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transformations__congruence___similarity.docx
graphing_coordinate_plane.pdf
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Semester A Project
Unit 4: Transformations, Congruence & Similarity
DUE DATE: 12-4-2017
Rubric:
Criteria
Distinguished Learner
4 points
Student correctly applied
mapping rules to the preimage coordinate pairs
provided and wrote the
resulting coordinate pairs
for each image.
Student correctly applied
mapping rules to 19 or more
of the pre-image coordinate
pairs provided and correctly
wrote the resulting
coordinate pairs for 19 or
more images.
Student correctly plotted 19
Student correctly plotted or more of their transformed
images on the coordinate images and connected the
plane.
points of each resulting
triangle/quadrilateral.
Student colored or
created a pattern in the
images on the coordinate
plane.
Overall Score
Student showed creativity in
designing their transformed
images by coloring or
creating a pattern in 19 or
more images on the
coordinate plane
Distinguished Learner
12 or more
Proficient Learner
3 points
Developing Learner
2 points
Beginning Learner
1 point
Student correctly applied
mapping rules to 16-18 of
the pre-image coordinate
pairs provided and correctly
wrote the resulting
coordinate pairs for 1618 images.
Student correctly applied
mapping rules to 13-15 of
the pre-image coordinate
pairs provided and correctly
wrote the resulting
coordinate pairs for 1315 images.
Student correctly applied
mapping rules to 0-12 of the
pre-image coordinate pairs
provided and correctly
wrote the resulting
coordinate pairs for 012 images.
Student correctly plotted
16-18 of their transformed
images and connected the
points of each resulting
triangle/quadrilateral.
Student correctly plotted
13-15 of their transformed
images and connected the
points of each resulting
triangle/quadrilateral.
Student correctly plotted 012 of their transformed
images and connected the
points of each resulting
triangle/quadrilateral.
Student showed creativity in
designing their transformed
images by coloring or
creating a pattern in 1618 images on the coordinate
plane
Student showed creativity in
designing their transformed
images by coloring or
creating pattern in 1315 images on the coordinate
plane
Student showed creativity in
designing their transformed
images by coloring or
creating a pattern in 012 images on the coordinate
plane
Proficient Learner
10 or more
Developing Learner
8 or more
Beginning Learner
0 or more
Standard: 8.G.3 – Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.
Materials:
o Stained glass transformation questions
o 4 quadrant coordinate plane (one for “scrap” & one for the final product)
o Colored pencils, markers or crayons
o Ruler
Procedure:
1. Apply the rules for the different transformations described on the worksheet and then plot the resulting image on the
coordinate plane. Note: You may want to have a “scrap” coordinate plane to manually perform the transformations after
graphing the given pre-images. As you work, make sure to write the coordinates of each final transformation on the data
sheet.
2. Use a ruler to connect the points for each triangle/quadrilateral plotted.
3. After you have plotted all transformations, go back and color each transformation. You may choose the color of each
quadrilateral/triangle & color each a solid color or a pattern. Indicate the color or pattern of each transformation on your data
sheet. You can repeat a color or pattern two times at the most.
4. None of the transformations will overlap, so if you have two images overlapping, you need to double check your work!
STAINED GLASS TRANSFORMATIONS DATA SHEET
Perform each transformation using the given pre-image points. Plot the points of the new image on the provided coordinate plane.
Connect the points in each problem to make a polygon. (You may want to write the number of the shape in pencil, then erase
later). After all problems are completed, go back and color them the color or pattern you assigned to each plotted shape.
For full credit: Write the coordinates of the final transformation and write the color/pattern that you colored the final
transformation on the coordinate plane in each space in the table below. Submit your completed coordinate plane and data
sheet to the appropriate OMS folder.
1. Reflect the following points over the x-axis. (-5, 3) (-2, -6) (-4, -8)
2. Translate the following points 5 units up.
(-5, -2) (-2, 1) (-4, -7)
Color/Pattern:
3. Rotate 90 clockwise around the origin.
(-6, -2) (-3, 1) (-1, 1) (2, -4)
Color/Pattern:
4. Rotate 180 around the origin, and then translate 6
units to the left.
(-2, -8) (-6, -8) (-11, -1) (-7, -3)
Color/Pattern:
Color/Pattern:
5. Translate 7 units down, and then reflect over the yaxis.
(-1, 10) (-5, 8) (-1, 3)
6. Rotate 270 clockwise around the origin.
(8, 0) (11, -5) (14,- 2)
Color/Pattern:
Color/Pattern:
7. Translate 8 units to the right and 4 units up.
(-8, 4) (-4, 2) (-3, -3)
8. Dilate using a scale factor of 2.
(2, 3) (5, 2) (3, -2)
Color/Pattern:
Color/Pattern:
9. Rotate 90 counter clockwise around the origin, and
then reflect over the x-axis.
(-8, 0) (-11, -5) (-4, -10) (-6, -4)
10. Translate using 6 units down, and then dilate
using a scale factor of ¼.
(-16, -2) (4, -10) (4, 10)
Color/Pattern:
Color/Pattern:
11. Reflect across the y-axis, and then translate 8 units
to the left.
(-13, 1) (-14, -4) (-8, -8) (-9, -4)
12. Rotate 270 counter clockwise around the origin,
and then translate 5 units up.
(9, -6) (7, -4) (9, 1) (13, 0)
Color/Pattern:
Color/Pattern:
13. Translate 3 units to the right and then rotate 180
around the origin.
(3, 4) (7, -4) (2, -3) (1, 2)
14. Rotate 90 clockwise around the origin, and then
reflect over the x-axis.
(11, -5) (8, -4) (3, -5) (4, -10)
Color/Pattern:
Color/Pattern:
15. Translate 4 units down, and then reflect over the yaxis.
(5, 15) (4, 12) (2, 18)
16. Reflect over the x-axis, and then dilate by a scale
factor of 2.
(0, -4) (-2, -4) (-1, -7) (1, -7)
Color/Pattern:
Color/Pattern:
17. Rotate 270 clockwise around the origin, and then
translate 2 units up.
(2, 10) (9, 5) (12, 2) (12, 10)
18. Translate 5 units to the left and then rotate 180
around the origin.
(3, -14) (-5, -14) (-5, -4) (0, -11)
Color/Pattern:
Color/Pattern:
19. Dilate using a scale factor of 1/3, then reflect over
the y-axis.
(-30, 12) (-30, -24) (0, -24) (-18, -12)
20. Translate 6 units down, and then rotate 90 counter
clockwise around the origin.
(4, 16) (-8, 16) (-8, 6) (-4, 12)
Color/Pattern:
Color/Pattern:
Name __________________________________________ Date_______________
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