Lines, Angles and Triangles
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Transcript of Lines, Angles and Triangles
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LINES, ANGLES, AND TRIANGLES
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LINES
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LinesA 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.
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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.
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LinesA curved line is
generated by a point moving in a continuously changing direction.
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LinesA ray is the
part of a straight line beginning at a given point and extending limitlessly in one direction.
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LinesA line segment is a part
of a straight line between two of its points. The two points of line segment is called endpoints.
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Lines
A line is named or designated by capital letters of any two points or by a small letter.
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ANGLES
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AnglesAn 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.
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AnglesKinds of Angles:Acute angle – is an angle
that measures less than 90◦
Right angle – is an angle that measures exactly 90◦
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AnglesObtuse angle – is an angle
whose measure is more than 90◦ and less than 180◦
Straight angle – is an angle that measures exactly 180◦
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AnglesReflex angle – is an angle
whose measure is more than 180◦ and less than 360◦
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AnglesExamples of Angles:
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Angles
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TRIANGLES
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TrianglesA triangle is a
polygon having three sides.
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TrianglesKinds of Triangles:(According to LENGTH of Sides)
Scalene triangle – is a triangle having no congruent sides
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TrianglesIsosceles triangle – is a
triangle having at least two congruent sides
Equilateral triangle – is a triangle having three equal sides
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TrianglesKinds of Triangles:(According to the its ANGLES)
Right triangle – is a triangle having a right angle
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TrianglesObtuse triangle – is a
triangle having an obtuse angle
Acute triangle – is a triangle having three acute angles
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TrianglesThe 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.
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End of Presentation …THANK YOU !!!
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Lines
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Lines
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