transformation project
tyler miles
reflection
A reflection is an isometry, which means the original and image are congruent, that can be described as a "flip". To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite.
All i did was just flip it over the Y axis and i did was change the first number to a then keep the second one the same. x(_,_) X'(_-,_)
A(5,8) A'(-5,8)
B(5,4) B'(-5,4)
C(2,4) C'(-2,4)
translationn
To translate a figure is to simply slide it somewhere else. But in the move, you may not change the figure in any other way. You cannot rotate it, resize it, or flip it over. You may only slide it side to side, up and down.
I moved my original figure 2 units to the right and 2 down to get my translation.(X+2, Y-2)
A(2,5) A'(4,3)
B(4,5) B'(6,3)
C(4,8) B'(6,6)
rotation
- The point of rotation is the central point around which a figure is rotated.
i used (0,0) as the point of rotation and i knew that the ( , ) would both change to the opposite.
A(2,2) A'(-2,2)
B(8,6) B'(-6,8)
C(2,10) C'(-10,2)
dilation
Dilation is where the polygon grows or shrinks but keeps the same overall shape. It's a little like zooming in or out on a camera. In the figure above, the polygon is a rectangle ABCD. As you adjust the slider on the right, the transformed rectangle A'B'C'D gets bigger and smaller, but remains the same shape.
i used my a scale factor of 4 starting point A. B x 4 C x 4
A(1,1) A'(1,1)
B(1,3) B'(1,9)
C(3,1) C'(9,1)