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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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Transcript of Professional study assignment
Everything Maths www.everythingmaths.co.za
Grade 11Geometry
Presented by Sikhumbuzo 201233151
by Siyavula on Jan 22, 2012
Guidelines to Geometry
LinesAngles
TrianglesQuadrilaterals
Circles
Line Segments
Any straight distance that starts at one spot and ends at another.
Rays
A chosen section of a line.
Line
A straight path that extends without end in opposite directions.
Intersecting lines
Two lines that cross at a point and keep going.
Perpendicular lines
Two intersecting lines with all 90 degree angles
Parallel lines
Two lines that are never able to cross as long as they don't curve.
Scalene
A triangle with no equal sides
by itutor on Jul 29,
2013
Isosceles
A triangle with only two equal sides.
Equilateral
A triangle with all equal sides and angles.
Sum of Internal Angles
The sum of all triangles is 180.
90
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
Trapezoid
A quadrilateral with one set of parallel lines
Parallelogram
A quadrilateral with two sets of parallel sides and opposite sides are congruent.
Rectangle
A shape with four connected sides and opposite sides are parallel and congruent.
Rhombus
A shape with four sides that are all congruent.
SajeelK on Dec 08, 2012s
Square
A shape with all sides congruent and opposite sides parallel.
Chord
A line going through a circle.
Diameter
The distance across a circle.
5cm
Arc
A piece of the outside edge of a circle
Radius
Half of the diameter.
Other polygons
Hexagon
Octagon
Regular Polygon
Wendy Mendoza
Hexagon
A shape with six equal sides.
Octagon
A shape with eight equal sides.
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
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.
Everything Maths www.everythingmaths.co.za
Trapezium
A trapezium is a quadrilateral with one pair of opposite sides parallel.
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
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.
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
