70
27.  75
28.  25
29.  120
30.  50
31.  x = 4
32.  46

Review #2:  MC practice test

1.  C
2.  A
3.  B
4.  A
5.  D
6.  A
7.  E
8.  C
9.  D
10.  B
11.  D
12.  A
13.  C
14.  E
15.  D
16.  C
17.  C
18.  C
19.  C
20.  B
21.  D
22.  E
23.  D
24.  C
25.  D
26.  B
27.  C
28.  A
29.  C
30.  B
31.  C
32.  B
33.  B
34.  D
35.  B
36.  C
37.  D
38.  C
39.  B
40.  E
BREAK
40.  A
41.  B
42.  E
43.  D
44.  B
45.  D
BREAK
39.  A
BREAK
49.  B
50.  C
BREAK
50.  D
51.  D
52.  B
53.  C
54.  A
55.  C
56.  A

Wednesday, June 6, 2018

Geometry; 6/6

We spent today going through our first finals review.  We went over similarity proofs and similarity in right triangles problems.  The students then spent the majority of the period working on their Finals Review #1


Assignment:  Finals Review #1

Honors Geometry; 6/6

We took the chapter 14 test on transformations today in class. 

Assignment:  1st review packet for the final

Tuesday, June 5, 2018

Geometry; 6/5

We turned in the chapter 12 entry tasks and review assignment to start the period.  The remainder of the period was spent taking the chapter 12 test.


Assignment:  none;  extra credit puzzle option

Honors Geometry; 6/5

Today's work focused on reviewing the 4 transformations that we have covered in this chapter and going over how to work with a couple new types of rotation diagrams.  Much of the period was spent working on the chapter 14 review in preparation for the test tomorrow.


Assignment:  Chapter 14 Review packet

Geometry; 6/1

Our topic today was working with similarity between solid objects.  We used some skills from our previous chapter to find both the area ratios and the volume ratios of various shapes to see how they relate to the scale factor.  We went through 3-4 examples before getting started on the assignment.

Assignment:  section 12-5;  page 510;  CE 6-11;  page 511;  WE 1-8, 10, 11

Monday, June 4, 2018

Geometry; 6/4

We spent a little more time today working on similar objects and scale factors.  We set up several different types of ratio problems together in which the students had to find the scale factor first.  We worked through these together before getting started on the chapter 12 review sheet.


Assignment:  Chapter 12 review sheet


Review Sheet Answers:

1.   B = 276.3;  LA = 650;  TA = 1202.6;  Vol. = 2763
2.  B = 7.0;  LA = 37.2;  TA = 51.2;  Vol. 21.7
3.  slant height = 15.2;  B = 113.0;  LA = 286.4;  TA 399.4;  Vol. 527.5
4.  slant height = 17;  B = 256;  LA = 544;  TA = 800;  Vol. 1280
5.  B = 7.5;  LA = 288;  TA = 303;  Vol. = 135
6.  B = 1808.6;  LA = 3165.1;  TA = 6782.4;  Vol. = 37981.4
7.  slant height = 25
8.  height = 6
9.  height = 6
10.  TA of hemisphere = 108 pi  (done together in class)

Back Page:  Similar Solids

1.  a. 144 pi      b.  288 pi
2.  a.  9 pi         b.  4.5 pi
3.  3
4.  32 pi / 3   
7.  yes
8.  a.  1:3     b.  1:9      c.  1:3         d.  1:27

Honors Geometry; 6/4

Our topic of study today was how to determine line and rotational symmetry in various types of figures.  We went over several different pictures and figures to establish a pattern for both lines of symmetry and rotational order.  The students then got started on their assignment.


Assignment:  Line Symmetry and Rotational Symmetry packet

Friday, June 1, 2018

Honors Geometry; 6/1

We continued our work with transformations today by taking a look at how to compose two different types of transformations.  The notation was introduced, as was the order in which the transformations take place.  We went through a few examples together before getting started on the homework assignment.


Assignment:  Translations/Dilations review + page 603-604;  WE 5, 6, 17-23