2. measure of an angle
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The document discusses units for measuring angles. It explains that a circle can be divided into 360 equal parts called degrees, with each degree comprised of 100 minutes. Common angle measures are 1 degree, 2 degrees, 3 degrees, 10 degrees, 25 degrees, 90 degrees, and 180 degrees. The document also notes that setsquares cannot be used to divide a circle into five equal parts, so another method is needed to draw and measure angles of varying sizes.
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1. angles
Using a protractor, we can measure and divide a circle into equal parts by angles of different sizes. A protractor has lines with numbers that represent degrees, allowing measurement of angles greater or less than 90 degrees. While setsquares can only divide a circle into three or six equal parts, a protractor provides a tool to accurately measure any angle size and thereby divide a circle into any number of equal parts.
5. circle division
The document discusses dividing a circle into equal parts and calculating the degree measurement of each part. It shows that when dividing a circle into 4 equal parts, each angle is 90 degrees. When dividing a circle into 8 equal parts, each angle is 45 degrees. The document asks to find the angle measurement when dividing a circle into other equal parts, such as using another corner of a set square.
6. circle divison 2
To divide a circle into 5 equal parts, the angle at the center must be 72 degrees. The steps to draw 5 equal angles of 72 degrees at the center of a circle are: 1) draw a circle, 2) draw a line from the center, 3) use a protractor to mark a 72 degree angle on the line, 4) connect the marks, 5) repeat marking 72 degree angles using the protractor until the circle is divided into 5 parts.
1.4 Measuring and Classifying Angles
The document discusses angles and how to measure them using a protractor. It provides examples of angles in everyday life and notes that the ancient Babylonians were the first to divide a circle into 360 equal parts called degrees. It explains how to properly use a protractor to measure angles, including making sure the protractor is lined up with the vertex of the angle and reading the measurement. The document also classifies different types of angles such as acute, right, obtuse, and straight angles.
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Types of angles
The document defines and provides examples of different types of angles:
- Acute, right, obtuse, straight, and reflex angles are defined by their measure in degrees.
- Adjacent angles share a vertex and side. Complementary angles add to 90 degrees. Supplementary angles add to 180 degrees.
- Vertical angles are formed by the same lines at a common vertex. Interior and exterior angles are formed when lines are crossed by a transversal. Alternate interior, exterior, and corresponding angles are pairs of angles in specific positions around a transversal.
Types of angles
This document defines and provides examples of supplementary and complementary angles. Supplementary angles add up to 180 degrees, while complementary angles add up to 90 degrees, forming a right angle. Mnemonic devices are provided to help remember the definitions, with "C" of Complementary standing for "Corner" and "S" of Supplementary standing for "Straight." Practice problems are included for the reader to determine if angles are supplementary or complementary, and to find a missing angle.
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1. angles
Using a protractor, we can measure and divide a circle into equal parts by angles of different sizes. A protractor has lines with numbers that represent degrees, allowing measurement of angles greater or less than 90 degrees. While setsquares can only divide a circle into three or six equal parts, a protractor provides a tool to accurately measure any angle size and thereby divide a circle into any number of equal parts.
5. circle division
The document discusses dividing a circle into equal parts and calculating the degree measurement of each part. It shows that when dividing a circle into 4 equal parts, each angle is 90 degrees. When dividing a circle into 8 equal parts, each angle is 45 degrees. The document asks to find the angle measurement when dividing a circle into other equal parts, such as using another corner of a set square.
6. circle divison 2
To divide a circle into 5 equal parts, the angle at the center must be 72 degrees. The steps to draw 5 equal angles of 72 degrees at the center of a circle are: 1) draw a circle, 2) draw a line from the center, 3) use a protractor to mark a 72 degree angle on the line, 4) connect the marks, 5) repeat marking 72 degree angles using the protractor until the circle is divided into 5 parts.
1.4 Measuring and Classifying Angles
The document discusses angles and how to measure them using a protractor. It provides examples of angles in everyday life and notes that the ancient Babylonians were the first to divide a circle into 360 equal parts called degrees. It explains how to properly use a protractor to measure angles, including making sure the protractor is lined up with the vertex of the angle and reading the measurement. The document also classifies different types of angles such as acute, right, obtuse, and straight angles.
