Free Essay

Geom

In:

Submitted By jehpot17
Words 269
Pages 2
]
Second Quarter
Subject Matter Budget

Unit III- Similarity 1. Ratio and Proportion * Definition of ratio * Definition of proportion and its parts * Fundamental law of proportion * Proportional Segments 2. Proportional Theorems 3.1 Basic Proportionality Theorem and its converse 3. Similarity Between triangles 4.2 Similar figures 4.3 Similar polygons 4.4 Similar triangles 4.5 Similarity Theorems 4.6 Application 4. Similarities in a right triangle 5.7 Similarity theorem 5.8 Special right triangle * Isosceles right triangle * 30-60-90 triangle 5. Ratio between the perimeters and areas of similar triangle

Definition of Ratio
Ratio is a comparison of two numbers (by division).

Definition of Proportion
A Proportion is a statement of equality between two ratios. [a:b = c:d]

2nd law of proportions: Means-Switch Extremes law of proportion gInterchanging the means or interchanging the extremes of one proportion results in another proportion.

1st law of proportions: Means-extremes product law of proportion gIn a Proportion, the product of the means equals the product of the extremes.

lLaw of Proportionsl

3rd law of proportions: Invert Both Sides Law of Proportions gIf the terms of the ratios of a proportion are inverted, the result is also a proportion

Where a, b, c and D are nonzero real numbers.

4th law of proportions: Denominator-addition law of proportions

Where b ≠ 0, d ≠ 0.

6th law of proportions: Numerator-denominator sum law of proportion gThe ratio of the sum of the numerators to the sum of the denominators is equivalent to each ratios.

5th law of proportions: Denominator-subtraction law of proportions

Where b ≠ 0, d ≠ 0.

Similar Documents

Premium Essay

Definition Essay On Heroes

...people are looked as bad individual and is label as outlaws while those with powers and authority are treated and praised as gods. Unbalance society such as this are perfect examples of why many turns to thieves. Focusing my essay on how outlaws can still be consider heroic I base my essay on a particular hero who fought for revenge while shedding light and roofing the poor. For my fictional outlaw I decided to go with the protagonist of a Korean drama known as Iljimae. In the film, Geom who at a very young age witnesses the assassination of his biological father and later takes on the quest of seeking revenge for the death to his father. The truth behind Iljimae was originally base off of a comic strip about a hero who rose to save the people from depression and hardship during the Joseon Dynasty. Geom portrays the ideal heroic trait because of his pure loving heart for the poor and his bravery to withstand hardship through his journey for revenge. And sadly just like how most great heroes are made, Geom was not born a hero but was forced to become a heroism figure because of corruption and unstable government officials. Dating back to the Joseon Dynasty, lives of many was in a complete mess. Taxes where increasingly high and the income was a complete opposite. Those with power of so called born into that position ran the daily job of collecting taxes and basically cheated their way to the top. Referencing from an article by Kyung Moon Hwang he describes these individuals as “another...

Words: 1504 - Pages: 7

Free Essay

Sitemi Integrati Di Lavorazione

...CAD comp aided design per la progettaz e visualizzaz di un mod geometrico (circ elettr, mod architett, ecc); CAM comp aided manufacturing permette a part da un mod geom di ott un ogg fisico, caratterizzt da un grado di precis det dalle lav che vengono eseguite su di esso; FEM finite element method a part da un mod tridimens da la possib di vedere l'gg da più parti, usando gli sturm cad e cam; GUI graphical user interface interfaccia grafica che permette all'utente di inteagire con la macch manipolando ogg grafici convenzionali le trasf sn tutte operaz che compie il sist sulle geometrie, memorizzate nella forma più semplice ed economica possibile, detta forma canonica. Nella mem del calcolatore i vari punti che infentif le diff forme geom sono collegati med puntatori. Quanto più complessa è la forma geom, tanti più sono i puntatori da utilizzare Forme per la rappresentaz delle curve. 1. forma analitica: usa equaz algebriche, non tutte le forme si poss rappresent con questa forma; forma implicita (x2/a2+y2/b2-1=0 cironferenza), forma esplicita (y = a+bx+cx2 parabola); 2.forma parametrica: utilizza equaz parametriche 0<t<1, usata per rappresent curve non canoniche permettendo di disegnare curve free form (forma libera- sup libere). Foto pag 15 fino a matrice dei coefficienti A curve di ferguson 16-17curve di bezier 18-21curve b-splines 22curve nurbs 23 Forme per la rappresentaz delle superfici. Forma analitica (parametrica e non param) o forma parametrica (usata...

