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Plane Figures

Plane Figures

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Plane Figures. Triangles. acute-angled triangle. equilateral triangle. obtuse-angled triangle. isosceles triangle. isosceles right-angled triangle. right-angled triangle. Quadrilaterals. Parallelogram. Square. Rectangle. Trapezium. Kite. Rhombus. Cyclic Quadrilateral. Polygons. - PowerPoint PPT Presentation

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Page 1: Plane Figures

Plane Figures

Page 2: Plane Figures

Triangles

acute-angled triangle

equilateral triangle

isosceles triangle obtuse-angled triangle

isosceles right-angled triangle

right-angled triangle

Page 3: Plane Figures

Quadrilaterals

Square Rectangle Parallelogram Trapezium

Kite Rhombus Cyclic Quadrilateral

Page 4: Plane Figures

Polygons

Convex Polygon Concave Polygon

Page 5: Plane Figures

Hendecagon

Polygons

Triangle Quadrilateral Pentagon Hexagon

Hexadecagon

Octagon DecagonNonagonHeptagon

Icosagon

3

16 20

Dodecagon

1211

10987

654

Page 6: Plane Figures

Regular Polygons

Page 7: Plane Figures

3-D Figures

Page 8: Plane Figures

3-D Figures

pyramid

prism

(prism)cuboid

cube(prism)

cone frustum

sphere hemisphere

cylinder

Page 9: Plane Figures

Regular PolyhedraTetrahedron

F = 4

V = 4

E = 6

Octahedron

F = 8

V = 6

E = 12

Cube

F = 6

V = 8

E = 12

Dodecahedron

F = 12

V = 20

E = 30

Icosahedron

F = 20

V = 12

E = 30

Page 10: Plane Figures

Circle

Page 11: Plane Figures

Centre, Radius, Circumference

O

circumference

radius

Centre

Page 12: Plane Figures

Chord

O

diameter

O

chord

Page 13: Plane Figures

Arc arc AB (minor arc)

semi-circle arc AXB (major arc)

A

B

X

Page 14: Plane Figures

Angle at Centre

O

AP

BAOB is an angle at the centre subtended by the arc APB (or chord AB)

Page 15: Plane Figures

Angle at Circumference

APB is an angle at the circumference subtended by the arc AB (or chord AB)

O

A B

P

Page 16: Plane Figures

Sector

minor sector AOB

major sector AOB

semi-circle

Page 17: Plane Figures

Segment

segment AQB(minor segment)

segment APB(major segment)

semi-circle

Page 18: Plane Figures

Concyclic Points

A, B, C, D and E are concyclic

A

C

B

D

E

Page 19: Plane Figures

Cyclic Quadrilateral

ABCD is a cyclic quadrilateral

A

CB

D

Page 20: Plane Figures

Tangent

point of contact

secant

tangent

Page 21: Plane Figures

Centres of a Triangle

Page 22: Plane Figures

Centroid

C

median

Page 23: Plane Figures

Circumcentre

P

Perpendicularbisector

Page 24: Plane Figures

Circumcentre

P

circumscribedcircle

Page 25: Plane Figures

Incentre

I

angle bisector

Page 26: Plane Figures

Incentre

I

inscribed circle

Page 27: Plane Figures

Orthocentre

O

altitude

Page 28: Plane Figures

Centres of a Triangle

C

P

I

O

Centroid Incentre

Circumcentre Orthocentre

Median Angle Bisector

Perpendicular Bisector

Altitude