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# CIRCLES .

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CIRCLES. BASIC TERMS AND FORMULAS Natalee Lloyd. Terms Center Radius Chord Diameter Circumference. Formulas Circumference formula Area formula. Basic Terms and Formulas. Center: The point which all points of the circle are equidistant to. .
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﻿CIRCLES BASIC TERMS AND FORMULAS Natalee Lloyd

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Terms Center Radius Chord Diameter Circumference Formulas Circumference equation Area recipe Basic Terms and Formulas

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Center: The point which all purposes of the circle are equidistant to.

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Radius: The separation from the inside to a point on the circle

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Chord: A portion associating two focuses on the circle.

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Diameter: A harmony that goes through the focal point of the circle.

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Circumference: The separation around a circle.

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Circumference Formula: C = 2r or C = d Area Formula: A = r 2

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Circumference Example C = 2 r C = 2 (5cm) C = 10  cm 5 cm

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Area Example A = r 2 Since d = 14 cm then r = 7cm A = (7) 2 A = 49 cm 14 cm

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Angles in Geometry Fernando Gonzalez - North Shore High School

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Intersecting Lines Two lines that share one regular point. Crossing lines can shape distinctive sorts of points.

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Complementary Angles Two edges that equivalent 90 º

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Supplementary Angles Two edges that equivalent 180 º

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Corresponding Angles that are vertically indistinguishable they share a typical vertex and have a line going through them

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Geometry Basic Shapes and cases in regular day to day existence Richard Briggs NSHS

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GEOMETRY Exterior Angle Sum Theorem

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What is the Exterior Angle Sum Theorem? The outside point is equivalent to the whole of the inside edges on the inverse of the triangle. 40 70 110 = 70 +40

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Exterior Angle Sum Theorem There are 3 outside edges in a triangle. The outside point total hypothesis applies to every single outside edge. 128 52 64 116 128 = 64 + 64 and 116 = 52 + 64

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Linking to other edge ideas As you can find in the chart, the total of the edges in a triangle is still 180 and the aggregate of the outside edges is 360. 160 20 100 80 100 80 + 80 + 20 = 180 and 100 + 100 + 160 = 360

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Geometry Basic Shapes and cases in regular day to day existence Barbara Stephens NSHS

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GEOMETRY Interior Angle Sum Theorem

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What is the Interior Angle Sum Theorem? The inside point is equivalent to the whole of the inside edges of the triangle. 40 70 110 = 70 +40

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Interior Angle Sum Theorem There are 3 inside points in a triangle. The inside edge aggregate hypothesis applies to every single inside edge. 128 52 64 116 128 = 64 + 64 and 116 = 52 + 64

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Linking to other edge ideas As you can find in the chart, the whole of the edges in a triangle is still 180. 160 20 100 80 100 80 + 80 + 20 = 180

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Geometry Parallel Lines with a Transversal Interior and outside Angles Vertical Angles By Sonya Ortiz NSHS

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Transversal Definition: A transversal is a line that converges an arrangement of parallel lines. Line An is the transversal A

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Interior and Exterior Angles Interior heavenly attendants are edges 3,4,5&6. Inside points are in within the parallel lines Exterior edges are edges 1,2,7&8 Exterior edges are on the outside of the parallel lines 1 2 3 4 5 6 7 8

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Vertical Angles Vertical edges are edges that are inverse of each other along the transversal line. Edges 1&4 Angles 2&3 Angles 5&8 Angles 6&7 These are vertical edges 1 2 3 4 5 6 7 8

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Summary Transversal line meet parallel lines. Distinctive sorts of edges are framed from the transversal line, for example, inside and outside edges and vertical edges.

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Geometry Parallelograms M. Bunquin NSHS

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Parallelograms A parallelogram is an exceptional quadrilateral whose inverse sides are harmonious and parallel. A B D C Quadrilateral ABCD is a parallelogram if and just if AB and DC are both harmonious and parallel AD and BC are both consistent and parallel

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Kinds of Parallelograms Rectangle Square Rhombus

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Rectangles Properties of Rectangles 1. All edges measure 90 degrees. 2. Inverse sides are parallel and harmonious. 3. Diagonals are compatible and they separate each other. 4. A couple of continuous points are supplementary. 5. Inverse points are consistent.

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Squares Properties of Square 1. All sides are compatible. 2. All edges are correct points. 3. Inverse sides are parallel. 4. Diagonals cut up each other and they are consistent. 5. The crossing point of the diagonals shape 4 right edges. 6. Diagonals shape comparative right triangles.

