Transcript Transformations - Campbell County Schools

Transformations
By: Mrs. Fischer
Learning Targets: 8.G.2,8.G.3, 8.G.4
Follow the slides to learn more about
transformations
• Students should have paper and a pencil for
notes at their desk while going through this
presentation.
• Transformation: a transformation is a change
in position, shape or size.
• The NEW figure you create after a
transformation is known as the….? ________
• ______Notation is uses a tick mark to indicate
the new image. If Triangle ABC is the original
an A’B’C’ is the new image.
ANSWERS TO THE FILL IN
There are 4 types of transformations
• REFLECTIONS or FLIPS
• TRANSLATIONS or SLIDES
• ROTATIONS or TURNS
• DILATIONS: Enlargement or Reduction of a preimage.
Rigid
• Rigid Transformations are: reflections,
rotations and translation.
• The transformation DOES NOT alter the
size/shape of the figure.
Non Rigid
• Dilations are NON RIGID because this
transformation alters the
size/shape/orientation. A DILATION is a
SHRINK or a STRETCH
Translations
• In a translation, Every POINT is moved the
SAME distance and direction.
EX……
Translation Rules can be written in 3
different ways….
1 description 7 units to the left and 3 units down.
(A verbal description of the translation is given.)
2 mapping:
.
(This is read: "the x and y coordinates will be
translated into x-7 and y-3". Notice that adding a
negative value (subtraction), moves the image
left and/or down, while adding a positive value
moves the image right and/or up.)
3 notation:
(The -7 tells you to subtract 7 from all of your xcoordinates, while the -3 tells you to subtract 3
from all of your y-coordinates.)
This may also be seen as (x,y) = (x -7,y - 3).
Translation Rules
• Rules can be written to move a point. For
example: (x,y) (x-6, y+1) indicates I would
translate the pre-image 6 units to the left
along the X AXIS and up 1 unit on the Y AXIS.
• Q 1.Write a rule (in each of the three formats)
that would move a point 4 to the right and 5
units down.
Graph the given point
• Q2- If point A is located at (4,6), and you
translated the figure to the left 3 units and
down 2 units, What is the location of the new
point?
• Q3-If point C located at (-5,2) was translated 9
units to the right and up one unit the new
location of the point would be (-4,11)…is this
TRUE OR FALSE? Explain.
• Q. 4 If you begin at 35 degrees latitude and 120
degrees longitude what translation rule will get
you to 40 degrees latitude and 80 degrees
longitude?
• What state did you begin at?
• What state did you end at?
Click the DUDE to test YOUR
Translation SKILLS
GOOD LUCK…… Do questions 1,3,5,7,9 and 13
Navigate to the Brightstorm website by clicking the
STAR below and watch the brief video on
Reflection Transformations (you may take notes if you wish..if you need
extra practice you may click on the other problem websites after watching the concept video.).
IF YOU DO NOT WANT TO SIGN UP FOR THE FREE ACCESS WITH YOUR EMAIL YOU CAN VISIT A SIMILAR
VIDEO AT:
http://virtualnerd.com/pre-algebra/geometry/transformations-symmetry/reflecting-figures/reflect-yaxis-using-coordinates
• Rotational symmetry is when the shape or image can
be rotated and still look the same.
• Click
to interactively investigate Rotations.
(Work through mathewarehouse on the computer)
• Click
to learn about the ANGLE of
ROTATION (read through ALL the slides) You should be
able to answer questions such as: what is the angle of
rotation of an equilateral triangle? Of a regular
hexagon? Of a rectangle? You do not have to record
anything for this slide.
DILATIONS
• A dilation is a transformation that produces an
image that is the same shape as the original,
but is a different size. A dilation stretches or
shrinks the original figure.
OBSERVE: Notice
how EVERY
coordinate of the
original pentagon
has been multiplied
by the scale factor
(1/3).
Dilation CONTINUED>
To the left the pre-image of rectangle EFGH
with the center of dilation at point E and a
scale factor of ½ yields E’F’G’H’.
OBSERVE: Point E and its
image are the same. It is
important to observe the
distance from the center
of the dilation, E, to the
other points of the
figure. Notice EF = 6 and
E'F' = 3.
YOU MADE IT.
• WOOHOO!