What are Translations, reflections, rotations, dilations?
100
when you reflect a shape over the ___-axis, the x coordinate stays the same
What is x-axis?
100
A circle, square, or equilateral triangle rotated less than 180 degrees
What is a symmetrical rotation?
100
(2,2) translated (x,y)--->(x+7,y-7)
What is (9,-5)
100
A transformation where a translation is followed by a reflection
What is a glide reflection?
200
The only transformation that is not an isometry
What is a dilation?
200
when you reflect over the y-axis, the __ coordinate changes to its opposite
What is the x coordinate?
200
when a shape is rotated 180 degrees or less and is the same shape.
What is a symmetrical rotation?
200
a transformation that maps every two points, p and q, in the plane to points p' and q' so that the following properties are true:
-line segment pp' is parallel (or co linear) to line segment qq'
What is a translation?
200
A transformation that consists of two or more transformations performed one after another.
What is a composition?
300
A new figure that has been reflected, rotated, translated, or dilated
What is an image?
300
When you reflect a shape in the coordinate plane you reflect over this line
What is the line of reflection?
300
(-7,12) rotated 270 degrees counterclockwise about the origin
What is (12,7)?
300
translation (x,y)--->(x+9,y-2) shifts the point 9 units (left/right) and 2 units (up/down)
What are Right and down?
300
SUMMARY
some compositions are ___________ and some are not
What is commutative?
400
The operation that maps or moves the pre-image onto the image
What is a transformation?
400
the coordinate (1,5) reflected over the y-axis
What is (-1,5)
400
To describe a rotation, you need to know these.
What are the center of rotation, angle of rotation, and direction of rotation?
400
Discriptions of:
- notation
- mapping
- description
using (2,4)---->(5,10)
What are:
- notation- T(3,6)
- mapping- (x,y)--->(x+3,y+6)
- description- three units to the right, six units up
400
(8,3) translated 4 units to the right and then reflected over the x-axis
What is (12,-3)
500
a transformation that preserves lengths, angle measures, parallel lines, and distances between points. (AKA rigid transformation)
What is an isometry?
500
(1,1); (2,4); (3,2) reflected across the x-axis
What are points (1,-1); (2,-4); (3,-2)?
500
(5,-1) rotated 180 degrees about the origin
What is (-5,1)?
500
(4,3)--->(7,-13) described by a vector
What is <3,-16>
500
point (1,1) translated 1 unit to the left then reflected across the y-axis