Solid mensuration lecture #2
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The document discusses different types of angles and polygons. It defines acute, right, obtuse, straight, and reflex angles. It then discusses polygon parts like sides, vertices, diagonals, interior angles, and exterior angles. Various regular polygons are then named based on their number of sides from 3 to 100 sides.
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This document provides objectives and information about polygons and quadrilaterals. It defines polygons and their properties such as sides, vertices, and types. It specifically discusses quadrilaterals, stating that if a quadrilateral is divided into two triangles, the sum of the interior angles is 180 degrees for each triangle, so the total sum of interior angles in a quadrilateral is 2 * 180 = 360 degrees. An example problem demonstrates using this property to find the measure of an unknown angle.
Polygons.pptxhellohellohelloheljoigkgugj
This document provides information about polygons, including definitions, examples, and properties. It defines a polygon as a closed, two-dimensional shape made of three or more straight line segments. Regular polygons are introduced, which have equal side lengths and interior angles. Formulas are provided relating the number of sides of a regular polygon to its interior angles, number of diagonals, and sum of interior angles. Exterior angles are also discussed, with the rule that the sum of the exterior angles is always 360 degrees.
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Polygons By.leinard
The document discusses polygons and their properties. It defines polygons as closed, plane figures with three or more sides. It discusses regular polygons which have congruent sides and angles. It provides the formula to find the sum of interior angles of any polygon as 180(n-2) where n is the number of sides. It gives examples of finding sums and measures of interior angles for different polygons like triangles, quadrilaterals, pentagons using the formula. Special types of quadrilaterals with additional properties are also defined.
Polygons
The document discusses polygons and their properties. It defines polygons as closed, plane figures with three or more sides. It discusses regular polygons which have congruent sides and angles. It provides the formula to find the sum of interior angles of any polygon as 180(n-2) where n is the number of sides. It gives examples of finding sums and measures of interior angles for different polygons like triangles, quadrilaterals, pentagons using the formula. Special types of quadrilaterals with additional properties are also defined.
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Learn what polygons are? Their types, shapes, formulas in detail are. Practice, given questions for better understanding of the polygons.
1mm1g3a-sumofinteriorandexterioranglesinpolygons-170218173450.ppt
This document discusses polygons and how to find the measures of their interior and exterior angles without using a protractor. It defines polygons as closed shapes made of line segments. Polygons are named based on the number of sides and can be regular or irregular. The interior angles of any polygon sum to (n-2)×180°, where n is the number of sides. The exterior angles of any polygon sum to 360°. For regular polygons, each interior angle is the same measure and each exterior angle is 360° divided by the number of sides. The document provides examples of using these rules to find missing angle measures.
Geom11 Whirwind Tour
This document provides an overview of key concepts for calculating the areas of polygons and circles. It discusses how to find the sum of interior angles for polygons by dividing them into triangles, and how to calculate the apothem to determine the area of regular polygons. It also reviews the formulas for circumference and area of circles, as well as calculating arc length and sector area as proportions of the total circumference and total circle area.
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Circle theorems
Euclidean Geometry is another critical branch of mathematics. It weighs a lot of marks in high school math, and teachers need to teach the concept with care and inclusivity.
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Euclidean geometry is very important in Math, and it weighs a lot of marks in High school Math. This branch of mathematics develops critical thinking and reasoning skills to a learner.
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sumofinteriorandexterioranglesinpolygons-170218173450.pptx
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Mathematics Form 1-Chapter 9 polygons KBSM of form 3 chp 2
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- 2. Angle
- 3. Forms of Angles Angles Measurement Acute angle The angle measures less than 90 degrees Right angle The angle measures exactly 90 degrees Obtuse angle The angle measures greater than 90 degrees but less than 180 degrees Straight angle The angle measures exactly 180 degrees Reflex angle The angle measures greater than 180 degrees but less than 270 degrees Circular angle The angle measures exactly 360 degrees
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- 8. Polygon A polygon is a closed plane figure formed by line segments. Parts of Polygon a. sides – or the edge of the polygon, that make up the polygon. b. vertices – are the endpoints of each side c. diagonal – is a line segment joining two nonadjacent vertices of the polygon. d. interior angle – is the angle formed by two adjacent sides inside the polygon e. exterior angle – is an angle that is adjacent to and supplementary to an interior angle of the polygon.
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