...Name Class Date [pic] Triangle Congruence by SSS and SAS 4-2 Reteaching You can prove that triangles are congruent using the two postulates below. Postulate 4-1: Side-Side-Side (SSS) Postulate If all three sides of a triangle are congruent to all three sides of another triangle, then those two triangles are congruent. If [pic], [pic], and [pic], then ∆JKL ( ∆XYZ. In a triangle, the angle formed by any two sides is called the included angle for those sides. Postulate 4-2: Side-Angle-Side (SAS) Postulate If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then those two triangles are congruent. If [pic], [pic], and (P ( (D, then ∆PQR ( ∆DEF. (P is included by [pic] and [pic]. (D is included by [pic] and [pic]. Exercises 1. What other information do you need to prove ∆TRF ( ∆DFR by SAS? Explain. 2. What other information do you need to prove ∆ABC ( ∆DEF by SAS? Explain. 3. Developing Proof Copy and complete the flow proof. Given: [pic], [pic] Prentice Hall Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 19 Prove: ∆JDA ( ∆ZMA Name Class Date [pic] Triangle Congruence by SSS and SAS 4-2 Reteaching (continued) Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information...
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...Empress Land Rules: Form four groups with four members in each. Therefore in total there should be 16. Take a piece of paper rip it into four pieces. Write one through four on the papers. Then fold them each into little pieces take a hat and shake it well and have one member from each group choose a number. Whatever number they choose is the number that their group will go in. there will be no yelling or shouting during another groups turn each team has 30 seconds to answer their question two minutes in total if it’s a problem that needs to be solved with pencil, and paper. Any question answered incorrectly will result in the team losing 100 points. At the end all the points will be added up and the winner should receive 2 points on any assignment of choice. 100 Section Questions: | Questions | Answer | By the given information determine which word it is best describing. | 1. Has no dimension, and it’s represented by a dot. | Point | 2. In geometry terms that can be described using known words such as point or line are called. | Defined terms | 3. To find the length of AB , with endpoints (-7,5) and B(4,-6) you can use the …. | Distance formula | For the following questions below find the coordinates of the midpoint of the segment with the given endpoints. | 4. C(3,5) and D(7,5) | (5,5) | 5. G(-4,4) and H(6,4) | (1,4) | 6. P(-8,-7) and Q (11,5) | (1 ½ ,-1) | Basic math calculators should not be needed | 7. 6*6 | 36 | 8....
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...w w ap eP m e tr .X w om .c s er UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education 0580/04, 0581/04 MATHEMATICS May/June 2007 Paper 4 (Extended) 2 hours 30 minutes Additional Materials: *5128615949* Answer Booklet/Paper Electronic calculator Geometrical instruments Graph paper (2 sheets) Mathematical tables (optional) Tracing paper (optional) READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet, follow the instructions on the front cover of the Booklet. Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all questions. All working must be clearly shown. It should be done on the same sheet as the rest of the answer. Marks will be given for working which shows that you know how to solve the problem even if you get the answer wrong. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For π use either your calculator value or 3.142. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part...
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...as u like it Orlando, the youngest son of the recently deceased Sir Rowland de Bois, describes his unfortunate state of affairs to Adam, Sir Rowland’s loyal former servant. Upon his father’s death, Orlando was bequeathed a mere 1,000crowns, a paltry sum for a young man of his social background. His only hope for advancement is if his brother, Oliver, honors their father’s wish and provides him with a decent education. Oliver, as the eldest son, inherited virtually everything in his father’s estate, yet he not only neglects this charge but actively disobeys it. Although he arranges for his other brother, Jaques, to attend school, Oliver refuses to allow Orlando any education whatsoever, leaving the young man to lament that his upbringing is little different from the treatment of a piece of livestock. Orlando has long borne this ill treatment, but he admits to Adam that he feels rising within himself a great resentment against his servile condition and vows that he will no longer endure it. Oliver enters, and the hostility between the brothers soon boils over into violence. Orlando claims that the system that allows the eldest son to inherit the bulk of a father’s estate does not reduce the ancestral blood in the other sons. Oliver, offended by his brother’s insolence, assails Orlando, while Orlando seizes Oliver by the throat. Adam tries to intervene, seeking peace in the name of their father, but the brothers do not heed him. Orlando, undoubtedly the stronger of the two, refuses...
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...] 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...