Beat the Teacher
There are two main ways to express scale in maps using representative ratios or sentence statements. The rule of thumb for converting between ratio scale and meters is to add or remove two zeros. When taking grid references, they are written as northings before eastings and can be either 4 or 6 figure references depending on if they indicate an area or single point. The steps for finding a bearing involve placing the midpoint over the origin point, setting 180 degrees to south, and reading the bearing anticlockwise.
Types of angles
The document defines and provides examples of different types of angles:
- Acute, right, obtuse, straight, and reflex angles are defined by their measure in degrees.
- Adjacent angles share a vertex and side. Complementary angles add to 90 degrees. Supplementary angles add to 180 degrees.
- Vertical angles are formed by the same lines at a common vertex. Interior and exterior angles are formed when lines are crossed by a transversal. Alternate interior, exterior, and corresponding angles are pairs of angles in specific positions around a transversal.
Types of angles
This document defines and provides examples of supplementary and complementary angles. Supplementary angles add up to 180 degrees, while complementary angles add up to 90 degrees, forming a right angle. Mnemonic devices are provided to help remember the definitions, with "C" of Complementary standing for "Corner" and "S" of Supplementary standing for "Straight." Practice problems are included for the reader to determine if angles are supplementary or complementary, and to find a missing angle.
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This is a short powerpoint about angle addition postulate and how it can be used with two angles in various situations.
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This document discusses different types of angles including acute, obtuse, right, and straight angles. It defines an angle as being formed by two rays sharing an endpoint called the vertex. Angles are measured in degrees, with acute angles between 0-90 degrees, obtuse angles between 90-180 degrees, right angles equal to 90 degrees, and a straight angle equaling 180 degrees. It includes examples of each type of angle and encourages identifying them in a game.
Types of angles
The document defines and provides examples of the five main types of angles: right angles measure 90 degrees, acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, straight angles measure 180 degrees, and reflex angles are greater than 180 degrees but less than 360 degrees. Examples are given of each type of angle to illustrate how to identify them.
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An acute angle measures less than 90 degrees, a right angle equals 90 degrees, and an obtuse angle is greater than 90 degrees. A straight angle is 180 degrees. Complementary angles sum to 90 degrees, supplementary angles sum to 180 degrees, and bisecting angles split an angle in half with equal measurements. Vertical angles are non-adjacent angles formed by intersecting lines that have the same measurement, while a linear pair consists of two angles whose measurements sum to 180 degrees.
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A pie diagram presents data in the form of a circle partitioned into slices corresponding to different categories. Each category's slice represents its percentage of the total by taking up the appropriate number of degrees out of the full circle's 360 degrees. For example, a pie diagram could show that of 50 students, 5 (10%) were group A, 20 (40%) were group B, 10 (20%) were group AB, and 15 (30%) were group O.
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This document defines and describes various types of angles: acute angles are less than 90 degrees; right angles are 90 degrees; obtuse angles are greater than 90 degrees. It also defines straight angles of 180 degrees, complementary angles that sum to 90 degrees, supplementary angles that sum to 180 degrees, bisecting angles that are split in half, vertical angles that have the same measurement, and linear pairs that sum to 180 degrees.
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An angle is formed by two lines that share a common point called the vertex. Angles are measured in degrees, with a full revolution being 360 degrees. A protractor can be used to both measure and construct angles. Angles are classified as acute (<90 degrees), right (90 degrees), obtuse (>90<180 degrees), or straight (180 degrees). Complementary angles sum to 90 degrees, while supplementary angles sum to 180 degrees.
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The document defines and provides examples of the six main types of angles: acute angles which are less than 90 degrees; right angles of 90 degrees; obtuse angles between 90 and 180 degrees; straight angles of 180 degrees; reflex angles between 180 and 360 degrees; and complete angles of 360 degrees. Examples are given for each type of angle to illustrate their defining characteristics and measures.
