SCHOOL CREED. I have faith in myself I have faith in my teachers I will accept my duties and responsibilities I will respect others and seek their respect I have self respect I have self control I can learn if I study hard I will learn because I will study hard I love myself - PowerPoint PPT Presentation
•I have faith in myself •I have faith in my teachers •I will accept my duties and responsibilities •I will respect others and seek their respect •I have self respect •I have self control •I can learn if I study hard •I will learn because I will study hard •I love myself •And loving myself •I'll be myself •And know myself` •I am the one who is talking •Balance •Order •Harmony •Reciprocity •Truth •Justice •Righteousness •Look around you •And behold us in our greatness •Greatness is a Panther Possibility •And you can make it yours!!!!!!!!!!! SCHOOL CREED
Transcript
•I have faith in myself •I have faith in my teachers •I will accept my duties and responsibilities •I will respect others and seek their respect •I have self respect •I have self control •I can learn if I study hard •I will learn because I will study hard •I love myself •And loving myself •I'll be myself •And know myself`
•I am the one who is talking •Balance •Order •Harmony •Reciprocity •Truth •Justice •Righteousness •Look around you •And behold us in our greatness •Greatness is a Panther Possibility •And you can make it yours!!!!!!!!!!!
Similar Polygons: Polygons with the same shape but different in size are proportional. (Page 289)
A B
CD
E F
GH
Scale Factor: The ratio resulting in the comparison of two lengths
48
48
= … a scale factor of 12
(we simply reduce)
ADCD
= EHGH
8
16
48
= 8 16
64 = 64
Chapter 6 & 7 Vocabulary
Angle Angle (AA) Postulate: If two angles of 2 triangles are congruent, then the triangles are similar. (Page 298)
3rd Angle Theorem and Angle Sum Theorem
Chapter 6 & 7 Vocabulary
SSS Similarity: If the measures of the corresponding sides of 2 triangles are proportional, then the triangles are similar. (Page 299)
3
4
5
6
8
10
34
= 6 8
36
= 4 8
Chapter 6 & 7 Vocabulary
SAS Similarity: If the measures of 2 sides of a triangle are proportional to 2 sides of another triangle, and the included angles are congruent, then the triangles are similar. (Page 299)
4
5
8
10
45
= 8 10
Chapter 6 & 7 Vocabulary
Triangle Proportionality Theorem and it’s Converse:
A line parallel to another side of a triangle intersecting the sametriangle separates the triangle into proportional segments. (Page 307, 308)
8
106
8
53
3 5
33
= 5 5
Mid-segment Theorem: (Page 308)
A mid-segment of a triangle is parallel to one side of said triangleand has a length half that of the side to which it is parallel.
16
106
6 108
Chapter 6 & 7 Vocabulary
Chapter 6 & 7 Vocabulary
Proportional Perimeters Theorem:
If 2 triangles are similar, then the measures of their perimeters are proportional to the measures of the corresponding sides. (Page 316)
8
106
53
624
= 3 12
472 = 72
Chapter 6 & 7 Vocabulary
Similar Triangle Theorem #1:
If 2 triangles are similar, then the measures of their correspondingaltitudes are proportional to the measures of their corresponding sides. (Page 317)
=
6 = 6
Chapter 6 & 7 Vocabulary
Similar Triangle Theorem #2:
If 2 triangles are similar, then the measures of their correspondingangle bisectors are proportional to the measures of their correspondingsides. (Page 317) A
CBD
E
GFH
ADEH
= ABEF
Chapter 6 & 7 Vocabulary
Similar Triangle Theorem #3:
If 2 triangles are similar, then the measures of their correspondingmedians are proportional to the measures of their correspondingsides. (Page 317) A
CBD
E
GFH
ADEH
= ACEG
Chapter 6 & 7 Vocabulary
Iteration: Repeating the same process over and over again. (Page 317)
Chapter 6 & 7 Vocabulary
Fractal: A Geometric figure that is created using iteration. (Page 325)
Chapter 6 & 7 Vocabulary
Self Similar: Where we observe smaller portions of a shape or figure to possess the same geometric characteristics as the original figure. (Page 325)
Chapter 6 & 7 Vocabulary
Pythagorean Theorem: a2 + b2 = c2 (Page 350)
Pythagorean Triple: (Page 352)
3 4 5
5 12 13
Justification:
9 + 16 = 25
25 + 144 = 169
4 + 4 = 8
4 + 12 = 16
(45-45-90)
(30-60-90)
40o
63o 63o 117o
31.5o31.5o
55o < 65
o
9 > 5
6x = x + 9
5x = 9
x = 9 5
2 = y8 16
8y = 32
y = 4
8 = 65 x
8x = 30
x = 3.753 – 4 – 5 S.R.T.
15 = 3910 X + 10
15x + 150 = 390
15x = 240
x = 16
39 + 52 + 26 = 117
5 – 12 – 13 S.R.T.
30 – 60 – 90 S.R.T. 30 – 60 – 90 S.R.T.
45 – 45 – 90 S.R.T.180(n – 2)
n = 6
5 – 12 – 13 S.R.T.
180(n – 2)
n = 8
180(n – 2)
n = 5
180(n – 2) = 135o
n
n = 8
180o – 135
o = 45
o
180(n – 2) = 108o
n
n = 5
180o – 108
o = 72
o
Alternate Interior Angles are congruent
4x + 3 = 5x – 3– x = – 6 x = 6
(4x + 3)
(5x - 3)
180(n – 2) = 120o
n
n = 6
180o – 120
o = 60
o
4x + 3 = 5x – 3– x = – 6 x = 6
Opposite sides of parallelogramsare congruent
[or]
360o = 60o
6
Also worksfor #’s 23, 24
Diagonals of rectangles bisect each other
Consecutive Interior angles of parallelograms are supplementary
1 to 3
y to 15 ……….or
15/3 = 5 or simply, …
What number multiplied by 3 is equal to 15?
1 to 3
5 to (3)(5)…….or
3(5) = 15
Estimations
Answer: 1024 P-value: 68% Correct
2 10 20 20 10 2 64
What is the sum of the numbersin the 10th row?
STOP
6-1: Page 285-286, 12-35Homework Practice Quiz
The triangle shown below has angles A, B, C with a ratio of 1:2:3 respectively. What are the measuresof each angle?
A salesman sold 720 computers during the monthsof January, February and March at a ratio of 2:3:4respectively. How many computers did he sell duringeach month?