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...[pic][pic][pic] ----------------------- LESSON 7: Triangle Congruency SAS CONGRUENCE and ASA CONGRUENCE POSTULATE The term ________________ is the angle formed by two given sides or Example: a. b. ___________________________ __________________________________ c. d. ___________________________ __________________________________ The term ____________________ is the side whose endpoints are the vertices of the two given angles. EXAMPLE: Using the marked figures, can the ASA Postulate be used to show that the triangles are congruent a. b. __________________________________ ______________________________________ LESSON 7: Triangle Congruency SAS CONGRUENCE and ASA CONGRUENCE POSTULATE Fill in the missing statements and reason. 1. Given: EL =ML and L is the midpoint of FA Prove: [pic] |Statement |Reason | |1. [pic] |1. | |2. [pic] |2. | |3. L is the midpoint of [pic] |3. | |4. |4. Definition Of Midpoint | ...
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...STUDENT NOTES SERIES SMA6014 - Modern Algebra and Geometry Norashiqin Mohd Idrus Shahrizal Shamsuddin Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris (Semester 1 Session 2014/2015) Contents 1 Fundamentals 1.1 History of Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.1 1.1.2 1.2 1.2.1 1.2.2 1.2.3 1.3 1.3.1 1.3.2 1.3.3 1.3.4 1.3.5 1.4 1.5 1.4.1 1.5.1 1.5.2 1.5.3 1.5.4 1.6 1.6.1 1.6.2 1.6.3 Classical Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Modern Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 1 1 1 2 3 6 7 7 8 8 9 9 Logic and Proof . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Methods of Proof . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Proof by Induction . . . . . . . . . . . . . . . . . . . . . . . . . . . . Basic Notion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Subsets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Operations on Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . Power Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Cartesian Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Relations . . . . . . . . . . . . . . . . . . . . . . . . ....
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...made assistant defensive coach, who choses to lead with a behavioral approach to management. Yoast tells Boone he wants his players to hold their positions even after Boone takes over, he also tells Boone he too strict at camp and that the players should be having some fun. This shows Yoast believe’s that the players will preform better for the team if they are satisfied with the position they have, and if they are having fun while playing and practicing. Taking a behavioral approach to management, Yoast have confidence that if the player are satisfied they will be motivated to have a better outcome. I believe that both Coach Boone and Coach Yoast share the same goals, building a strong team and winning games. Coach Boone’s approach is very effective by making the players come together as a team to reach the same goal, he teaches them discipline and why they need to respect and protect each other on and off the...
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...bvkghcccccccch Strategic congruence The individual goals are aligned with unit and organization goals? Yes, as in my organization (etisalat Misr) we are working as a team but individually solving individual cases to achieve our SLA which is aligned with organization goal, so we can’t achieve our organization’s Goals without congruence ------------------------------------------------- Thoroughness Yes but not all times * All employees are evaluated Yes we have 4 times appraisal per year to evaluate every employees regarding KPIS * Evaluation includes performance spanning the entire review period? Yes, the evaluation should include performance spanning the entire review period, to know what your points of strength & weakness so you can avoid your mistake in the coming period to be exits as a market leader * All major job responsibilities are evaluated * Feedback is provided on both positive and negative performance. Feedback is really important for any organization which allows managers to Coach employees and help them to improve performance on an ongoing basis, also help employees to know where they are & what they have to do to improve their performance Practicality At etsialat as one of the biggest telecommunication company in the Middle East & Africa we have to depend on a good HR system to achieve organizational goals and to be a market leader (for example, performance data are entered via user -friendly software) are available for managers to help them...
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...For organisations to achieve their goals, it is important that management control systems motivate managers and influence their behaviour to align their goals with the goals of the organisation (goal congruence). This can be achieved by reward and incentive systems because managers will tend to focus on the activities that are rewarded. Research have shown that people will be more motivated by the potential of earning rewards than by the fear of punishment. A managers total compensation package consists of salaries, benefits and an incentive compensation. Incentive compensation plans are divided into short-term and long-term plans. Under a short-term plan, managers are usually paid in cash. The total amount that can be paid out to employees in a given year is called the “bonus pool” and relates to the overall profitability in a current year. Bonus pools can be established setting the bonus equal to a set percentage of the profits or base bonuses on profitability relative to the industry. Under the short-term plan, some organisations might follow a deferred compensation plan, which spreads out the payments to managers over a period of years. Advantages of this are that managers can estimate their cash income for the year and even after retiring, the manager will continue to receive payments for a number of years. However, the payments may not relate to the performance in the year it was earned. With long-term plans, for an example, managers are usually given the option...
