3rd Six Weeks 2014-2015
MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
Nov 9
10
11
12
13
6-1 Angle Measures
in Polygons
Class: Wksht #1
6-2 Properties of
Parallelograms
Class: Wksht #2
6-3 Proving
Parallelograms
Class: Wksht #3
6-3 Proving
Parallelograms
Class: Wksht #3
Quiz Chapter 6
sections 1-3
Class: Review
HW: Watch video
6-2, take notes
HW: Watch video
6-3, take notes
HW: Complete
classwork
HW: Complete
Classwork
HW: Watch video 64/6-5, take notes
16
17
18
19
20
6-6 Trapezoids and
Kites
6-6 Trapezoids and
Kites
Guess the
Quadrilateral Quiz
6-4/6-5 Rhombus,
Rectangles, and
Squares
Test #7
HW:Review for Test
HW: Watch Video
6-6, Take Notes
HW: Watch video
Guess the quad, take
notes
HW: Watch video
Guess the quad,
take notes
Finish Guess the
quad
23
24
25
26
27
Review
Turn in Guess the
quad
Test #8
Thanksgiving
Thanksgiving
Thanksgiving
HW: Review
30
Dec 1
2
3
4
Chapter 9 Intro to
Proportions
9-1 Similar Polygons
9-3 Proving
Triangles Similar
9-3 Proving
Triangles Similar
9-5 Proportions in
Triangles
HW: Watch video
9-1, Take Notes
HW: Watch Video
9-3, take notes
HW: Watch Video
9-5, take notes
HW: Watch Video
9-5, take notes
HW: Complete
classwork, start
review
7
8
9
10
11
Review
Test #9
Final Exam Review
Scavenger Hunt
Final Exam Review
Scavenger Hunt
Final Exam Review
HW: Study Review
14
Final Exam Review
15
16
FINAL EXAMS
17
FINAL EXAMS
18
FINAL EXAMS
FINAL EXAMS
Problems of Proportional Difficulty
Solve each proportion for “x”. Do the work on your own sheet of paper, only record your answers on here.
1)
9
x

18
27
2)
2x  5 x  2

5
3
3)
16
12

3x  1 2x
4)
7
3

4x  4 x  5
5)
3x
7

x 3 2
6)
8  5x 4 x  9

4
3
7)
2x  1 x  5

4
5
8)
1 x 5

4
8x
9)
3
2

3x  3 x  3
10)
36
x

18
27
11)
x
3
 x 2
12)
4x
 2x  12
5
Find all the solutions for “x”. (The following problems are quadratics.)
13) x  1 
6
x
14)
21
x
x 4
15)
16)
7
x 4

