Shared Flashcard Set

Details

Rules of Transformations
All Words in the Packet
32
Mathematics
10th Grade
11/21/2011

Additional Mathematics Flashcards

 


 

Cards

Term
What is a line reflection?
Definition
"flips" every point of a figure over the same line
A.K.A. Mirror Image
Term
r x-axis
Definition
(x,y) goes to (x,-y)
Term
r y-axis
Definition
(x,y) goes to (-x,y)
Term
r y = x
Definition
(x,y) goes to (y,x)
Term
What to do if doing a reflection over a line that has no rule given:
Definition
Plot the point and draw the line that you are reflecting over and count one point to the line and draw it on the other side of the line
Term
Line Symmetry
Definition
creates a mirror image
Term
Types of Line Symmetry
Definition
(1) Horizontal, H
(2) Vertical, V
(3) Diagonal, D
Term
Point Symmetry
Definition
If you can put a thumbtack in the middle of the shape and you flip it 180 degrees and it is the same when it is flipped, it has point symmetry
Term
r o
Definition
Point Reflection Thur origin
Rule: (x,y) goes to (-x,-y)
Term
To find the Geometric figure on a degree rotation that you need to find the shape, what do you do?
Definition
360 divided by the degree rotation that you are doing
Term
Translation
Definition
Slides, moves
Term
T means you are doing a translation
Definition
(x + the first number after the 'T', y + the second number after the 'T')
Term
If given a point and prime point, what do you do to find the Translation rule?
Definition
Algebra! Non-Prime x or y + variable = Prime x or y
Term
Dilation
Definition
Enlargement or Reduction, size change, found as capital 'D' with a lower case 'k' next to it

(x,y) goes to (x multiplied by k, y multiplied by k)
Term
Transformation
Definition
Flips, Slides, and Turns
Symbol is a capital 'R'
Always turn counter-clockwise
Term
R90
Definition
(x,y) goes to (-y,x)
Term
R180
Definition
(x,y) goes to (-x,-y)
Term
R270
Definition
(x,y) goes to (y,-x)
Term
R360
Definition
(x,y) goes to (x,y)
Term
Isometry
Definition
a transformation that preserves distance between points. Image and Pre-Image Congruent
Term
Similarity Transformation
Definition
a transformation that produces an image that is similar to the Pre-Image but not necessarily congruent
Term
Direct Isometry
Definition
An isometry that preserves orientation. The clockwise order of the points in the image and pre-image is the same.
Term
Opposite Isometry
Definition
an isometry taht does not preserve orientation. the clockwise order of the points in the image and the pre-image is reversed.
Term
Isometries
Definition
Translation, rotation, point reflection, line reflection and glide reflection.
Term
direct ismoetries
Definition
translation, rotation and point reflection
Term
opposite ismoetries
Definition
line reflection and glide reflection
Term
distance
Definition
translation, rotation, port reflection, line reflection and glide reflection.
Term
parallelism
Definition
dilation, translation, rotation, port reflection, line reflection and glide reflection.
Term
midpoint
Definition
dilation, translation, rotation, port reflection, line reflection and glide reflection
Term
angle measure
Definition
dilation, translation, rotation, port reflection, line reflection and glide reflection
Term
collinearity
Definition
dilation, translation, rotation, port reflection, line reflection and glide reflection
Term
orientation
Definition
dilation, translation, rotation and point reflection
Supporting users have an ad free experience!