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Lines and Angles | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage Point: Point is an exact position in space with no dimensions, represented by a dot. Ray: Ray is a part of a line that starts at an endpoint and extends infinitely away from the end point in single direction. Line or Straight line: A line or… readmore
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Point: Point is an exact position in space with no dimensions, represented by a dot.
Ray: Ray is a part of a line that starts at an endpoint and extends infinitely away from the end point in single direction.
Line or Straight line: A line or straight line is perfectly straight and extends forever in both direction.
Line segment: A line segment is the part of a line between two points. (Scroll down till end of the page)
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Intersecting lines: Two or more lines that have one and only one point in common.
Point of intersection: Point of intersection is a common point at which the intersecting lines meet.
Transversal: Transversal is a line that intersects two or more lines which lie in the same plane at distinct points.
Parallel lines: Parallel lines are the lines on a plane which never meet. They are at a distance apart.
Complementary Angles: Complementary angles are the angles whose total is equal to 90o .
Supplementary Angles: Suplementary angles are the angles whose total is equal to 180o
Adjacent Angles: Adjacent Angles are the angles which have a common vertex and a common interior points.
Linear Pair of Angles: Linear pair of angles is a pair of adjacent angles whose non-common sides are opposite rays.
Vertically Opposite Angles: Vertically opposite angles are the angles formed by two intersecting lines which have the have common arms.
Angles made by Transversal:
When two lines are intersecting by a transversal, eight angles are formed.
Transversal of Parallel Lines: If two parallel lines are intersected by a transversal, each pair of:
- Corresponding angles are congruent.
- Alternateinterior angles are congruent.
- Alternate exterior angles are congruent.
If the transversal is perpendicular to the parallellines, all of the angles formed are congruent to 90o angles.
- A line which intersects two or more given lines at distinct points is called a transversal to the given lines.
- Lines in a plane are parallel if they do not intersect when produced indefinitely in either direction.
- The distance between two intersecting lines is zero.
- The distance between two parallel lines is the same everywhere and is equal to the perpendicular distance between them.
If two parallel lines are intersected by a transversal then:
- pairs of alternate (interior orexterior) angles are equal.
- pairs of corresponding angles are equal.
- interior angles onthe same sideof the transversal are supplementary.
6. If two non-parallel lines are intersected by transversal then none of (i), (ii) and (iii) hold true in 5. 7.
If two lines are intersected by a transversal, then they are parallel if any one of the following is true:
- The angles of a pair of corresponding angles are equal.
- The angles of a pairof alternate interior angles are equal.
- The angles of a pairof interior angles on the sameside of the transversal are supplementary.
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Advanced Tools For Study Assess Interact Lines and Angles | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage Content : (Scroll down till end of the page) Study Tools Audio, Visual & Digital Content Content … Key Terms Topic Terminology Term Important Tables Table: . Assessments Test Your Learning readmore
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Advanced Tools For Study Assess Interact Physical and Chemical Changes | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage Changes can be of two types, physical and chemical. Physical changes are changes in the physical properties of substances. Due to physical chages new substances are not formed. Physical changes may be reversible. Examples: crushing a can, glowing of an electric bulb, tearing of paper, mixing… readmore
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Changes can be of two types, physical and chemical.
Physical changes are changes in the physical properties of substances.
Due to physical chages new substances are not formed.
Physical changes may be reversible.
Examples: crushing a can, glowing of an electric bulb, tearing of paper, mixing of sand and water. (Scroll down till end of the page)
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Chemical Changes are changes in which the composition and chemical properties of the substance get changed.
In chemical changes new substances are produced. The most of the chemical changes are irreversible and permanent.
Note: Some chemical changes are reversible, known as reversible chemical changes.
Example: burning of a candle, formation of curd from milk, ripening of fruits.
Some Chemical Reactions in daily life:
Rusting of Iron: Rusting is the process in which iron turns into iron oxide.
