Lines, Angles and Triangles

angelmaelongakit 3,065 views 25 slides Feb 05, 2014
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LINES, ANGLES, AND TRIANGLES

LINES

Lines 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 .

Lines 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.

Lines A curved line is generated by a point moving in a continuously changing direction.

Lines A ray is the part of a straight line beginning at a given point and extending limitlessly in one direction.

Lines A line segment is a part of a straight line between two of its points. The two points of line segment is called endpoints .

Lines A line is named or designated by capital letters of any two points or by a small letter .

ANGLES

Angles 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 .

Angles Kinds of Angles: Acute angle – is an angle that measures less than 90 ◦ Right angle – is an angle that measures exactly 90 ◦

Angles Obtuse angle – is an angle whose measure is more than 90 ◦ and less than 180 ◦ Straight angle – is an angle that measures exactly 180 ◦

Angles Reflex angle – is an angle whose measure is more than 180 ◦ and less than 360 ◦

Angles Examples of Angles:

Angles

TRIANGLES

Triangles A triangle is a polygon having three sides .

Triangles Kinds of Triangles: (According to LENGTH of Sides) Scalene triangle – is a triangle having no congruent sides

Triangles Isosceles triangle – is a triangle having at least two congruent sides Equilateral triangle – is a triangle having three equal sides

Triangles Kinds of Triangles: (According to the its ANGLES) Right triangle – is a triangle having a right angle

Triangles Obtuse triangle – is a triangle having an obtuse angle Acute triangle – is a triangle having three acute angles

Triangles The Pythagorean Theory : a 2 = b 2 + c 2 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.

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