## Topics with syllabus and resources

- Transversal
Angles made by a transversal :

- Corresponding angles
- Interior angles
- Alternate angles

- Properties of Angles Formed by Two Parallel Lines and a Transversal
Properties of angles formed by two parallel lines and a transversal :

- Property of corresponding angles
- Property of alternate angles
- Property of interior angles

- To Draw a Line Parallel to the Given Line
Construction (I) : To draw a line parallel to the given line through a point outside the given line using set - square.

Construction (II) : To draw a parallel line to a given line at a given distance.

- Indices and Cube Root
- Meaning of Numbers with Rational Indices
Meaning of numbers with rational indices

- Meaning of the numbers when the index is a rational number of the form 1/n.
- The meaning of numbers, having index in the rational form m/n.

- Cube and Cube Root

- Altitudes of a Triangle
- Height,altitude

- Medians of a Triangle
- A median connects a vertex of a triangle to the mid-point of the opposite side.

- Construction of a Quadrilateral
Construction of a quadrilateral

- To construct a quadrilateral if the lengths of four sides and a diagonal is given.
- To construct a quadrilateral if three sides and two diagonals are given.
- To construct a quadrilateral if two adjacent sides and any three angles

are given. - To construct a quadrilateral if three sides and two angles included by them

are given.

- Some Special Parallelograms
- Concept of a Rectangle
- Property: The diagonals of a rectangle are of equal length

- Concept of a Square
- Property: The diagonals of a square are perpendicular bisectors of each other.

- Concept of a Rectangle
- Kinds of Quadrilaterals
- Types of Quadrilaterals

- Concept of Finding Discounts
- Discount is a reduction given on the Marked Price

- Commission
- Rebate

- Introduction to Polynomials
- Degree of a Polynomial
- Polynomial in one variable
- Polynomial in more than one variable

- To Divide a Monomial by a Monomial
- To Divide a Polynomial by a Monomial
- To Divide a Polynomial by a Binomial

- Congruence of Triangles
- Properties of Congruent Triangle

- ASA Test
- SAS Test
- SSS Test
- Hypotenuse Side Test

- Corresponding angles of congruent triangles

- Conept of Compound Interest
**I = `"PNR"/100`.**

In this formula I = Interest, P = Principal, N = Number of years and R = Rate of interest at p.c.p.a.**For more information :**

1. Some times the interest is calculated at an interval of six months. For the duration of N years, if rate is R and if the interest to be calculated six monthly then the rate is to be taken as `R/2` and the duration is considered as 2N stages of six months.2. Many banks charge the compound interest monthly. At that time they take the interest rate as `R/12` monthly and the duration is taken 12 x N stages of months and interest is calculated.

3. Now a days banks calculate compound interest daily.

- Application of Formula for Compound Interest

- Properties of Chord of a Circle
- The perpendicular drawn from the centre of a circle to its chord bisects the chord.
- The segment joining the centre of a circle and midpoint of its chord is perpendicular to the chord.

- Arcs Corresponding to the Chord of a Circle
**Congruent arcs :**

If the measures of two arcs of circle are same then two arcs are congruent.