geometry power point
DESCRIPTION
power point presentation for classes 7-infinitycontains all the informationTRANSCRIPT
7/18/2019 Geometry Power Point
http://slidepdf.com/reader/full/geometry-power-point 1/70
Three-dimensional Shapes (3D)
• These shapes are
solid or hollow, you
could hold them in
your hand.
• They have three
dimensions: length,width and height.
7/18/2019 Geometry Power Point
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Solid• shape you can
hold (3D).
• solid has length,
width and height.• !"amples:
# $u%e
# $ylinder
# Sphere
# $one
# &rism
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Sur'ace• The curved part o' a 3D
shape.
• $ylinders and cones
have sur'aces.
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ace
• &art o' a 3D shape
that is 'lat.
• !"ample: cu%e has
'aces.
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*ase• The %ottom
'ace o' a 3D
o%+ect.
BaseBase
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!dge• The line where two
'aces meet on a 3D
o%+ect.
• !"ample: cu%e has
edges.
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$orner • The point where three
or more edges touch.
• This cu%e has corners all together.
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erte" (ertices)• The point where three
or more edges meet.
• This cu%e has vertices all together.
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$u%e• 3D shape (you can
hold it).
• /t has e0ual s0uare
'aces.
• $u%es in daily li'e:
# A box # Blocks
# Dice
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$u%e• three-dimensional
shape which has:
# 6 square faces all thesame size
# 12 edges
# 8 corners
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$u%e• three-dimensional
shape which has:
# 6 square faces all thesame size
# 12 edges
# 8 vertices
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$u%e• three-dimensional
shape which has s0uare 'aces all thesame si1e, edgesand 2 vertices.
• Some 'aces parallel
• Some edges parallel
• Some 'aces perpendicular
• Some edges perpendicular
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Sphere• 3D shape (you can
hold it) that can roll.
• Sphere has no
corners or edges
• Spheres in daily li'e:
# A Ball # A Globe
# A arble
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Sphere• per'ectly round
three-dimensional
shape, lie a %all. /t
has only one curvedsur'ace.
• sphere has
# ! faces
# ! edges
# ! corners
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Sphere• per'ectly round
three-dimensional
shape, lie a %all. /t
has only one curvedsur'ace.
• sphere has
# ! faces
# ! edges
# ! vertices
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$one• 3D shape (you can
hold it) that can roll.
• $one has a circle at
its %ase and a curvedsur'ace that comes toa point at its top(verte").
• $ones in daily li'e: # "ce #ream #one
# A $art% &at
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$one• three-dimensional
shape made up o':
# a circular %ase
# a curved sur'ace thatcomes to a point at the
top (verte").
• $one has ! edges
and ! corners'
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$one• three-dimensional
shape made up o':
# a circular %ase
# a curved sur'ace thatcomes to a point at the
top (verte").
• $one has ! edges
and ! vertices'
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$ylinder • 3D shape (you can
hold it) that can roll.
• $ylinder has
e0ual circles on itsends.
• $ylinders in daily li'e: # A (ou) #an
# A *oll of +oilet $a)er
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$ylinder • three-dimensional
shape with one
curved sur'ace and
e0ual circles on itsends.
• $ylinder has 2
faces, 1 surface, !
edges and
! corners.
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$ylinder • three-dimensional
shape with one
curved sur'ace and
e0ual circles on itsends.
• $ylinder has 2
faces, 1 surface, !
edges and
! vertices.
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&yramid• three-dimensional
shape which has a
polygon 'or its %ase
and triangular 'aceswhich meet at one
point (verte").
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4ectangular &rism• 3D shape (you can
hold it).
• /t has rectangular
'aces.
• $u%es in daily li'e:
# A -leenex Box # A *efrigerator
# A #ereal Box
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4ectangular &rism• 3D shape that has:
# 6 rectangular faces
• o' those 'aces are
e0ual
# 12 edges
# 8 corners
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4ectangular &rism• 3D shape that has:
# 6 rectangular faces
• o' those 'aces are
e0ual
# 12 edges
# 8 vertices
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4ectangular &rism• 3D shape that has:
# 6 rectangular faces
• o' those 'aces are
e0ual # 12 edges
# 8 vertices
• Some 'aces are parallel
• Some edges are parallel• Some 'aces are perpendicular
• Some edges are perpendicular
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Two-Dimensional Shapes (D)
• These shapes are 'latand can only %edrawn on paper.
• They have twodimensions: lengthand width.
• They are sometimescalled plane shapes.
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Sides
• The lines you can
trace and count on
the outside o' a
D shape.
• !"ample:
triangle has 3sides. s0uare
has 5.
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&olygons• Two-dimensional
shapes that havethree or more sidesmade 'rom straightlines.
