Topics
Rational and Irrational Numbers
Parallel Lines and Transversal
- Pairs of Lines - Transversal
- Pairs of Lines - Angles Made by a Transversal
- Pairs of Lines - Transversal of Parallel Lines
- Properties of Angles Formed by Two Parallel Lines and a Transversal
- Axiom: If a Transversal Intersects Two Parallel Lines, Then Each Pair of Corresponding Angles is Equal.
- Axiom: If a Transversal Intersects Two Parallel Lines, Then Each Pair of Alternate Interior Angles Are Equal.
- Axiom: If a Transversal Intersects Two Parallel Lines, Then Each Pair of Interior Angles on the Same Side of the Transversal is Supplementary.
- To Draw a Line Parallel to the Given Line Through a Point Outside the Given Line Using Set-square.
- To Draw a Parallel Line to a Given Line at a Given Distance.
Indices and Cube Root
- Concept of Exponents
- Multiplying Powers with the Same Base
- Dividing Powers with the Same Base
- Taking Power of a Power
- Multiplying Powers with Different Base and Same Exponents
- Dividing Powers with Different Base and Same Exponents
- Numbers with Exponent Zero, One, Negative Exponents
- Meaning of Numbers with Rational Indices
- Concept of Cube Number
- Concept of Cube Root
- Cube Root Through Prime Factorisation Method
Altitudes and Medians of a Triangle
Expansion Formulae
Factorisation of Algebraic Expressions
Variation
Quadrilateral : Constructions and Types
Discount and Commission
Division of Polynomials
Statistics
Equations in One Variable
Congruence of Triangles
Compound Interest
Area
Surface Area and Volume
Circle - Chord and Arc
notes
To draw a line parallel to the given line through a point outside the given line using set - square:
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Method I: Steps of the construction
- Draw line `l`.
- Take a point P outside the line `l`.
- As shown in the figure, place two sets-squares touching each other. Hold set - squares A and B. One edge of set-square A is close to point P. Draw a line along the edge of B.
- Name the line as `m`.
- Line `m` is parallel to line `l`.
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Method II: Steps of construction
- Draw line `l`. Take a point P outside the line.
- Draw a seg PM ⊥ line `l`.
- Take another point N on line `l`.
- Draw seg NQ ⊥ line `l`. such that `l("NQ") = l("MP")`.
- The line `m` passing through points P and Q is parallel to line `l`.
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