Task:
You will create a scalene triangle (three unequal sides) in the third quadrant with vertices that have x
values from -5 to 0 and y values from -5 to 0. This triangle will be the preimage used for many different
transformations. You will make 12 different graphs, and each will have the original preimage graphed on it
to help with the transformation and grading. The graphs will show the following transformations. On each
graph you will also identify if each image is congruent or similar to the original preimage. I will NOT
require you to label each vertex with an ordered pair, however if you feel like it would benefit you please
feel free to do so.
1) Original preimage translated by vector <-3,4>
2) Original preimage translated by the rule (x,y) → (x+6, y + 2)
3) Original pre image reflected over the line y=1
4) Original preimage reflected over the line y = -x
5) Original preimage rotated 180°
6) Original preimage rotated 90°
7) Original preimage dilated by a scale factor of 2
8) Original preimage dilated by a scale factor of 2
You will also be asked to do compositions of transformations. You must show both transformations
occurring. I should see both prime and double prime points, however they do not have to be labeled with
an ordered pair. You will also have to tell if the image is congruent or similar to the original preimage twice
for each composition.
1) Glide reflection of a translation by the vector <4,0> then reflected over the x-axis
2) Translation by the rule (x, y)
(x, y + 7) then a reflection over the y-axis
3) Dilation by a factor of 1.5 then a rotation of 180°
4) Reflected over the x-axis then the y-axis