It happens when iron comes into contact with water and oxygen. The process is a type of corrosion that occurs easily under natural conditions.
Prevention of Rusting:
- By Painting
- By Oiling and greasing
- By Chromium plating
- By Galvanizing
- By Alloying
Cooking of food: Cooking causes breakdown of complex molecules of carbohydrates, fats and proteins into smaller molecules.
It is regarded as a decomposition reaction.
Cooked food is easier to digest than uncooked food.
3. Decay of Organic Substances: Microorganisms like fungi and bacteria produce enzymes which break down complex organic compounds into smaller substances.
It is also regarded as a decomposition reaction.
Some substances can be obtained in pure state from their solutions by crystallization.
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Advanced Tools For Study Assess Interact Squares and Square Roots | Assess
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Squares and Square Roots | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage Square: Number obtained when a number is multiplied by itself. It is the number raised to the power 2. 22 = 2 x 2=4(square of 2 is 4). If a natural number m can be expressed as n2, where n is also a natural number, then… readmore
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Square: Number obtained when a number is multiplied by itself. It is the number raised to the power 2. 22 = 2 x 2=4(square of 2 is 4).
If a natural number m can be expressed as n2, where n is also a natural number, then m is a square number. (Scroll down till end of the page)
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All square numbers end with 0, 1, 4, 5, 6 or 9 at unit’s place. Square numbers can only have even number of zeros at the end. Square root is the inverse operation of square.
There are two integral square roots of a perfect square number.
Positive square root of a number is denoted by the symbol For example, 32=9 gives
Perfect Square or Square number: It is the square of some natural number. If m=n2, then m is a perfect square number where m and n are natural numbers. Example: 1=1 x 1=12, 4=2 x 2=22.
Properties of Square number:
- A number ending in 2, 3, 7 or 8 is never a perfect square. Example: 152, 1028, 6593 etc.
- A number ending in 0, 1, 4, 5, 6 or 9 may not necessarily be a square number. Example: 20, 31, 24, etc.
- Square of even numbers are even. Example: 22 = 4, 42=16 etc.
- Square of odd numbers are odd. Example: 52 = 25, 92 = 81, etc.
- A number ending in an odd number of zeroes cannot be a perferct square. Example: 10, 1000, 900000, etc.
- The difference of squares of two consecutive natural number is equal to their sum. (n + 1)2– n2 = n+1+n. Example: 42 – 32 =4 + 3=7. 122– 112 =12+11 =23, etc.
- A triplet (m, n, p) of three natural numbers m, n and p is called Pythagorean
triplet, if m2 + n2 = p2: 32 + 42 = 25 = 52
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Advanced Tools For Study Assess Interact The Wonderful World of Science | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage Content : (Scroll down till end of the page) Study Tools Audio, Visual & Digital Content Content … Key Terms Topic Terminology Term Important Tables Table: . Assessments Test Your Learning readmore
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Advanced Tools For Study Assess Interact Acids, Bases and Salts | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage There are three types of Substances: Acids, Bases and Salts Acids: Acids are sour in taste. They are corrosive in nature. A concentrated acid cuts through clothes and eats away the wool. If it falls on the skin, it can cause burns. They are good conductors… readmore
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There are three types of Substances: Acids, Bases and Salts
Acids: Acids are sour in taste. They are corrosive in nature.
A concentrated acid cuts through clothes and eats away the wool.
If it falls on the skin, it can cause burns.
They are good conductors of electricity, as they allow the passage of electric current through them. (Scroll down till end of the page)
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Types of Acids:
(i) Mineral Acids: These are acids prepared from minerals present in the earth’s crust.
(ii) Organic Acids: These are acids produced by plants and animals (except hydrochloric acid).
- Weak Acids: These do not dissociate completely in solution.
- Examples: tartaric acid, lactic acid.
- Strong Acids: These dissociate completely in solution. Example: nitric acid, sulphuric acid.