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An angle is formed by two rays sharing a common endpoint called the vertex. There are five types of angles: acute angles less than 90 degrees, right angles equal to 90 degrees, obtuse angles greater than 90 but less than 180 degrees, straight angles equal to 180 degrees, and reflex angles greater than 180 degrees. The parts of an angle are the vertex, which is the corner point where the two arms meet, and the two arms, which are the straight sides that form the angle between them.
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This document discusses various tools used to measure angles, including protractors, bevel protractors, sine bars, sine centers, angle gauges, and clinometers. Protractors are the simplest tool and can measure angles to the nearest degree using a circular scale. Bevel protractors and vernier protractors can measure angles to the nearest minute using additional vernier scales. Sine bars and centers provide the highest accuracy below 5 minutes. Angle gauges can be combined to measure various preset angles. Clinometers are used to precisely set angular positions.
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The document defines and provides examples of the five main types of angles: right angles measure 90 degrees, acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, straight angles measure 180 degrees, and reflex angles are greater than 180 degrees but less than 360 degrees. Examples are given of each type of angle to illustrate how to identify them.
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An acute angle measures less than 90 degrees, a right angle equals 90 degrees, and an obtuse angle is greater than 90 degrees. A straight angle is 180 degrees. Complementary angles sum to 90 degrees, supplementary angles sum to 180 degrees, and bisecting angles split an angle in half with equal measurements. Vertical angles are non-adjacent angles formed by intersecting lines that have the same measurement, while a linear pair consists of two angles whose measurements sum to 180 degrees.
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This document provides instructions for constructing geometric figures using a ruler, compass, and protractor. It explains how to construct a triangle given side lengths and a parallelogram given side lengths and angles. Students are assigned homework problems constructing additional figures using the given tools and methods.
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This document defines and describes various types of angles: acute angles are less than 90 degrees; right angles are 90 degrees; obtuse angles are greater than 90 degrees. It also defines straight angles of 180 degrees, complementary angles that sum to 90 degrees, supplementary angles that sum to 180 degrees, bisecting angles that are split in half, vertical angles that have the same measurement, and linear pairs that sum to 180 degrees.
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An angle is formed by two lines that share a common point called the vertex. Angles are measured in degrees, with a full revolution being 360 degrees. A protractor can be used to both measure and construct angles. Angles are classified as acute (<90 degrees), right (90 degrees), obtuse (>90<180 degrees), or straight (180 degrees). Complementary angles sum to 90 degrees, while supplementary angles sum to 180 degrees.
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The document defines and provides examples of the six main types of angles: acute angles which are less than 90 degrees; right angles of 90 degrees; obtuse angles between 90 and 180 degrees; straight angles of 180 degrees; reflex angles between 180 and 360 degrees; and complete angles of 360 degrees. Examples are given for each type of angle to illustrate their defining characteristics and measures.
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An angle is formed by two rays sharing a common endpoint called the vertex. There are five types of angles: acute angles less than 90 degrees, right angles equal to 90 degrees, obtuse angles greater than 90 but less than 180 degrees, straight angles equal to 180 degrees, and reflex angles greater than 180 degrees. The parts of an angle are the vertex, which is the corner point where the two arms meet, and the two arms, which are the straight sides that form the angle between them.
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The document describes two activities with a plane mirror. In the first activity, a person raises their left and right hands in front of a mirror and observes that their right side appears on the left side of the image and vice versa, demonstrating lateral inversion. The second activity has a person place various objects in front of a mirror at different distances and observe that the size of the image is the same as the object but the distance between the image and mirror is equal to the distance between the object and mirror.
Period 4
This document discusses how we see our own face using mirrors and the properties of reflection. It examines the surface of plane mirrors, which have smooth surfaces that reflect light well. An experiment is described where light from a torch is directed at a mirror from different angles to observe the incident and reflected rays, and how the angle of incidence equals the angle of reflection. The smooth, plane surface of a mirror allows it to clearly reflect our face, unlike surfaces like old steel plates that lack smoothness.
Period 3
To see objects, light is required. Light travels from an object to our eyes in order for us to see the object. In a dark room without any light, we are unable to see objects as light is not available to travel from the objects to our eyes.
