1 MENSURATION OF PLANE FIGURES.pdf - At the end of the...

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At the end of the period, you should be able to:Discuss the definition of point, line, angles and planes..Solve problems involving angles.Define and analyze the properties of Polygons. Solveproblems involving polygons.Define the properties and types of triangle. Solveproblems involving triangles.Discuss quadrilaterals and solve problems related todifferent shapes or types of quadrilaterals.Define circles, parts and formulas. Solve problemsinvolving area of circles and perimeter.Solve problems involving miscellaneous planes.
Solid Mensuration deals primarily with the varioussolids.Used in road and bridge construction, in chemicaland physical analyses, and in a large variety ofcommercial and engineering projects.4
Large part of the course involves computation ofsurface areas and the volumes of solids.A plane is pass through a solid to form a planesection.Thusitisimportantforthestudenttobethoroughly familiar with the mensuration of thestandard plane figures.5
Apointis a zero dimensionalmathematicalobject that has position only and has no length,no width nor thickness.Alineis a one-dimensional figure having nothicknessandextendinginfinitelyinbothdirections.6
Arayis a straight line which is limited from oneside and infinite from another side.7A
Asegmentorline segmentis a part of astraight line which is limited from both sides.8AB
Parallel linesare straight lines which lie in thesame plane and do not intersect no matter howlong they are extended.9L1L2
Intersecting linesare two or more differentlines that meet at the same point.10L1L2V
Transversal lineis a line that cuts across twoor more lines.11L1L2L3
Broken lineis a set of line segments connectedend to end.12
Points on the same line are said to becollinear.13wz
Aplaneis a flat surface that has length andwidth but no thickness.14
If two planes intersect, their intersection is astraight line.15AB
The intersections of two parallel planes and athird plane are parallel lines.16ADCB
Iftwoplanesareperpendicular,theirintersection is also perpendicular to that plane.17ABC
Points that are on the same plane are said to becoplanar.18CBA
Anangleis a space formed by two rays calledsidessharing a common endpoint calledvertex.19ABOθ
Degree(o/deg) is defined as the unit of anglemeasurement wherein one complete revolution isdivided into 360 parts.Radian(rad)isdefinedastheunitofanglemeasurement wherein one complete revolution isequal to 2л.Gradient(grad) is defined as the unit of anglemeasurement wherein one complete revolution isdivided into 400 parts.Mil(mil)isdefinedastheunitofanglemeasurement wherein one complete revolution isdivided into 6400 parts20

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