This document defines and provides examples of congruent angles, congruent segments, and congruent triangles in geometry. It explains that angles are congruent if they have the same measure, segments are congruent if they have the same length, and triangles are congruent if corresponding angles and sides are congruent. The document provides exercises asking the reader to identify corresponding parts of congruent triangles without diagrams as well as included angles and sides within triangles.
Congruent triangles. Proving congruent triangles.
Disclaimer: Some parts of the presentation are obtained from various sources. Credit to the rightful owners.
Mathematical application of Similar Triangles. Word problems involving similar triangles.
Disclaimer: Some parts of the presentation are obtained from various sources. Credit to the rightful owners.
Congruent triangles. Proving congruent triangles.
Disclaimer: Some parts of the presentation are obtained from various sources. Credit to the rightful owners.
Mathematical application of Similar Triangles. Word problems involving similar triangles.
Disclaimer: Some parts of the presentation are obtained from various sources. Credit to the rightful owners.
Seeking challenging positions in Bids & Proposals / Financial Analysis / Business Plan / Budgeting / Trend Analysis with an organization of high repute.
Seeking challenging positions in Bids & Proposals / Financial Analysis / Business Plan / Budgeting / Trend Analysis with an organization of high repute.
This presentation concerns possible Expat 'failures' and how to prevent these failures. The definition of a expat failure is returning unexpectedly to motherland or be overcome by a sudden expatriation trauma. These failures can be prevented by mourning about motherland, adapting to fatherland and coping with acculturation stress.
Pattern of use, acceptability and perceived risk of electronic cigarettes: a prospective cohort study with biomarkers
José M Martínez-Sánchez, PhD, MPH, BSc
Tobacco Control Unit | WHO Collaborating Center for Tobacco Control Catalonia Institute of Oncology
Public Health Agency of Catalonia: Tobacco Control and Prevention.Tobacco control research workshop Barcelona. September 22nd. 2015
•Josep M Suelves •Guadalupe Ortega •Araceli Valverde •Carmen Cabezas
Niue is the world largest raised single coral atoll situated in the Southwest Pacific Ocean. This presentations gives you an overview about the Sandalwood production in Niue.
A plane figure with three sides and three angles is called a triangle. We will learn the different types of triangles based on varying side lengths and angle measurements. After this session you can very easily tell the difference between all types of triangles and know the mathematics involved in it.
Did you know, two different triangles of different sizes can be similar to each other based on the ratio of their sides ?
Here you will learn the following:
1) Criteria’s for similarity
2) Scale factor
3) Congruency
If the corresponding sides of a triangle is twice than that of another triangle, will the area be also doubled??
Watch this session to learn about the effects that can be seen in areas of two similar triangles in just 10 minutes.
Basic Proportionality Theorem is one of the important topics of a Triangle that deals with the study of the proportion of the two sides of a triangle. So, watch this session and learn about the Theorem and its proof.
Pythagoras theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
In this session, you will learn this very important theorem and learn to prove its statement with its proof in a geometric way.
This powerpoint presentation is an introduction for the topic TRIANGLE CONGRUENCE. This topic is in Grade 8 Mathematics. I hope that you will learn something from this sides.
Triangles
Introduction
Sum of the angles of a triangle
Types of triangles
Altitude, Median and Angle Bisector
Congruence of triangles
Sides opposite congruent angles
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
4. DEFINITIONS
Angles are CONGRUENT if they have the SAME MEASURE.
∠A ≅ ∠B means that m∠A = m∠B
Ex. If m∠F = 34 and m∠G = 34,
then ∠F ≅ ∠G
Segments are CONGRUENT if they have the SAME LENGTH.
AB ≅ CD means that AB = CD
Ex. If EF = 2 cm and GH = 2 cm,
then EF ≅ CD
EQUATION is between NUMBERS or MEASUREMENTS.
CONGRUENCE is between GEOMETRIC FIGURES.
5. We DON’T write “=“ between two
names of geometric figures unless:
D
E C
B
A
BA
∠BAC = ∠DAE
AB = BA
6. B
C D
E
FA
ABC ⇿ DEF
WHAT ARE THE CORRESPONDING SIDES
AND CORRESPONDING ANGLES?
7. DEFINITION
Given a correspondence between two triangles. If
every pair of corresponding angles and corresponding
sides are congruent, then the triangles are congruent.
8. EXERCISES
1. Given that ∆ABE ≅ ∆DCF, complete the following statements by supplying the
missing symbols. The correspondence A___ ⇿ ___F is a congruence.
B CA
FE
D
∠A ≅ ∠D
∠B ≅ ____
∠E ≅ ____
AB ≅ ____
AE ≅ ____
BE ≅ ____
9. EXERCISES
2. Given that ∆MQP ≅ ∆NQP. List the six pairs of corresponding, congruent parts of
these two triangles.
M N
P
Q
3.For each of the congruences, list the six pairs of corresponding, congruent parts.
a. ∆RQF ≅ ∆ABX. You may make a sketch of the triangles if you wish.
b. ∆FHW ≅ ∆MRK. Do not use a figure.
c. ∆DOG ≅ ∆CAT. Do not use a figure.
14. DEFINITION
A side of a triangle is said to be INCLUDED by the
angles whose vertices are the end points of the segment.
An angle of a triangle is said to be INCLUDED by
the sides of the triangle which lie in the sides of the angle.
16. EXERCISES
1. (a) In ∆ABC, which is the included angle of the sides BC and AB?
(b) Which is the included side of ∠A and ∠C?
(c) Which sides include ∠C?
(d) Which angles include BC?
2. Consider ∆GHK. Without drawing a figure, can you discover an easy method of
deciding which sides and angles are included sides and included angles?
(a) Does GH and HK include ∠H?
(b) Does ∠G and ∠K include GK?
(c) What is the included angle of GH and GK?
(d) What is the included side of ∠G and ∠H?
A C
B