Words: 4205 - Pages: 17

Premium Essay

Application Assignment 5

...Etta Washington Instructor: William Irvin 22 November 2015 Application Assignment #5 20. A series of activities must be completed in a coordinated fashion to complete a landscaping overhaul. The following table shows the activities their optimistic, most likely and pessimistic durations and their immediate predecessors Activity A m b Immediate Predecessors A 4 8 12 --- B 4 10 13 A C 7 14 18 B D 9 16 20 B E 6 9 12 B F 2 4 6 D,E G 4 7 13 C,F H 3 5 7 G I 2 3 4 G,H A- Determine the expected times and variances for each activity B- Construct a project network for this problem C- Determine the EST, EFT, LST, LFT and slack for each activity. Also determine the critical path and project completion time. D- What is the probability that the project will be finished in less than 57 days? E- What is the probability that the project will need at least 50 days? Activity | Early Start | Early Finish | Late Start | Late Finish | Slack | A | 0 | 8 | 0 | 8 | 0 | B | 8 | 17.5 | 8 | 17.5 | 0 | C | 17.5 | 31 | 23.5 | 37 | 6 | D | 17.5 | 33 | 17.5 | 33 | 0 | E | 17.5 | 26.5 | 24 | 33 | 6.5 | F | 33 | 37 | 33 | 37 | 0 | G | 37 | 44.5 | 37 | 44.5 | 0 | H | 44.5 | 49.5 | 44.5 | 49.5 | 0 | I | 49.5 | 52.5 | 49.5 | 52.5 | 0 |   | Project | 52.5 |   |   |   | Variance | Critical Variance | 1.77777778 | 1.78 | 2.25 | 2.25 | 3.36111111 |   | 3.36111111 | 3.36 | 1 |   | 0.44444444 | 0.44 | 2...

Words: 1200 - Pages: 5

Premium Essay

Home Work

...Homework for Tony Badano |   |  01/15/2012  Sunday |  01/16/2012  Monday |  01/17/2012  Tuesday |  01/18/2012  Wednesday |  01/19/2012  Thursday |  01/20/2012  Friday |  01/21/2012  Saturday | 8th Period (8TH-P81) | No items found | No items found | No items found | No items found | No items found | No items found | No items found | American Sign Language 1 CP (ASL_1-P6) | No items found | American Sign Language 1 CP Riddle due on Thursday | American Sign Language 1 CP Riddle due on Thursday. | American Sign Language 1 CP riddle due tomorrow | American Sign Language 1 CP Practice your vocab with your created sentences. | American Sign Language 1 CP Practice vocab with your created sentences. | No items found | Bible 9-10 (Bible 9-10-P5) | No items found | Bible 9-10 Read I Kings by Friday and get a parent signature..... Write a 3 part essay on I Kings and turn it in on Friday.,,,,,,,,, Bible Memory due on Thursday - I Kings 9:4-7b | No items found | Bible 9-10 Bible Memory due on Thursday - I Kings 9:4-7b | No items found | No items found | No items found | Earth/Physical Science CP (EARTH-PHYS-P2) | No items found | No items found | Earth/Physical Science CP will be updated daily by 3:30pm Lab Report on Diffusion and Osmosis typed Due Thursday 1/19 (if not turned in at beginning of class it is a zero - no exceptions - No lates will be excepted) | Earth/Physical Science CP Lab Report on Diffusion and Osmosis typed Due Thursday 1/19 (if not turned...

