Transform It!

advertisement
Geometry Ch 12 Review
Jeopardy
Definitions
Name the
transformation
Transform it!
Know the
Rules!
Potpourri
Q $200
Q $200
Q $200
Q $200
Q $200
Q $400
Q $400
Q $400
Q $400
Q $400
Q $600
Q $600
Q $600
Q $600
Q $600
Q $800
Q $800
Q $800
Q $800
Q $800
Q $1000
Q $1000
Q $1000
Q $1000 Q $1000
Final Jeopardy
$200 Question
Definitions
Definition of
Translation
$200 Answer
Definitions
A transformation where all
points are moved the
same distance in the
same direction
$400 Question
Definitions
Define Isometry
$400 Answer
Definitions
A transformation that does not
change the size or shape of a
figure
$600 Question
Definitions
Define Image
$600 Answer
Definitions
The figure that is
transformed.
$800 Question
Definitions
What is the definition of Glide
reflection?
$800 Answer
Definitions
A composite transformation of
translation and reflection
$1000 Question
Definitions
What is the definition
the order of rotation?
$1000 Answer
Definitions
The number of times the
figure coincides with itself as
it rotates through 360o
$200 Question
Name the Transformation
$200 Answer
Name the Transformation
Rotation
$400 Question
Name the Transformation
$400 Answer
Name the Transformation
Translation
$600 Question
Name the Transformation
$600 Answer
Name the Transformation
Dilation
$800 Question
Name the Transformation
$800 Answer
Name the Transformation
Reflection
$1000 Question
Name the Transformation
$1000 Answer
Name the Transformation
Glide Reflection
$200 Question
Transform It!
Point A is at (4, -5).
Find A’ after a translation
along the vector <-6, 4>.
$200 Answer
Transform It!
(-2, -1)
$400 Question
Transform It!
Point A is at (-7, 1).
Find A’ after a reflection
across the line y = x.
$400 Answer
Transform It!
(1, -7)
$600 Question
Transform It!
Point A is at (8, -2).
Find A’ after a rotation by
90° counterclockwise
about the origin.
$600 Answer
Transform It!
(2, 8)
$800 Question
Transform It!
Point A is at (3, -6).
Find A’ after a dilation of -1/3
about the origin.
$800 Answer
Transform It!
(-1, 2)
$1000 Question
Transform It!
Point A is at (3, -6).
Find A’ after a reflection over
the line y = -x and then a
translation along the vector
<-4, -4>.
$1000 Answer
Transform It!
(2, -7)
$200 Question
Know the Rules!
The rule for this
transformation is
(x, y) → (-x, y)
$200 Answer
Know the Rules!
Reflection
over y-axis
$400 Question
Know the Rules!
The rule for this
transformation is
(x, y) → (y, -x)
$400 Answer
Know the Rules!
90° clockwise rotation
OR 270°
counterclockwise rotation
about the origin
$600 Question
Know the Rules!
The rule for this
transformation is
(x, y) → (-y, -x)
$600 Answer
Know the Rules!
Reflection
over y = -x
$800 Question
Know the Rules!
Write the rule you would use
to find the image
coordinates of (x, y) under a
translation of 2 units right
and 1 unit down.
$800 Answer
Know the Rules!
The rule for this
transformation is
(x, y) → (x + 2, y – 1)
$1000 Question
Know the Rules!
Write the rule you would use
to find the image coordinates
of (x, y) under a dilation with
scale factor = -1 followed by
180° rotation about the
origin.
$1000 Answer
Know the Rules!
The rule for this
transformation is
(x, y) → (x, y)
$200 Question
Potpourri
Does the figure have line
symmetry? If so, draw all lines of
symmetry.
$200 Answer
Potpourri
Yes, 2 lines of symmetry.
$400 Question
Potpourri
Does the figure have rotational
symmetry? If so, give the angle of
rotational symmetry and the order
of symmetry.
$400 Answer
Potpourri
Yes,
Angle of rotation = 72°,
Order = 5
$600 Question
Potpourri
A translation can be
interpreted as successive
reflections across two lines.
Tell what relationship the lines
must have for this to be true.
$600 Answer
Potpourri
They must be
parallel
$800 Question
Potpourri
The pre-image is
(10, -8), the image is
(2, -4). What is the
translation vector?
$800 Answer
Potpourri
<-8, 4>
$1000 Question
Potpourri
What is the scale factor of
a dilation centered at the
origin that maps A(5, -6)
to
A’(-15.5, 18.6)?
$1000 Answer
Potpourri
k = -3.1
Final Jeopardy
A hiker walks 2 miles east
and then 1 mile north, then
hikes 4 miles east and sets
up camp. What vector
describes their hike from
their starting position to
their camp?
<6, 1>
Download