Neutralization: It is the reaction between an acid and a base which results in formation of salt and water.
Acid + Base ———-> Salt + Water
Example: HCl + NaOH ———-> NaCl + H2O
Neutralisation in Everyday Life:
Indigestion: Too much acid in stomach causes indigestion. It is neutralized by taking an antacid like milk of magnesia.
Ant sting: When an ant bites, it injects formic acid into the skin. The effect is neutralized by rubbing moist baking soda (sodium hydrogen carbonate) or calamine (containing zinc carbonate).
(iii) Soil treatment: When the soil is too acidic, it is neutralized by treating with
quicklime (calcium oxide) or slaked lime (calcium hydroxide).
Bases: Bases are bitter in taste and soapy to touch.
Types of Bases:
- Weak Bases: These naturally produce less hydroxide ions in solution. Example: magnesium hydroxide, ammonium hydroxide.
- Strong Bases: These produce more number of hydroxide ions on dissolving in water. Example: Sodium hydroxide(NaOH), Potassium hydroxide (KOH)
Substances which are neither acidic nor basic are called neutral.
An acid and a base neutralise each other and form a salt. A salt may be acidic, basic or neutral in nature.
Solutions of substances that show different colour in acidic, basic and neutral solutions are called indicators.
Indicators: It is special chemical that changes its colour to indicate the presence of a chemical substance.
It is used to confirm the presence of an acid, a base or a neutral solution.
Classification of Indicators:
Natural Indicators:
- Litmus: It is extracted from lichens. It is available in the form of strips of paper or in the form of a solution.· Acid turns blue litmus red. Bases turn red litmus blue.
- Turmeric: It remains yellow in neutral and acidic solutions but turns red in alkaline solutions.
- China rose: It turns acidic solutions to dark pink (magenta) and basic solution to green.
- Red cabbage: It turns acidic solutions to red and basic solutions to blue.
Other Indicators:
- Methyl Orange: It gives pinkish red colour with acidic solutions and yellow colour with bases.
- Phenolphthalein: It is an acid-base indicator. It is colourless in acidic solutions but turns pink in alkali solutions.
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Advanced Tools For Study Assess Interact COAL AND PETROLEUM | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage Natural Resources: Resources include everything provide by the nature. They form the wealth of a country. Types of Natural Resources:(i) Inexhaustible: There are some resources that are present unlimited in nature and will not be exhausted even if used continuously. Example: Sunlight, Air. (Scroll down till… readmore
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Natural Resources: Resources include everything provide by the nature. They form the wealth of a country.
Types of Natural Resources:
(i) Inexhaustible: There are some resources that are present unlimited in nature and will not be exhausted even if used continuously.Example: Sunlight, Air. (Scroll down till end of the page)
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Natural Resources: Resources include everything provide by the nature. They form the wealth of a country.
Types of Natural Resources:
(i) Inexhaustible: There are some resources that are present unlimited in nature and will not be exhausted even if used continuously.Example: Sunlight, Air.
(ii) Exhaustible: These resources are limited and can soon get exhausted because of Coal, petroleum and natural gas are fossil fuels.
Fossil fuels were formed from the dead remains of living organisms millions of yearsago.
Fossil fuels are exhaustible resources.
Coke, coal tar and coal gas are the products of coal.
Petroleum gas, petrol, diesel, kerosene, paraffin wax, lubricating oil are
obtained by refining petroleum.Coal and petroleum resources are limited.
We should use them judiciously.
Petroleum is mixture of various constituents such as petroleum gas, petrol, diesel, lubricating oil, paraffin wax, etc.
Refining: Refining is the process of refracting the various constituents / fractions of petroleum.
It carried out in a petroleum refinery.
Natural Gas: A very important fuel as it easy to transport through pipes and can be compressed and stored under high pressure as Compressed Natural Gas (CNG).
It causes no pollution and has high calorific value.
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