Obj. 21 Perpendicular and Angle Bisectors
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The document discusses perpendicular and angle bisectors. It states that if a point is on the perpendicular bisector of a segment, it is equidistant from the endpoints. Conversely, if a point is equidistant from the endpoints, it lies on the perpendicular bisector. Similarly, if a point is on the angle bisector, it is equidistant from the sides of the angle. Conversely, if a point is equidistant from the sides, it lies on the angle bisector. Examples are given to find measures related to bisectors.
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* Use an explicit formula for a geometric sequence.
9.2 Arithmetic Sequences
* Find the common difference for an arithmetic sequence.
* Write terms of an arithmetic sequence.
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
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Chapter 5
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Chapter 6
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Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
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1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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For Upcoming Meetups Join Mysore Meetup Group - https://meetups.mulesoft.com/mysore/YouTube:- youtube.com/@mulesoftmysore
Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N
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Obj. 21 Perpendicular and Angle Bisectors
- 1. Obj. 21 Bisectors The student is able to (I can): • Construct perpendicular and angle bisectors • Use bisectors to solve problems
- 2. Thm 5-1-1 Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. D PD = AD PE = AE E P A
- 3. Thm 5-1-2 Converse of Perp. Bisector Theorem If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment. K ST = YT S T Y
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- 5. Thm 5-1-3 Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. A L Thm 5-1-4 N AN = GN G Converse of the Angle Bisector Theorem If a point is equidistant from the sides of an angle, then it is on the angle bisector. ∠ALN ≅ ∠GLN