Words: 541 - Pages: 3

Premium Essay

Essay On Aircraft Design

...languages that required the user to be fluent in the language and know e architecture of the computer. With the introduction of personal computers, design programs began employing a more user-friendly approach Designing process: The main aspects of the design process are: (1).Aeroodynamics: Is the branch of fluid dynamicswhich deals with studing the motion of the air,particularly when it interacts with the solid object such as aeroplane wing. (2).Propulsion Aircraft propulsion may be achieved by specially designed aircraft engines, adapted auto, motorcycle or snowmobile engines, electric engines or even human mu scle power. The main parameters of engine design are: • Maximum engine thrust available • Fuel con sumption • Engine mass • Engin e geom etry The thrust provided by the engine must balance the drag at cruise speed and be greater than the drag toa llow acceleration in cruise speed and need more engine efficiency. High-performance fighter jets need very high acceleration and therefore have very high thrust requirements.[ (3).Controls A conventional aircraft flight an aircraft's direction in flight. (4).Mass The weight of the aircraft is the common factor that links all aspects of aircraft design such as aerodynamics, structure, and propulsion together. An aircraft's weight is derived from various factors such as empty weight, payload, useful load,. (5).Structure The aircraft structure focuses not only on strength, stiffness, durability, fracture toughness, stability, but als...

Words: 1310 - Pages: 6

Free Essay

The One

...1 9 programming is terrible lessons learned from a life wasted @tef 2 hello, iamtef, I am a bad programmer I took things apart to find out how they work. Now I am surprised they do. I am a bad programmer (tests, docs, apology code review, bugs) we can do better. Good and Bad Programmers How Culture Dictates Code Indoctrination vs Learning Being Successful vs Being Good 3 Not just complaints, Tips, hope. mistakes i’ve made etc. mythos. people rather than code. std disclaimer, opinions, not work, or reality YMMV HTH HAND 4 Some find useful, gives me trouble. I am wrong. Doesn’t stop bloggers. A good place to start my code is better than your code (sing it) 5 false dichotomy of good and bad programmers. they normally mean this Programmers who are like me. Programmers who are not like me. 6 cargo cult their personality -> success Programmers who use my favourite language. Programmers who don’t. 7 blub paradox. aside: unmaintainable lisp, was replaced with perl. aside: lisp would have prevented 9/11 imply good or bad. Programmers who share my political views. Programmers who don’t. 8 mash types into politics for people who understand neither. why? it is easy. simple answer to a hard question. also blog hits. especially emotionally charged/trolling 10 times 50 times 100 times 9 the myth of genius. rockstar, ninja, founder, entrepreneur drowning in puberty/machismo all bollocks, faulty study, repeated...

Words: 1384 - Pages: 6

Premium Essay

Table of Specification

...Pamantasan ng Lungsod ng Marikina Marikina City Edaucation Department 1st Semester, A.Y. 2014 – 2015 Activity No.2 – Midterm ASSESSMENT 2 Leader: BOLANTE, Sarah Jane BSE – 303 Mathematics Rating: Members: CAMPOS, Angela Date: August 15, 2014 JULIAN, Mariel MAGNO, Ralph Rolen TIAMZON, Jona Ailen Topic: Table of Specification, Unit Test as a basis References: Painless Math, Salita C. Benes, 2008 Geometry Textbook for 3rd year, JTW Corporation, 2002 Table of Specification 1 Types of Test to be Prepared Topics | AlternativeResponse | MultipleChoice | MatchingType | ProblemSolving | Total | 1.Quadrilaterals | 3 | 5 | 6 | | 14 | a. Parallel andits properties | 2 | 5 | 1 | 2 | 10 | b Trapezoid andits properties | 1 | 4 | 2 | 2 | 9 | c. Genereral Quadrilateral andits properties | 1 | 3 | - | 2 | 6 | d. Special Quadrilaterals andits properties | 3 | 3 | 1 | 4 | 11 | Total: | 10 | 20 | 10 | 10 | 50 | Table of Specification 2 Tasks to be Measured Types of Test | T | FI | G | E | A | C | Total | Alternative Response | 2 | 7 | - | 1 | - | - | 10 | Multiple Choice | 6 | 6 | - | 1 | 2 | 5 | 20 | Matching Type | 8 | 2 | - | - | - | - | 10 | Problem Solving | - | - | - | - | - | 10 | 10 | Total: | 16 | 15 | 0 | 2 | 2 | 15 | 50 | Legends: T – Terminology E – Example FI – Factual Information A – Analysis G – Generalization ...