Period 2
Light from a torch was directed onto a mirror, steel plate, and smooth floor tile. The mirror best reflected the light due to its smooth surface. When light falls on smooth, regular surfaces like mirrors it is reflected regularly in the same direction. Light that falls on rough surfaces like cardboard, roof tiles, and cloth is reflected irregularly in many directions, which is known as diffuse reflection.
Period 1
The document describes an experiment to observe how different materials reflect, partially reflect, and absorb light. Students are instructed to shine a flashlight on objects like metal, glass, cardboard, and cloth and classify whether each material reflects light well, partially reflects light, or absorbs light. They then record their observations in a table.
Period 9
The document describes Lencho's story which appeals to the five senses through descriptions of smell, sight, taste, hearing and touch. It lists examples that appeal to each sense, such as 'Fresh and sweet air' appealing to smell and 'The field was white' appealing to sight. The document also lists occupations that can help with different needs, such as a carpenter to make a table or a doctor when one is ill.
Period 7
This document contains 5 statements, 3 of which are marked as true and 2 as false. The true statements are that Indira received many presents for her birthday, Nehru enjoyed advising his daughter, and that history describes great periods led by great men and women. The false statements are that hiding something shows fear and that Nehru wrote Indira a very long letter.
Period 6
Lencho narrates the events of posting his second letter to God requesting money to his wife. He tells her about receiving a letter from God in reply containing 70 pesos, but believing 30 pesos were stolen by corrupt post office employees. Lencho writes another letter to God expressing his doubts and demanding the remaining 30 pesos not be sent by mail.
Period 5
The postmaster would likely feel doubtful after reading Lencho's second letter. While Lencho depended on God and asked for help freely, he also doubted the innocent people at the post office. The postmaster thinks Lencho views his faith as blinded and one-sided, lacking thankfulness for the help he received. Lencho thought the post office employees were crooks because he had profound faith in God and couldn't doubt God, so he had to doubt others instead.
Period 4
Lencho received an envelope with money from God, but was only 70 pesos instead of the full 100 pesos he was expecting. He believed the post office employees had stolen the remaining 30 pesos. First, Lencho sat at a public writing table and wrote a letter. Then he went to the window to buy a stamp, licked it, and affixed it to the envelope. Finally, he dropped the letter into the mailbox, accusing the post office of theft in the letter. Lencho is described as a poor farmer with unshakable faith in God, though he may have relied on God too fully without understanding other factors.
Period 3
Lencho was a simple Mexican peasant man who worked hard like an animal in the fields. Early one morning, he wrote a letter to God asking for help, showing his great faith. The postmaster was amazed by Lencho's profound trust in God. He decided Lencho should receive a reply and tried to collect 100 pesos to give to him, though some employees thought this was foolish.
Period 2
Lencho knew it was going to rain because he had been scanning the sky all morning. When the rain started, Lencho was happy because the rain drops looked like coins falling from the sky. However, his happiness was short-lived as a hailstorm soon arrived, bringing large hailstones that destroyed the corn crop, leaving Lencho and the valley facing hunger for the year without the harvest.
Period 1
Christina Rossetti was a British poet born in 1830 in London, England. She is best known for her ballads and mystic lyrics, which are marked with symbolism and intense feeling. Her most famous work is Goblin Market and Other Poems.
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2. measure of an angle
- 2. Can we make a circle into five equal parts using a setsquare?? Using corners of a set squares, we cannot make such an angle at the centre.
- 5. We need some other method to draw and measure angles of different sizes.
- 6. What is the unit of measurement of lengths? Millimetre , centimetre, metre and kilometre Do you know the unit of measurement of angles? The measure of the angle is said to be degree( )
- 7. We can make a circle into 360 equal pieces We get the measurement of each angle as 10 The measurement of the above angle is 1 degree - 10 Double of this angle is 2 degree - 20 Triple of this angle is 3 degree - 30 10 times of this angle is 10 degree - 100 25 times of this angle is 25 degree - 250 90 times of this angle is 90 degree - 900 180 times of this angle is 180 degree - 180