Lines, Angles and Triangles
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Lines can be straight, curved, or a combination. A line has length but no width or thickness. An angle is formed by two rays with a common endpoint. There are different types of angles including acute, right, obtuse, straight, and reflex angles. A triangle is a three-sided polygon. Triangles can be categorized based on side length as scalene, isosceles, or equilateral triangles, and based on angles as right, obtuse, or acute triangles. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Lines, Angles and Triangles
- 2. LINES
- 3. A line is a series or connection of points. It has length but has no width or thickness. It may be straight, curved or a combination of the two.
- 4. A straight line is unlimited in extent. It may be extended in either direction infinitely. It is generated by a point moving always in the same direction.
- 5. A curved line is generated by a point moving in a continuously changing direction.
- 6. A ray is the part of a straight line beginning at a given point and extending limitlessly in one direction.
- 7. A line segment is a part of a straight line between two of its points. The two points of line segment is called endpoints.
- 8. A line is named or designated by capital letters of any two points or by a small letter.
- 9. ANGLES
- 10. An angle is a figure formed by two rays with a common endpoint. The rays are the sides of an angle, while the end point is its vertex.
- 11. Kinds of Angles: Acute angle – is an angle that measures less than 90◦ Right angle – is an angle that measures exactly 90◦
- 12. Obtuse angle – is an angle whose measure is more than 90◦ and less than 180◦ Straight angle – is an angle that measures exactly 180◦
- 13. Reflex angle – is an angle whose measure is more than 180◦ and less than 360◦
- 16. TRIANGLES
- 17. A triangle is a polygon having three sides.
- 18. Kinds of Triangles: (According to LENGTH of Sides) Scalene triangle – is a triangle having no congruent sides
- 19. Isosceles triangle – is a triangle having at least two congruent sides Equilateral triangle – is a triangle having three equal sides
- 20. Kinds of Triangles: (According to the its ANGLES) Right triangle – is a triangle having a right angle
- 21. Obtuse triangle – is a triangle having an obtuse angle Acute triangle – is a triangle having three acute angles
- 22. The Pythagorean Theory: a2 = b2 + c2 A theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
- 23. End of Presentation … THANK YOU !!!
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