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Lines and Angles | Assess
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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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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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Data Handling | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage Data Handling: Deals with the process of collecting data, presenting it and getting result. Data mostly available to us in an unorganised form is called raw data. (Scroll down till end of the page) Study Tools Audio, Visual & Digital Content Grouped data can be presented… readmore
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Data Handling: Deals with the process of collecting data, presenting it and getting result.
Data mostly available to us in an unorganised form is called raw data. (Scroll down till end of the page)
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Grouped data can be presented using histogram. Histogram is a type of bar diagram, where the class intervals are shown on the horizontal axis and the heights of the bars show the frequency of the class interval. Also, there is no gap between the bars as there is no gap between the class intervals.
In order to draw meaningful inferences from any data, we need to organise the data systematically.
Frequency gives the number of times that a particular entry occurs.
Raw data can be ‘grouped’ and presented systematically through ‘grouped frequency distribution’.
Statistics: The science which deals with the collection, presentation, analysis and interpretation of numerical data.
Observation: Each entry (number) in raw data.
Range: The difference between the lowest and the highest observation in a given data.
Array: Arranging raw data in ascending or descending order of magnitude. Data can also presented using circle graph or pie chart. A circle graph shows the relationship between a whole and its part.
There are certain experiments whose outcomes have an equal chance of occurring. A random experiment is one whose outcome cannot be predicted exactly in advance. Outcomes of an experiment are equally likely if each has the same chance of occurring.
Frequency: The number of times a particular observation occurs in the given data.
Class Interval: A group in which the raw data is condensed.
(i) Continuous: The upper limit of a class interval coincides with the lower limit of the next class.
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Metals and Non-metals | Assess
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Metals and Non-metals | Study
Mind Map Overal Idea Content Speed Notes Quick Coverage Elements are classified as metals and non-metals based on different properties. The properties of metals and non-metals are given in the form of table below- Metals Non-metals Metals are lustrous, that is, they have a property to shine. They are not lustrous, that is, they do… readmore
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Elements are classified as metals and non-metals based on different properties. The properties of metals and non-metals are given in the form of table below-
Metals Non-metals Metals are lustrous, that is, they have a property to shine. They are not lustrous, that is, they do not have shining surface. except, graphite and iodine All metals exist as solids except mercury which is liquid at room temperature. They are generally soft, except diamond. They can be drawn into wires, this is known as Ductility. They are non-ductile. Metals can be converted into sheets, this is known as Malleability, except mercury They are non-malleable They are good conductors of electricity and heat. Except Lead and mercury. They are poor conductors of electricity and heat. Exception-graphite is good conductor of electricity They have high density and high melting point. Exception-sodium and potassium have low melting points They have low density compared to metals and low melting point except Diamond which has high melting point Study Tools
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Elements are classified as metals and non-metals based on different properties. The properties of metals and non-metals are given in the form of table below-
Metals Non-metals Metals are lustrous, that is, they have a property to shine. They are not lustrous, that is, they do not have shining surface. except, graphite and iodine All metals exist as solids except mercury which is liquid at room temperature. They are generally soft, except diamond. They can be drawn into wires, this is known as Ductility. They are non-ductile. Metals can be converted into sheets, this is known as Malleability, except mercury They are non-malleable They are good conductors of electricity and heat. Except Lead and mercury. They are poor conductors of electricity and heat. Exception-graphite is good conductor of electricity They have high density and high melting point. Exception-sodium and potassium have low melting points They have low density compared to metals and low melting point except Diamond which has high melting point Chemical Properties of Metals
- Metals react with air or oxygen to form metal oxide.
For Example, Copper reacts with oxygen to form copper oxide.
Metal + O2 → Metal oxide
2Cu + O2 → 2CuO
4Al + 3O2 → 2Al2O3
- Oxides of metals can react with both acids and bases to produce salt and water. Such oxides are known as Amphoteric Oxides.
