This document defines and classifies different types of angles, including acute, obtuse, right, straight, reflex, and complete angles. It describes how to measure angles using a protractor. Complementary angles and supplementary angles are defined as pairs of angles that sum to 90 and 180 degrees, respectively. Vertically opposite angles and corresponding angles formed by parallel lines crossed by a transversal are introduced. The relationships between interior angles, exterior angles, alternate interior angles, alternate exterior angles, and interior angles on the same side of a transversal are also summarized.
here is a ppt of lines and angles class 9th
you can watch it and please comment on it
thanxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
here is a ppt of lines and angles class 9th
you can watch it and please comment on it
thanxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Solve Lines and Angles Question Paper for CBSE Class 9 SweetySehrawat
Get all the NCERT solutions for class 9 mathematics at Extramarks. Students studying with NCERT Textbook to study Maths, then you must come across the question papers. Once you have finished the lesson, you must be looking for a solution to these exercises. Extramarks provides complete NCERT Solutions for CBSE Lines and Angles for Class 9 question paper in one place. Visit the Extramarks site for more modules and subjects for NCERT solutions.
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.
Solve Lines and Angles Question Paper for CBSE Class 9 SweetySehrawat
Get all the NCERT solutions for class 9 mathematics at Extramarks. Students studying with NCERT Textbook to study Maths, then you must come across the question papers. Once you have finished the lesson, you must be looking for a solution to these exercises. Extramarks provides complete NCERT Solutions for CBSE Lines and Angles for Class 9 question paper in one place. Visit the Extramarks site for more modules and subjects for NCERT solutions.
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.
PowerPoint presentation on the topic: Angles for year 8 students.
Presented as an online Mathematics Tutor to be selected for Mathematics position to teach year 7 to year 9 students.
As part of an online recruitment for assessment
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.
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
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.
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.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
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.
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!
How to Make a Field invisible in Odoo 17Celine George
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.
3. Definition and Properties
Lines and Angles
Line segment : A line segment has two end points with a definite length.
Line : A straight path extending in both the directions with no end point.
Ray : Ray is a line with a single endpoint that extends infinitely in one direction.
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A shape formed by two rays sharing a common endpoint.
Angle contains two rays and a vertex.
The magnitude of the angle is the "amount of rotation" that
separates the two rays, and can be measured by considering
the length of circular arc swept out when one ray is rotated
about the vertex to coincide with the other.
ray
ray
vertex
Ray—has one endpoint and goes
infinitely in one direction
Vertex—point common to two rays of
a triangle or two sides of a polygon
Angles
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Measuring Angles
You measure angles with a protractor.
Thispointgoesatthevertexoftheangle
This
point is 0.
Notice there are two scales. Be careful which 0 you start at.
900
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Types of Angles
□ Acute Angle: An angle whose measure is greater than
zero degrees and less than 90 degrees. A-cute=Small
7. □ One angle measures greater than 90 degrees and less than 180 degrees□ Obtuse angle
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Right Angle
□ Angle that measures 90 degrees
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Straight angle
A straight angle changes the direction to point the opposite way.
It looks like a straight line. It measures 180° (half a revolution, or two right angles)
10. Reflex Angle
Reflex angles are angles measuring greater than 180 degrees and less than 360 degrees.
The measure of a reflex angle is added to an acute or obtuse angle
to make a full 360 degree circle.
11. Complete Angle
□ Angle whose measure is equal to
1 Revolution = 1 Complete Angle
A Straight line makes an angle of 360
to reach its initial position completely by the rotation
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What are complementary angles ?
Two angles are called Complementary angles if the sum of their degree
measurements equal 90 degree (right angle) One of the complementary
angle is said to be the complement of the other.
The two angles do not need to be together or adjacent they just need to
add up to 90 degrees.
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What are Supplementary angles ?
Angles are Supplementary when they add up to 180 degrees.
A pair of adjacent angles formed by intersecting lines.
Linear pairs of angles are supplementary.
15. At both the vertices A and B, we find, a pair of angles are placed next
to each other. These angles are such that:
(i) they have a common vertex;
(ii) they have a common arm; and
(iii) vertex and a common arm but no common interior points.
the non-common arms are on either side of the common arm.
Adjacent Angle
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a pair of angles is said to be vertical (also opposite and vertically opposite)
if the angles are formed from two intersecting lines and the angles are not adjacent.
They all share a vertex. Such angles are equal in measure and can be described as congruent.
Vertically Opposite angles
A
B
17. Transversal :- A transversal, or a line that intersects two or more
coplanar lines, each at a different point, is a very useful line in
geometry. Transversals tell us a great deal about angles.
Parallel Lines :- Parallel lines remain the same distance apart
over their entire length. No matter how far you extend them, they
will never meet.
• Corresponding Angles : 6, 2 & 5,1
• Alternate Interior Angles : 5,4 & 6,3
• Alternate Exterior Angles :
• Interior Angles on same side of the transversal
Transversal
& parallel
lines
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The angles that occupy the same
relative position at each
intersection where a straight line
crosses two others. If the two lines
are parallel, the corresponding
angles are equal.
Corresponding Angles
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When two parallel lines are cut by a transversal,
the two pairs of angles on
opposite sides of the transversal
and inside the parallel lines,
and the angles in each pair are congruent.
Alternate interior angle
20. A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
A pen stand :The pen makes a linear pair of angles with the stand.
Linear Pair
21. Interior angles : ∠3, ∠4, ∠5, ∠6
Exterior angles : ∠1, ∠2, ∠7, ∠8
Pairs of Corresponding angles :
∠1 and ∠5, ∠2 and ∠6, ∠3and ∠7,∠4and∠8
Pairs of Alternate interior angles :
∠3 and ∠5, ∠4 and ∠6
Pairs of Alternate exterior angles :
∠1 and ∠7, ∠2 and ∠8
Pairs of interior angles on the same side of the transversal :
∠3 and ∠6, ∠4 and ∠5
Angles made by a Transversal