Words: 1518 - Pages: 7

Premium Essay

Math Formulas

...Online Reference & Tools Home>Math>Math symbols> Math symbols Mathematical Symbols List of all mathematical symbols and signs - meaning and examples. Basic math symbols Geometry symbols Algebra symbols Probability & statistics symbols Set theory symbols Logic symbols Calculus & analysis symbols Number symbols Greek symbols Roman numerals Basic math symbols Symbol Symbol Name Meaning / definition Example = equals sign equality 5 = 2+3 ≠ not equal sign inequality 5 ≠ 4 > strict inequality greater than 5 > 4 < strict inequality less than 4 < 5 ≥ inequality greater than or equal to 5 ≥ 4 ≤ inequality less than or equal to 4 ≤ 5 ( ) parentheses calculate expression inside first 2 × (3+5) = 16 [ ] brackets calculate expression inside first [(1+2)*(1+5)] = 18 + plus sign addition 1 + 1 = 2 − minus sign subtraction 2 − 1 = 1 ± plus - minus both plus and minus operations 3 ± 5 = 8 and -2 ∓ minus - plus both minus and plus operations 3 ∓ 5 = -2 and 8 * asterisk multiplication 2 * 3 = 6 × times sign multiplication 2 × 3 = 6 ∙ multiplication dot multiplication 2 ∙ 3 = 6 ÷ division sign / obelus division 6 ÷ 2 = 3 / division slash division 6 / 2 = 3 – horizontal line division / fraction mod modulo remainder calculation 7 mod 2 = 1 . period decimal point, decimal separator 2.56 = 2+56/100 ab power exponent 23 = 8 a^b caret exponent 2 ^ 3 = 8 √a square root √a • √a = a √9 = ±3 3√a cube root 3√a • 3√a • 3√a = a 3√8 = 2 4√a fourth root 4√a...

Words: 1898 - Pages: 8

Premium Essay

Magnetophoresis

...6/12/2012 Blood Cell Separation with Magnetophoresis John Dunec, Ph.D. VP of Sales, NW USA © 2012 COMSOL. COMSOL and COMSOL Multiphysics are registered trademarks of COMSOL AB. Capture the Concept, COMSOL Desktop, and LiveLink are trademarks of COMSOL AB. Other product or brand names are trademarks or registered trademarks of their respective holders. Welcome to the Lunch-Time Tutorials! • Solve One Problem Using COMSOL Multiphysics • This Tutorial: Blood Cell Separation Using Magnetophoresis • 30-35 minutes duration • Short Q&A at end • Archived at: www.comsol.com/webinars Upcoming Tutorials: • Low Frequency Tumor Ablation www.comsol.com/events Presentation, Step-by-Steps, and COMSOL model available on request 1 6/12/2012 Individual Physics you Learned in School Heat in a rod, … Stress in a wrench S i h • Individual equation sets … Applied to simple, (and sometimes not-so-simple) single-physics problems In Reality – Multiple Sets of Physics Interact • Typically bi-directional nonlinear coupling between multiple physical processes 2 6/12/2012 Multiphysics: Multiple Interacting Phenomena Could be simple: • Heat • Convected by Flow Could be complex: • Flow – Navier-Stokes in tubes – Porous flow in plug B • Mass Transport – Three chemicals: A,B,C – Reacting: A+2B → C • Heat Transfer – Exothermic reaction – Reaction rate temperature dependant COMSOL Multiphysics Solves These! • Multiphysics – Everything can link to everything...

