Reflections Assignment
Name:________________________
Date:______________
For questions 1-5 below:
a) Use graph paper to graph the pre - image in one color and the image in another color.
b) Write the algebraic (arrow) rule for the given transformation
c) Create a table of values for the pre-image and image coordinates.
1.
ABC with A(-3, 2), B(-1, 3), and C(1, 0); reflection in the x-axis.
2.
XYZ with X(2, -1), Y(4, -3), and Z(-2, 1); reflection in the y-axis.
3.
ABC with A(3, 4), B(-1, 0), and C(-2, 4); reflection in the line y = x.
4.
Parallelogram RSTU with R(-3, 2), S(3, 2), T(5, -1) and U(-1, -1); reflection in the line y = -x.
5.
Given MNP with M(2, 3), N(-1, 2), and P(1, -1).
a) Create M’N’P’ by reflecting MNP in the y-axis.
b) Create M’’N’’P’’ by reflecting M’N’P’ in the line y = x.
(Note that when you finish, you will have the graphs of 3 triangles, and two different algebraic rules.)
6. Given the coordinates of the image of parallelogram RSTU as R’(0, 2), S’(4, 2), T’(3, -2) and U’(-1, -2).
a. If the algebraic rule is (x,y)→(-x,y), determine the coordinates of the pre-image.
b. Create a table of values.
c. Describe the transformation .
7.
Given the graph of the pre-image and image of the trapezoid:
a. Create a table of values.
b. Describe the transformation.
c. Write the algebraic rule for the transformation.
8. Given the graph of the RST. Perform the algebraic rule (x,y)→(y,x)
a. Create a table of values.
b. Describe the reflection.
c. Graph the image on the graph below.