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Everything Maths www.everythingmaths.co.za Grade 11 Geometry Presented by Sikhumbuzo 201233151 by Siyavula on Jan 22, 2012
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Page 1: Professionalstudy 140306044937-phpapp01

Everything Maths www.everythingmaths.co.za

Grade 11Geometry

Presented by Sikhumbuzo 201233151

by Siyavula on Jan 22, 2012

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Guidelines to Geometry

LinesAngles

TrianglesQuadrilaterals

Circles

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Line Segments

Any straight distance that starts at one spot and ends at another.

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Rays

A chosen section of a line.

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Line

A straight path that extends without end in opposite directions.

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Intersecting lines

Two lines that cross at a point and keep going.

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Perpendicular lines

Two intersecting lines with all 90 degree angles

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Parallel lines

Two lines that are never able to cross as long as they don't curve.

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Scalene

A triangle with no equal sides

by itutor on Jul 29,

2013

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Isosceles

A triangle with only two equal sides.

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Equilateral

A triangle with all equal sides and angles.

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Sum of Internal Angles

The sum of all triangles is 180.

90

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Quadrilaterals

A shape with four angles and four sides that are all connected.

by Prateek Ahuja, Working at My life my

rules on Dec 26, 2012

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Trapezoid

A quadrilateral with one set of parallel lines

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Parallelogram

A quadrilateral with two sets of parallel sides and opposite sides are congruent.

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Rectangle

A shape with four connected sides and opposite sides are parallel and congruent.

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Rhombus

A shape with four sides that are all congruent.

 SajeelK on Dec 08, 2012s

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Square

A shape with all sides congruent and opposite sides parallel.

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Chord

A line going through a circle.

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Diameter

The distance across a circle.

5cm

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Arc

A piece of the outside edge of a circle

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Radius

Half of the diameter.

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Other polygons

Hexagon

Octagon

Regular Polygon

 Wendy Mendoza

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Hexagon

A shape with six equal sides.

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Octagon

A shape with eight equal sides.

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Using the Third Angle Thm.

22 87 180

109 180

71

m A

m A

m A

+ + < =+ < =

< =

4 15 71

4 56

14

m D m A

x

x

x

< = <+ ==

=

Find the value of x.

 herbison on Jun 10, 2008

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A. x = 4.5, y = 2.75

B. x = 2.75, y = 4.5

C. x = 1.8, y = 19

D. x = 4.5, y = 5.5

In the diagram, ΔFHJ ΔHFG. Find the values of x and y.

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Everything Maths www.everythingmaths.co.za

Trapezium

A trapezium is a quadrilateral with one pair of opposite sides parallel.

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Everything Maths www.everythingmaths.co.za

Kite

A kite is a quadrilateral with two pairs of adjacent sides equal.

●One pair of opposite angles are equal (the angles are between unequal sides).

●The diagonal between equal sides bisects the other diagonal.

●The diagonal between equal sides bisects the interior angles.

●The diagonals intersect at 90°.

 Michelle Barnhill

  Mar 17, 2011

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Everything Maths www.everythingmaths.co.za

The mid-point theorem

The mid-point theorem states that the line joining the mid-points of two sides of a

triangle is parallel to the third side and equal to half the length of the third side.

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Reference listMark,D.(2010). Basic of Geometry Grade 11 [on line],Available:file:///C:/Users/General/Downloads/11-euclidean-geometry-120122051003-phpapp02%20(1)%20(1).odp

-report –March-2010/Accessed 05 March, 2014

More sections see: www.everythingmaths.co.za

Hargadon, G.(2012).Basic geometry [online]www.geometry.com/2012/09/

Accessed on the 05 March, 2014

http://www.slideshare.net/1conejo/32-theorems-about-perpendicular-lines

Hargadon, G.(2012).Basic geometry [online]www.geometry.com/2012/09/

Accessed on the 05 March, 2014

http://www.slideshare.net/detwilerr/27-prove-angle-pair-relationships-27098638/accessed on the 05 March, 2014