Words: 2713 - Pages: 11

Premium Essay

Fingerptrint Attendance System

...Journal of Engineering, Computers & Applied Sciences (JEC&AS)                       ISSN No: 2319‐5606       Volume 2, No.6, June 2013                                                                                                                                _________________________________________________________________________________     Automatic Biometric Student Attendance System: A Case Study Christian Service University College Dr Thomas Yeboah Dr Ing Edward Opoku-Mensah Mr Christopher Ayaaba Abilimi ABSTRACT In many tertiary institutions in Ghana such as Christian Service University the attendance of students is very important factor since it forms part of the students’ assessment and evaluation. It has therefore become imperative that proper measures should be put in place to ensure that no student signs for another. It has been observed that at Christian Service University College lecturers sometimes give the attendance book to students to sign without actually supervising them to see whether the right student is signing or making sure that no student signs for another. Moreover, if a lecturer wants to supervise the signing of the attendance book to make sure that the right student is signing and no student signs for a friend then the lecturer may end up by wasting a significant amount of the lecture period on the signing supervision. Furthermore, in the larger classes lecturers sometimes use their own ideology and principles to award the attendance...

Words: 2527 - Pages: 11

Premium Essay

Equity Premium: Historical, Expected, Required and Implied

...Pablo Fernandez IESE Business School, University of Navarra Ch 12 Equity Premium: Historical, Expected, Required and Implied Equity Premium: Historical, Expected, Required and Implied Pablo Fernandez Professor of Finance. IESE Business School, University of Navarra Camino del Cerro del Aguila 3. 28023 Madrid, Spain e-mail: fernandezpa@iese.edu January 29, 2013 The equity premium designates four different concepts: Historical Equity Premium (HEP); Expected Equity Premium (EEP); Required Equity Premium (REP); and Implied Equity Premium (IEP). We highlight the confusing message in the literature regarding the equity premium and its evolution. The confusion arises from not distinguishing among the four concepts and from not recognizing that although the HEP is equal for all investors, the REP, the EEP and the IEP differ for different investors. A unique IEP requires assuming homogeneous expectations for the expected growth (g), but we show that there are several pairs (IEP, g) that satisfy current prices. We claim that different investors have different REPs and that it is impossible to determine the REP for the market as a whole, because it does not exist. We also investigate the relationship between (IEP – g) and the risk free rate. There is a kind of schizophrenic approach to valuation: while all authors admit different expectations of equity cash flows, most authors look for a unique discount rate. It seems as if the expectations of equity cash flows are formed in a...

Words: 18388 - Pages: 74

Free Essay

Wot Dis Is It Imptnt

...SIGNALIZATION Alf Badge., P.E. Senior Engineer Post-Buckley-Schuh-Jernigan, Inc Charlotte, North Carolina Charles V. Zegeer, P.E. Associate Director of Roadway Studies Highway Safety Research Center University of North Carolina Chapel Hill, North Carolina FIGURE 5-1 Pedestrian signal displays.' Traffic Signals Traffic signals are intended to assign the right-of-way to vehicular and pedestrian traffic. When installed appropriately, traffic signals can provide many benefits, including the interruption of heavy volumes of motor vehicles where there are insufficient gaps in motor vehicle traffic for pedestrians to cross safely at intersections or midblock locations. Unwarranted or improperly used traffic sig-nals can cause excessive delay for pedestrians and motor vehicles, signal disobedience, and an increase in certain accident types. Even where warranted, traffic signal installations commonly result fn an increase in rear-end and total accidents, with a corresponding reduction in more severe right-angle acci-dents. The effect of traffic signal installations on pedestrian accidents is not well known, but different locational characteristics of the sites are important factors in the accident experience at signals.° While many traffic signals include only the green, yellow, and red signal faces, a variety of signal lens faces may be used, depending on needed signal phasing. Studies have suggested, however, that highly-com-plex, multiphase signals often result in con-fusion...