Al2O3 + 6HCl → 2AlCl3 + H2O
- Metals also reacts with water to form metal oxide. Metal oxide in turn can react with water to form metal hydroxide. For Example
2Na + 2H2O → 2NaOH + 1H2
2Al + 3H2O → Al2O3 + 3H2
- Metals also reacts with dilute acids to form salt and hydrogen. For example, magnesium reacts with dilute hydrochloric acid to form magnesium chloride and hydrogen.
Metal + Acid → Metal Salt + Hydrogen
Mg + 2HCl → MgCl2 + H2
Chemical Properties of Nonmetals
- Non-metals react with oxygen to form non-metal oxide.
Non-metal + Oxygen → Non-metal oxide
C + O2 → CO2
- Non-metals do not react with water and acids to evolve hydrogen gas.
- Non-metals can react with salt solution; more reactive elements will displace the less reactive non-metal.
2 NaBr (aq) + Cl2(aq) → 2NaCl (aq) + Br2 (aq)
- Non-metals can also react with hydrogen to form hydrides.
H2(g) + S(l) → H2S(g)
Reactivity Series
The series in which metals are arranged in the decreasing order of reactivity, it is known as Reactivity Series.
Fig.1. Reactivity Series
Ionic Compounds
Compounds formed due to the transfer of electrons from a metal to a non-metal are known as Ionic Compounds.
Covalent Bond
Bond formed by sharing of electrons between the two atoms. They share their valence electrons to gain stability.
Properties of Ionic Compounds
- They are generally hard and solid.
- They have a high melting and boiling point.
- They are soluble in water but insoluble in inorganic solvents such as ether etc.
- They are conductors of electricity in molten and solution state.
Occurrence of Metals
Elements or compounds which occur naturally in earth crust are known as Minerals. Minerals from which pure metals can be extracted are known as Mineral Ores.
Extraction of pure metals from its ores/steps for extraction of metals from its ore
- The first step is enrichment of the ore.
- Second step includes extraction of metals
- Third steps involve refining of metal
Gangue – Ores contain different impurities in it such as sand, soil etc. These impurities are known as Gangue.
Extracting Metals which are low in activity series
Metals which are low in activity series are unreactive. The oxides of such metals can be reduced to metals by heating alone. For Example, Cinnabar (HgS)
Extracting Metals in the middle of the Activity Series
These metals are moderately reactive. They exists as sulphides or carbonates in nature. Before reduction, metal sulphides and carbonates must be converted into metal oxides. Sulphide ores are converted into oxides by heating strongly in presence of excess air, this is known as Roasting. Carbonate ores are converted into oxides by heating in limited air. This is known as Calcination.
Roasting
Calcination
Reduction-metal oxides can be reduced to metals using reducing agent such as such as Carbon.
Extracting metals towards the top of the activity series
The metals are highly reactive. They cannot be obtained by heating. For Example, Sodium, magnesium and calcium are obtained by the electrolysis of their molten chlorides.
At cathode Na+ + e– → Na
At anode 2Cl– → Cl2 + 2e–
Refining of Metals
Refining of impure metal is done using electrolytic refining. Impure copper is used as anode and strip of pure copper is used as Cathode. Acidified copper sulphate is used as electrolyte. When electric current is passed through this, impure metal from the anode gets deposited in the electrolyte solution, whereas pure metal from the electrolyte is deposited at cathode.
Deposition of insoluble residue formed from the dissolution of anode during commercial electrolysis.
Electrolytic refining
Corrosion
Metals when exposed to moist air for a long period of time, they become corroded. This is known as Corrosion. For Example, Silver reacts with moist air and becomes black in colour due to silver sulphide coating.
Iron + oxygen → Iron (III) oxide
Fe + O 2 → Fe2O3
Prevention of Corrosion
- Rusting of iron can be prevented by oiling, galvanising, painting, greasing etc.
- To protect steel and iron from rusting, a thin layer of zinc is coated on them, this is known as Galvanization.
Alloy
Mixture of two or more metals or metal and non-metal is known as Alloy. For Example,
- Brass is an alloy of copper and zinc.
- Bronze in an alloy of copper and tin.
- Solder is an alloy of lead and tin.
- Amalgam is one metal that is mercury.
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