# Geometry Properties for SSC CGL Exams Tier 1, Tier 2

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# Geometry Properties for SSC CGL Exams Tier 1, Tier 2

### Geometry Properties for SSC CGL Exams Tier 1, Tier 2

In SSC CGL Geometry is considered the most important topic. It contributes around 8-10 marks in Tier 1 math and 16-18 question in **Tier 2**. It means there is 15-20% role of geometry in SSC CGL math. Out of 8-10 questions 5-6 questions are directly related to properties.

**I will cover the geometry portion in 5 articles.**

Article 1: Current article: properties of Lines, Angle,Triangle

Article 2: Properties of Quadrilateral , Polygon

Articles 3: Properties of Circle, Concept of Triplet, special points to be noted on geometry

Article 4: 20 Most important Questions on Geometry for SSC CGL

Articles : 21-40 Most Important questions on Geometry for SSC CGL exams.

**What does Geometry include?**

- Lines
- Angles
- Triangle
- Quadrilateral
- Polygon
- Circle

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*Let us discuss one by one and start with article 1 i.e. current article. *

**Lines **

AB and CD are two parallel lines. EF is a transverse line .

**vertically opposite angles**are equal e.g. ∠2 = ∠4- ∠1 and ∠2 are called
**adjacent angles** - ∠1 = ∠5 are called
**corresponding angles** - ∠4 = ∠6 are called
**alternate angles** - ∠3 + ∠6 =180° are called
**interior angles**. Useful to understand quadrilateral angles. - In other words
**interior angles**same side = 2 right angles = 180° = π radians = 1/2 turn - Sum of
**exterior angles**same side ∠2 + ∠7 = 180°

**Angle Bisector **

**Triangle two Types **

*Based on sides *

- Equilateral Triangle : All three sides equal
- Isosceles Triangle : Two sides equal
- Scalene Triangle : all three sides different

**Based on Angles**

- Right Angle Triangle : One angle 90°
- Obtuse Angle Triangle : One angle more than 90°
- Acute Angle Triangle : All angles less than 90°

**Congruence of triangles**

**What is congruence?**

When a triangle exactly covers other triangle i.e. mirror image

Triangle are always congruence when

**SSS**: When three sides are equal**ASA**: When two angles and one side equal**SAS**: When two sides and one angle equal.

Then what is **similar triangle: **

**In case of similarity**

**Median **

- Each median is split into 1:2
- Meet at a point G = Centroid

If area of triangle AGE is 24cm^{2}, then area of quadrilateral BDGF would be 48 cm^{3. }

In fact median AD divides triangle in to equal parts. Also three triangle AGB, AGC, BGC are equal.

If we join EF then area of triangle GEF are alsways equal to 1/12 of triangle ABC.

Important points about triangle:

- Sum of two sides of a triangle are always greater than third side and difference of two sides of a triangle is always smaller than third side.