This document defines and describes various types of angles and lines. It discusses collinear points, acute angles, right angles, obtuse angles, straight angles, reflex angles, complementary angles, supplementary angles, adjacent angles, linear pairs of angles, vertically opposite angles, intersecting and non-intersecting lines, and two axioms regarding angles formed by rays on lines.
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It is an interactive powerpoint presentation developed as an example for elementary school teachers. It shows how an interactive powerpoint presentation can be a great formative assessment tool for young children.
It is an interactive powerpoint presentation developed as an example for elementary school teachers. It shows how an interactive powerpoint presentation can be a great formative assessment tool for young children.
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
here is a ppt of lines and angles class 9th
you can watch it and please comment on it
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The power point explains the formation of an angle,different types of angles,complementary and supplementary angles and vertical angles with suitable examples.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
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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.
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.
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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.
2. COLLINEAR POINTS:
If three or more than
three points lie on a
line are called as
collinear points
otherwise the points
are called as non-
collinear points.
3. TYPES OF ANGLES:
•ACUTE ANGLE:
If the measure of angle is
less than 90º and greater
than 0º,the angle is
known as acute angle.
4. RIGHT ANGLE:
An angle which measures
exactly 90º is called as Right
Angle.
5. OBTUSE ANGLE
•An angle whose
measure is greater than
90° but less than 180°
is called an obtuse
angle.
6. STRAIGHT ANGLE:
An angle whose measure is 180° is called a straight angle.
∠XOY shown in the above figure is a straight
angle.
A straight angle is equal to two right angles.
7. REFLEX ANGLE:
• Reflex Angle is more than 180° but less than 360°.
• ⎳AOB=60°
• Reflex of ⎳AOB=360-60=300°
8. COMPLEMENTARY
ANGLE: If the sum of mesure of any
two angles is 90° then the angles
are called as complementary angle.
In this figure, two angles i.e, 60˚ and
30˚ are Complementary Angles.
As, 60˚ + 30˚ = 90˚
9. SUPPLEMENTARY ANGLE:
• If the sum of measure of any two angles is 180º , then the
angle is known as supplementary angle.
⎳ABC+⎳PQB
120+60
=180º
A
B C
A
B C
10. ✹ADJACENT ANGLE:
Two angles are adjacent if they
have a common vertex a cmmon
arm and their non-common arms
on different sides of the common
arm.
11. LINEAR PAIR OF ANGLES:
⎳ACD AND ⎳DCB are linear pair of angles
The sum of
angles is always
180º
12. VERTICALLY OPPOSITE ANGLES
• AB AND CD intersect each
other,say that at point O.There
are 2 pairs pf vertically
opposite angles.
13. INTERSECTING AND NON-
INTERSECTING LINES
Line PQ AND RS are known as intersecting lines as both
have only one common point.
The lines which do not have any common point are known
as non-intersecting or parallel lines.
14. INTERSECTING AND NON-
INTERSECTING LINES
Line PQ AND RS are known as intersecting lines as both
have only one common point.
The lines which do not have any common point are known
as non-intersecting or parallel lines.
15. AXIOM 6.1:IF A RAY STANDS ON A
LINE, THEN THE SUM OF TWO
ADJACENT ANGLES FORMED BY
THAT RAY IS 180°.
40◦140
16. AXIOM 6.2: IF THE SUM OF TWO ADJACENT
ANGLES IS 180°, THEN THE NON-COMMON
ARMSOF THE ANGLES FORM A LINE.