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Rhombus Properties of Rhombus 1. All sides are harmonious. 2. Inverse sides parallel and inverse points are compatible. 3. Diagonals cut up each other. 4. The convergence of the diagonals shape 4 right points. 5. A couple of continuous edges are supplementary.

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Geometry Pythagorean Theorem Cleveland Broome NSHS

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Pythagorean Theorem The Pythagorean hypothesis This hypothesis mirrors the total of the squares of the sides of a right triangle that will rise to the square of the hypotenuse. C 2 =A 2 +B 2

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A right triangle has sides a, b and c. c b an If a =4 and b=5 then what is c?

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Calculations: A 2 + B 2 = C 2 16 + 25 = 41

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To advance illuminate for the length of C Take the square base of C 41 = 6.4 This finds the length of the Hypotenuse of the right triangle.

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The hypothesis will ascertain remove when going between two goals.

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GEOMETRY Angle Sum Theorem By: Marlon Trent NSHS

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Triangles Find the total of the points of a three sided figure.

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Quadrilaterals Find the entirety of the points of a four sided figure.

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Pentagons Find the aggregate of the points of a five sided figure.

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Hexagon Find the whole of the points of a six sided figure.

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Heptagon Find the total of the points of a seven sided figure.

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Octagon Find the whole of the points of an eight sided figure.

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Complete The Chart

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What is the edge entirety recipe? Point Sum=(n-2)180 Or Angle Sum=180n-360

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A presentation by Mary McHaney

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A SQUARE IS RECTANGLE QUADRILATERAL DILEMMA THE SQUARE IS A RECTANGLE OR THE RECTANGLE IS A SQUARE

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SQUARE Characteristics: Four equivalent sides Four Right Angles

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RECTANGLE Characteristics Opposite sides are equivalent Four Right Angles

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Square and Rectangle share Four right edges Opposite sides are equivalent

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SQUARE AND RECTANGLE DO NOT SHARE: All sides are equivalent

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SO A SQUARE IS RECTANGLE A RECTANGLE IS NOT A SQUARE

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Charles Upchurch

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Types of Triangles Triangles Are Classified Into 2 Main Categories.

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Triangles Classified by Sides

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Triangles Classified by Their Sides Scalene Triangles These triangles have each of the 3 sides of various lengths.

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Isosceles Triangles These triangles have no less than 2 sides of similar length. The third side is not really an indistinguishable length from the other 2 sides.

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Equilateral Triangles These triangles have each of the 3 sides of similar length.

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Triangles Classified by their Angles

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Acute Triangles These Triangles Have All Three Angles That Each Measure Less Than 90 Degrees.

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Right Triangles These triangles have precisely one edge that measures 90 degrees. The other 2 edges will each be intense.

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Obtuse Triangles These triangles have precisely one insensitive edge, which means an edge more noteworthy than 90 degrees, yet under 180 degrees. The other 2 points will each be intense.

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Quadrilaterals A polygon that has four sides Paulette Granger

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Quadrilateral Objectives Upon consummation of this lesson, understudies will: have been acquainted with quadrilaterals and their properties. have taken in the wording utilized with quadrilaterals. have worked on making specific quadrilaterals in view of particular attributes of the quadrilaterals.

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Parallelogram A quadrilateral that contains two sets of parallel sides

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Rectangle A parallelogram with four right points

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Square A parallelogram with four harmonious sides and four right edges

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Group Activity Each gathering plan an alternate quadrilateral and demonstrate that its creation fits the sought attributes of the predetermined quadrilateral. The gatherings could then demonstrate the class what they made and how they demonstrated that the coveted attributes were available.

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Geometry Classifying Angles Dorothy J. Buchanan- - NSHS

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Right point 90 ° Straight Angle 180 °

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Acute edge 35 ° Examples Obtuse edge 135 °

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If you check out you, you\'ll see edges are all over the place. Edges are measured in degrees . A degree is a small amount of a hover—there are 360 degrees around, spoke to this way: 360 °. You can think about a right point as one-fourth of a circle, which is 360° separated by 4, or 90°. An insensitive edge measures more noteworthy than 90 ° however under 180 °.

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Complementary & Supplementary Angles Olga Cazares North Shore High School

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Complementary Angles Complementary edges are two contiguous edges whose aggregate is 90 ° 60 ° 30 ° 60 ° + 30 ° = 90 °

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Supplementary points are two neighboring edges whose whole is 180 ° Supplementary Angles 120 ° 60 ° 120 ° + 60° = 180°

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First take a gander at the photo. The points are corresponding edges. Set up the condition: 12 + x = 180 Solve for x: x = 168 ° Application 12 ° x

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Right Angles by Silvester Morris

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RIGHT ANGLES RIGHT ANGLES ARE 90 DEGREE ANGLES.

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