Terminology
These are the three isometric transformation that we have discussed in class.
What are translations, reflections, and rotations?
This is what happens to the size, shape, and orientation of a shape during a translation.
What is, "it stays the same?"
This is the name for the line over which a figure is flipped.
What is the line of reflection?
This is a positive rotation.
What is counter-clockwise?
A Ferris wheel moving riders in a circle around a central hub is an example of this type of transformation?
What is a rotation?
This is what one calls a point or figure before a transformation.
What is the pre-image
This is the rule that would translate a shape four units to the left.
What is (x,y)-->(x-4,y)
After reflecting the point (2,5) over the x-axis, this is the coordinate of the image.
What is (2,-5)
This is the coordinate of the image of (1,4) after a 90 degree negative rotation.
What is (4,-1)?
If you reflect a figure over two parallel lines, one after the other, the resulting single transformation is equivalent to a ________.
What is a translation?
This term refers to transformations that preserve both size and shape.
What is isometric?
Point A is at (2,2). This is the coordinate for A' after the the translation (x,y)-->(x+3,y-2)
What is (5,0)
This the coordinate of the image of A (4,-3) after a reflection over the line y=-x.
What is (3,-4).
A 270 degrees negative rotation is the same as this positive rotation.
What is 90 degrees?
If you reflect a figure over two intersecting lines, the resulting single transformation is equivalent to a ________.
What is a rotation?
This is the symbol used to denote an image.
What is the prime notation?
What is the translation that maps the point (-4,-3) to the point (-6, 2)
What is (x,y)-->(x-2,y+5)
This following is the rule for a reflection over this line: (x,y)-->(y,x)
What is y=x?
This is a "half-turn?"
What is a 180 degrees rotation?
This translation will yield the same image for the point (3, 5) as a reflection over the y-axis.
What is (x,y)-->(x-6,y)?
This means that two shapes have the same size and shape.
What is congruent?
After the translation (x,y)-->(x+4,y-3), the coordinate of the image is (-2,1). This is the coordinate of the pre-image.
What is (-6,4)?
This is the coordinate of the pre-image after a reflection over the line x=2 with an image of (3,4).
What is (1,4)?
This rotation will map A (-3,5) to A' (3,-5)
What is a 180 degrees?
This famous artist used translations, rotations, and reflections to create complex interlocking patterns called tessellations.
Who is M. C. Escher?