x 2 x 2
17)
3
x 2

x 3 x 3
18)
19)
16 4 x

4x
9
20)
4
x 5

x 2
2
21)
x 2
6
x 3
2
5
x



6
x 2
2
x
3x
15
Solve the following problems
22) On a map the scale is 1.5 inches to 5 miles. If the distance measured on the map from
one town to another is 10.5 inches, then how many miles is the distance between towns?
23) A picture is 4 inches by 6 inches, and Amy wants to make an enlargement at a ratio of 2:5. What
are the measurements of the enlargement?
24) A model airplane of a P-38 Lightning is made at a scale of 1:48 inches. If the wing span of the
model is 5 inches what is the measure of the wing span of the real plane in feet?
25) Mr. Schroeder’s Mazda get 22.5 miles to a gallon of gasoline. If he needed to drive 320 miles oneway how much gas would he need, and if gas is $1.92 a gallon how much money for gas would he
need for a round trip.
26) The ratio of the measures of three sides of a triangle is 4:6:9, and its perimeter is 190 inches. Find
the measure of each side of the triangle.
27) In a triangle, the ratio of the measures of the three angles is 2:5:8, and its total angle measures is
180 degrees. Find the measure of each angle in the triangle.
Page 1
9-1 Exploring Similar Polygons
Name _______________________
If quadrilateral ABCD is similar to quadrilateral EFGH, find each of the following.
1) Scale factor of ABCD to EFGH?
2) EF = ______
4) GH = ______
3) FG = ______
5) Perimeter of ABCD?
A
6) Perimeter of EFGH?
B
25
E
6
H
12
8
F
y
z
G
C
20
7) Ratio of perimeter of ABCD to EFGH?
x
Each pair of polygons is similar. Find the values of “x” and “y”.
8)
18
30
20
24
9)
x
18
y
8
14
y
x
28
24
10) Triangle ABC is similar to triangle DEF find the value of “x” and “y”. What is the sum of
E
B
the perimeters of the triangles?
9
x
y
8
D
12
A
F
C
16
11) Quadrilateral ABCD is similar to quadrilateral EFGH. Find the value of “x”, “y”, and “z”.
What is the perimeter of each figure?
B
4
F y G
5
z
A
C
8
x
2
D
E
6
12) For the figures above, the sum of the measures of A and C equals the sum of the
measures of which two angles of quadrilateral EFGH?
13) Two rectangles are similar. The length of small rectangle is 4 and the length of the big
rectangle is 12. If the perimeter of the smaller rectangle is 28, then what is the perimeter
of the larger rectangle?
14) If two similar polygons have the perimeter of 36 and 21 inches. If the length of the side
of the larger rectangle is 4 inches, then what is the product of the lengths of the polygons?
Page 2
H
15) The ratio of the height of CDE to the height of similar triangle FGH is 3:5. The perimeter
of FGH is 25 cm. Find the perimeter of CDE .
16) If two parallelograms are similar with a ratio of 1:4 and the side of smaller one is 8 inches,
what is the measure of side of the other parallelogram?
17) A rectangle is 8 feet long and 4 feet wide. If model of the rectangle was made smaller
by a ratio of 1:4, then what would the perimeter of the model be?
What is the scale factor of the following similar figures? What would be the scale factor of the similar figures perimeter?
18)
19)
20)
6 cm
42 cm
4m
20 m
21)
23)
1.5 ft 4.5 ft
22)
24)
Page 3
9-2 Part A Practice Similar Triangles
State whether each pair of triangles is similar by AA Similarity, SSS Similarity, SAS Similarity. If none of these apply write
“N”.
1)
2)
21
3)
28
12
40
22
7.5
27
8
11
20
125
125
42
5
4)
7
5)
9
6)
37
74
13.5
11
4
39
21
15
6
129
7)
14
40
8)
66
9)
37
5
2.5
8
4
4.5
28
115
11)
12)
5
5
9
2
5
8
18
6
4
3
13.5
13)
14)
4
4
50
4
2
2
6
Page 4
30
75
10)
6
x
x
7.2
12
75
28
60
50
70
10
Identify Which property will prove these triangles similar (AA similarity, SAS Similarity, SSS Similarity)
15)
16)
17)
1
2
2
4
18)
19)
3
9
20)
6
6
9
3
3
4
2
9
21)
12
14
6
6
22)
10
7
4
23)
4
5
1
8
12
3
12
24)
25)
26)
3
2
9
6
Page 5
9-2 Part B Similar Triangles PAP
Page 6
17.
20.
18.
21.
19.
22.
23.
24.
25.
Page 7
26.
27.
28.
29.
30.
31.
32.
33.
34.
o
o
o
o
35.
36.
Page 8
9-5 Use Proportionality Theorem
Name _______________________________
Page 9
Use the figure below to answer questions 20-23. AB ll CD ll EF .
(Look for the triangles, or corresponding parts)
H
z
A
9
9
C
G
2
B
20) Find x.
21) Find y.
22) Find r.
23) Find z.
6
D
x
I
r
y
18
12
F
E
39
For 24-26, use ACE below to find “x” so that DB ll AE .
E
24) ED  8, DC  20, BC  25, AB  x , x= _______
A
D
C
B
25) BC  12, AB  6, ED  8, DC  x  4 , x= _______
26) ED  x  5, DC  15, CB  18, AB  x  4 , x= _______
27) Find the value of “x” and “y”.
x= _______
y= _______
Refer to the figure below for problems 7 and 8. Determine whether it is always true
that AB ll YZ under the given conditions. Answer yes or no, and be able to prove
why it is yes or no.
28) XA  6
AY  4
XB  8
BZ  5
29) XB  3
BZ  2
AB  6
YZ  10
X
B
A
Y
Page 10
Z
REVIEW for Test # 9 Pre-AP
Name: _______________________________
Period ________
Show all work to receive credit. Leave answers as an improper fraction.
Solve for “x”.
7
3
x
1.
2.  x  2

4x  4 x  5
3
3.
2 n 4

8 n 4
4.
3
x 2

x 3 x 3
Determine whether the two triangles are similar. If yes, state the reason that justifies your answer (AA~,SAS~,SSS~).
5.
6.
14
10
5
7
2
6
7.
8.
In problems 9 and 10, use the following diagram.
AB AG
AB AG


and
AC AF
CD FE
11
9. What is the length of AB ?
10. What is the perimeter of
ACF ?
Page 11
11.
Proportion for “x” ____________________
x = _______
12.
Proportion for “x” ____________________
x = _______
13. In XYZ , the measures of the angles are in the extended ratio of 5:6:7.
What are the measures of each angle?
14.
15.
Page 12
16. Find AB.
17. Find the value of x.
18.
19.
20. Your softball team can sell 150 candy bars in 5 days to raise money for new uniforms, at this rate, how many can you sell in 4
weeks?
21. What is the measure of one exterior angle of a regular heptagon?
22. Mike can write 2 pages of his final paper for history class in 1.5 hours. At this rate, how long will it take Mike to complete hi
page paper?
Page 13