Words: 4096 - Pages: 17

Premium Essay

Heat Kernel

...www.elsevier.com/locate/ynimg NeuroImage 25 (2005) 1256 – 1265 Cortical thickness analysis in autism with heat kernel smoothing Moo K. Chung,a,b,c,* Steven M. Robbins,f Kim M. Dalton,c Richard J. Davidson,c,d Andrew L. Alexander,c,e and Alan C. Evansf a Department of Statistics, University of Wisconsin, Madison, 1210 West Dayton Street, WI 53706, USA Biostatistics and Medical Informatics, University of Wisconsin, Madison, 1210 West Dayton Street, WI 53706, USA c W.M. Keck Laboratory for Functional Brain Imaging and Behavior, University of Wisconsin, Madison, WI 53706, USA d Department of Psychology and Psychiatry, University of Wisconsin, Madison, WI 53706, USA e Department of Medical Physics, University of Wisconsin, Madison, WI 53706, USA f Montreal Neurological Institute, McGill University, Canada b Received 5 October 2004; revised 22 November 2004; accepted 3 December 2004 Available online 10 March 2005 We present a novel data smoothing and analysis framework for cortical thickness data defined on the brain cortical manifold. Gaussian kernel smoothing, which weights neighboring observations according to their 3D Euclidean distance, has been widely used in 3D brain images to increase the signal-to-noise ratio. When the observations lie on a convoluted brain surface, however, it is more natural to assign the weights based on the geodesic distance along the surface. We therefore develop a framework for geodesic distance-based kernel smoothing and ...

Words: 6727 - Pages: 27

Free Essay

Pdf, Docx

...Notes on Probability Peter J. Cameron ii Preface Here are the course lecture notes for the course MAS108, Probability I, at Queen Mary, University of London, taken by most Mathematics students and some others in the first semester. The description of the course is as follows: This course introduces the basic notions of probability theory and develops them to the stage where one can begin to use probabilistic ideas in statistical inference and modelling, and the study of stochastic processes. Probability axioms. Conditional probability and independence. Discrete random variables and their distributions. Continuous distributions. Joint distributions. Independence. Expectations. Mean, variance, covariance, correlation. Limiting distributions. The syllabus is as follows: 1. Basic notions of probability. Sample spaces, events, relative frequency, probability axioms. 2. Finite sample spaces. Methods of enumeration. Combinatorial probability. 3. Conditional probability. Theorem of total probability. Bayes theorem. 4. Independence of two events. Mutual independence of n events. Sampling with and without replacement. 5. Random variables. Univariate distributions - discrete, continuous, mixed. Standard distributions - hypergeometric, binomial, geometric, Poisson, uniform, normal, exponential. Probability mass function, density function, distribution function. Probabilities of events in terms of random variables. 6. Transformations of a single random variable. Mean, variance, median,...

Words: 29770 - Pages: 120

Premium Essay

Esrgt

...UNDERGRADUATE REGULATIONS & SYLLABUSES 2014 - 2015 THE FACULTY OF SOCIAL SCIENCES TABLE OF CONTENTS MESSAGE FROM THE DEAN ............................................................. 3 UNDERGRADUATE PROGRAMMES ................................................ 4 ACADEMIC CALENDAR 2014-2015 ................................................ 5 DEFINITIONS ...................................................................................... 13 GENERAL INFORMATION & REGULATIONS .............................. 14 General Regulations for Bachelor of Science Degrees 14 Special Regulations for Degrees in Hospitality and Tourism Management........................................................... 27 Franchise Agreements .......................................................... 27 EVENING UNIVERSITY -GENERAL INFORMATION & REGULATIONS ................................................................................... 28 General Regulations for Bachelor of Science Degrees 28 General Regulations for Diploma Programmes ............ 36 General Regulations for Certificate Programmes ......... 37 STUDENT PRIZES .............................................................................. 38 CODE OF CONDUCT ........................................................................ 39 UNIVERSITY REGULATIONS ON PLAGIARISM .......................... 40 THE ACADEMIC SUPPORT/ DISABILITIES LIAISON UNIT (ASDLU) ..............................................................................................

Words: 77086 - Pages: 309