This document defines various terms related to lines and angles, including: line, line segment, ray, collinear points, angle, acute angle, right angle, obtuse angle, straight angle, reflex angle, adjacent angles, linear pair of angles, vertically opposite angles, complementary angles, supplementary angles, intersecting lines, parallel lines, and transversal. It also provides examples of how angles are related when lines intersect or are parallel, such as corresponding angles being equal. Finally, it presents four questions related to lines and angles.
Dalton plan is a very interesting method in teaching Mathematics and other science subjects. I think this is the best method that we can use in schools to teach all type of students. Because this method encourages self paced learning. It increases the confidence level of students and make them self reliable.
for download this presentation please visit www.biowalesir.com
for more informative content watch Know_U YouTube channel
paper pencil test, Oral test, and Performance test
tools available for evaluation of overall personality
What do we mean by Integrating Technology in Teacher Education?
Why is Integrating Technology in Teacher Education important?
What does Integrating Technology in Teacher Education look like in action?
What can YOU do to improve Integrating Technology in Teacher Education?
Justice verma commission (JVC) Report Recommendations and Actions takenBhaskar Reddy
This slides contain Justice verma commission Recommendations and Actions
taking as three parts
1. Pre-service teacher education
2. In-service teacher education
3. Teacher education Audit
all with recommendations and Actions
Interpretation Construction Design Model or more popularly ICON Model is a constructivist model of teaching learning. this is an innovation in the field of Educational Technology during the last decade of the last century, which came to be popular in the first decade of 21st century
Dalton plan is a very interesting method in teaching Mathematics and other science subjects. I think this is the best method that we can use in schools to teach all type of students. Because this method encourages self paced learning. It increases the confidence level of students and make them self reliable.
for download this presentation please visit www.biowalesir.com
for more informative content watch Know_U YouTube channel
paper pencil test, Oral test, and Performance test
tools available for evaluation of overall personality
What do we mean by Integrating Technology in Teacher Education?
Why is Integrating Technology in Teacher Education important?
What does Integrating Technology in Teacher Education look like in action?
What can YOU do to improve Integrating Technology in Teacher Education?
Justice verma commission (JVC) Report Recommendations and Actions takenBhaskar Reddy
This slides contain Justice verma commission Recommendations and Actions
taking as three parts
1. Pre-service teacher education
2. In-service teacher education
3. Teacher education Audit
all with recommendations and Actions
Interpretation Construction Design Model or more popularly ICON Model is a constructivist model of teaching learning. this is an innovation in the field of Educational Technology during the last decade of the last century, which came to be popular in the first decade of 21st century
here is a ppt of lines and angles class 9th
you can watch it and please comment on it
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For those who need help in PPT's for Lines and Angles and want to get good results.
Visit my website :- http://www.soumyamodakbed.blogspot.in/ for more information.
Biological screening of herbal drugs: Introduction and Need for
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Antifertility, Toxicity studies as per OECD guidelines
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Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
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This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
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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.
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It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
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.
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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.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
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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.
2. LINES AND ANGLES
Basic Terms and Definitions
Line
A line is a collection of points along a straight path. A line extends in both the
directions and has no endpoints. It has no definite length.
Line segment
A line segment is a part of a line with two end points. There is only one line
segment joining two given points.
Ray
A part of line with one end point is called a ray.
Collinear points
All the points that lie on the same line are called collinear points.
Angle
Two rays originating from the same end point form an angle.
Consider the two rays AB and AC originating from the same point A form an angle
named as ∠BAC or ∠CAB or ∠A. The rays that form the angle are called the arms
of the angle. The end point is called the vertex of the angle. The size of an angle is
measured in degrees.
3. Types of angles
Acute angle
Angles measuring less than 90° but more than 0° are called acute angles.
Right angle
An angle measuring 90° is called a right angle. A right angle is formed by the
intersection of two perpendicular lines.
Obtuse angle
Angles measuring greater than 90° but less than 180° are called obtuse angles.
4. Straight angle
An angle measuring 180° is called a straight angle.
Reflex angle
Angles measuring greater than 180° but less than 360° are called reflex angles.
Adjacent angles
Two angles are said to be adjacent if they have a common arm and a common
vertex.
Linear pair of angles
Two adjacent angles are said to form a linear pair if their sum is 180°. Non-
common arms of the linear pair of angles form a straight line
Vertically opposite angles
When two lines intersect, four angles are formed. The angles that are opposite to
each other are called vertically opposite angles. There are two pairs of vertically
opposite angles.
Complementary angles
Two angles are said to be complementary, if their sum is 90°.
Supplementary angles
Two angles are said to be supplementary if their sum is 180°.
Complementary and supplementary angles may or may not be adjacent angles.
5. Intersecting lines
Two or more lines that meet at one point are called intersecting lines. When two
lines intersect each other, then the vertically opposite angles are equal. Sum of all
the angles formed at a point is 360°.
Parallel lines
Lines on the same plane that never intersect are called parallel lines.
Transversal
A line that intersects two or more lines, at different points is called a transversal.
When a transversal intersects two lines, m and n, eight angles are formed, four
angles at each point, P and Q respectively. These angles are identified by their
positions.
6. • ∠1, ∠2, ∠7 and ∠8 are called exterior angles
• ∠3, ∠4, ∠5 and ∠6 are called interior angles
• ∠1 and ∠5, ∠2 and ∠6, ∠4 and ∠8, ∠3 and ∠7 are pairs of corresponding
angles
• ∠1 and ∠7, ∠2 and ∠8 are pairs of alternate exterior angles
• ∠4 and ∠6, ∠3 and ∠5 are pairs of alternate interior angles
• ∠4 and ∠5, ∠3 and ∠6 are consecutive interior angles on the same side of
the transversal
7. If a transversal intersects two parallel lines, then
• each pair of corresponding angles is equal.
• each pair of alternate interior angles is equal.
• each pair of interior angles on the same side of the transversal is
supplementary
Two lines intersected by a transversal are parallel if, either
• any one pair of corresponding angles is equal, or
• any one pair of alternate interior angles is equal, or
• any one pair of interior angles on the same side of the transversal is
supplementary
Lines which are parallel to the same line are parallel to each other.
The sum of three angles of a triangle is 180°.
If a side of a triangle is produced, the exterior angle so formed is equal to the sum
of the two interior opposite angles.
QUESTIONS
Q1. Prove that if two lines intersect ,then both pairs of
vertically opposite angles are equal.
Q2. AB parallel to CD and EF parallel to DQ determine angle
PDQ , angle AED and angle DEF.
8. Q3. An exterior angle of a triangle is 105° and its interior
opposite angles are equal. Each of these equal angles
is________.
Q4. 3 angles of a triangle are a, b & c. if c = a+b/2, then find
value of 'c'