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...may make the specialised metal industry less profitable. Another weakness with redeploying into higher technology metals is that the rapid development of technology will expense too much cost and further reduce the profits of the company. Research and development cost, patents costs and the changing market in the business environment may be a threat to Quality Metal Service Centre. The organisation structure of QMSC is quite complex. It is decentralised very much on location, the regional areas where the company operates. The disadvantages of the decentralised QSMC organisation structure is that the possibility that the business segments are duplicating each others’ efforts and segment managers may make decisions incongruent with the goals of the organisation. QMSC’s organisation structure is not in a form of a flat structure organisation where there is...
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...Analysing what the training needs are is a vital requirement for any effective training program or event. As stated by Beardwell (2001), simply throwing training at individuals may miss priority needs or even cover areas that are not essential. It is through the training needs analysis whereby an organisation gets to know whether to embark on training or not. It is therefore the task of this essay to discuss the idea that the analysis of training needs must go beyond what appears to be the problem. In doing so, one will be looking at how training affects the organisation’s present and future behaviour towards achieving the organisational goals. Disadvantages of training and the need for implementing other policies in the organisation so as to achieve the goals aimed will be unveiled as the discussion progresses. Training needs analysis has been explained by Bittel (1987) as the process of identifying the gap in employee training and related training needs. Philips (2002) also define it as a process of identifying the performance required and what presently exists. Armstrong (2012) explains that Training needs analysis involves the analysis of the corporate, collective and individual needs ,a determination of who needs training ,what they need to learn and the estimation of the training cost. Alison and Kendra (2009) further explain training needs as an ongoing process of gathering data to determine what training needs exists. Beardwell (2001) is of the opinion that, Training...
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...excuse to act in a denial. The Closed Area: this involves behaviors, thoughts and feelings known only to oneself and not to others. Can be a protective or evasive action to do not let the others know what the person can consider personal or destructive to the ego or self-image. To identify these behaviors, thoughts or feelings the person would need to release voluntarily. The Unknown Area: this are the behaviors and feeling that are inaccessible both to oneself and the others (unconscious staff). These behaviors or feelings can be revealing by the person in particular circumstances and moments. The interpersonal effectiveness is directly related to the amount of common shared communication between the company members and the congruence on this process. The Suandale Case (page 274) On this case we can observe the wrong communication process as well the poor leadership skills by the managers. Other significant aspect is the low commitment by the mangers to keep a good organizational climate. Also the interpersonal relationships between the members of this particular area wore affected by Johnson Public behavior and the passive response by the chain of management generated a stressful work environment and the desired to go away of this organization. Chapter 10 Q. # 1....
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...future following graduating with an MBA. With an emphasis on my strengths and weaknesses especially those that differentiate me from my competing fellows and are important to my line, I have tried not only to see which line I would personally prefer to pursue but also the one which is more in congruence with my skill set. The major intent, however, is not to select a career path but rather to develop a marketing plan for my personal brand using systematic methods commonly used in regular commercial marketing as well. As a result, I have been able to know about my own interest as well as of the skills that I possess and those that I would need to develop based on who my target audience would be and what goals I have set in relation to my long term objectives. For this, I have analyzed a list of my strengths and weaknesses to see which field interests me most and how I would be able to attain my defined goals and objective. Mission: My mission in life is that I want to see myself in a position where everyone appreciates me. My goals and objectives: My short term goal is to get a good job and fulfill my become self-dependent and give some contribution in supporting my family. My long term goal is to have a simple and respectable life, much enhanced...
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...Transformational change in organisations: a self-regulation approach Transformational change in organisations 143 Purpose – The purpose of the present paper is to advance a testable model, rooted on well-established control and self-regulation theory principles, explaining the causal links between change-related sensemaking, interpretation, readiness and subsequent behavioural action. Design/methodology/approach – Following a review of the two motivation theories and clarification of change-related sensemaking, interpretation, and readiness concepts, the paper proposes a series of research propositions (illustrated by a conceptual model) clarifying how these concepts interact with self-regulating mechanisms. In addition, the feedback model exemplifies how cognitive processes triggered by new knowledge structures relate to behavioural action. Findings – The model expands upon other existing frameworks by allowing the examination of multi-level factors that account for, and moderate causal links between, change-related sensemaking, interpretation, readiness, and behavioural action. Suggestions for future research and guidelines for practice are outlined. Practical implications – The variables and processes depicted in the model provide guidelines for change management in organisations, both for individuals and for groups. By eliciting important self-regulating functions, change agents will likely facilitate sensemaking processes, positive interpretations of change, change...
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