• !"amples:
# triangles # s0uares
# rectangles
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6uadrilaterals• ny two-dimensional
shapes (polygon)
with 5 straight sides
and 5 angles
• !".
rhom%us ite
rectangle trape1oid
s0uare
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6uadrilaterals• ny two-dimensionalshapes (polygon)
with 5 straight sidesand 5 angles
• The interior angles o'a 6uadrilateral addup to 37 degrees.
• !".
rhom%us ite rectangle trape1oid
s0uare
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&arallelogram• 0uadrilateral with
parallel opposite
sides o' e0ual
length.
• 8pposite angles are
e0ual.
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4ectangle• D shape with 5
corners and pairs o'
opposite, e0ual,
parallel sides.
• 4ectangles in daily
li'e:
# Door
# &iece o' &aper
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4ectangle• D shape with 5
corners and pairs o'
opposite, e0ual,
parallel sides.
• The sides meet at
right angles.
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4hom%us
• D shape with 'our
sides.
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4hom%us
• D, 'our-sided
shape with opposite
sides that are parallel.
• ll the sides are the
same length.
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4hom%us• D, 'our-sided
shape with opposite
sides that are parallel.
• ll the sides are thesame length.
• Diagonals o' a
4hom%us %isect each
other at right angles.
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Trape1oid• D shape (polygon)
with 'our sides.
• 8ne pair o' sides is
parallel.
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Trape1oid
• D shape (polygon)
with 'our sides.
• 8ne pair o' sides is
parallel.
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$ircle• D shape with no
corners or edges.
• $ircles in daily li'e:
# $loc
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Semicircle
• D shape that is
e"actly hal' o' a
circle.
• Semicircles in daily
li'e:
#9al' o' a pie
# 9al' o' a pi11a
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S0uare• D shape with 5
e0ual sides and 5
corners
• S0uares in daily li'e:
# indow
# Some loor Tiles
# Some $eiling Tiles
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S0uare• D shape (polygon)
with 5 e0ual sides
and 5 right (;7<)
angles.• 8pposite sides are
parallel.
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Triangle• Two-dimensional
shape with three
straight sides and
three corners.
• Triangles in daily li'e:
# The 'ront o' a tent
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Triangle• Two-dimensional
shape (polygon) withthree straight sidesand three angles.
• There are # isosceles triangles,
# right triangles # e0uilateral triangles
# scalene triangles
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Triangle• Two-dimensional
shape (polygon) withthree straight sidesand three angles.
• The interior angleso' a triangle add upto 27 degrees.
•There are # isosceles triangles,
# right triangles
# e0uilateral triangles
# scalene triangles
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&atterns• repeating design.
Examples:Examples:
A BA B
A A BA A B
GrowingGrowing
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=ine• long, thin
mar that
continues
'orever.
• /t has no
endpoints.
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=ine• n in'initely
long, thin, two-
dimensional
mar
• /t has no
endpoints.
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&arallel• =ines that are the
same distance apart'rom each other.
• These type o' linesstay the samedistance apart 'ortheir whole length.They do not need to
%e straight or thesame length.
• They never intersect.
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&erpendicular • =ines that intersect at
a per'ect right angle
(;7>) to one another.
• /n solid shapes,edges could %e at a
right angle to one
another.
• aces could also %eat right angles to one
another.
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/ntersecting• $rossing over one
another.
• These lines are
intersecting.
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=ine Segment• section o' line
%ounded %y two
endpoints.
• line segment
is not
continuous.
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&oint• single position
in space (dot).
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Distance• The length
%etween two
points or
o%+ects.
AA BB
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ngles• shape 'ormed
%y two lines orrays that e"tend
'rom a commonpoint (verte").
• The amount o'turning %etween
two lines thatmeet at a commonpoint (verte").
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erte" (angles)• The common
point %etween
two or more
rays or linesegments.
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cute ngle
• n angle thatmeasures less
than ;7 degrees.
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4ight ngle
• n angle whose
measure is
e"actly ;7
degrees.
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8%tuse ngle
• n angle whose
measure is more
than ;7 degrees.
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Straight ngle
• n angle whose
measure is
e"actly 27
degrees.
• straight line.
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/nterior ngles
• ny angle
inside a
polygon.
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$ongruent• Two 'igures are
congruent i' they
have the same
shape and si1e.• Two angles are
congruent i' they
have the samemeasure.
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ertical ngles• pair o' angles
directly opposite
each other 'ormed
%y the intersectiono' straight lines.
• ertical angels
are congruent(e0ual).
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/sosceles Triangle
• triangle with
e0ual sidesand e0ual
angles
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!0uilateral Triangle
• triangle with 3
e0ual sides and 3
e0ual angles.
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4ight Triangle
• triangle with one
right angle (;7
degrees).
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Scalene Triangles• triangle with 3
di''erent side
lengths and 3
di''erent anglemeasures.
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Symmetry
• n o%+ect issymmetricalwhen you can
'old it in hal' andthe two halvesare congruent.
• 8ne hal' is amirror image o'the other.
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Symmetrical .ot Symmetrical