CCII
Composites/Dilations Quiz Review
Name _______________________________________ #_______
(1) Give the ordered pair rule for each of the transformations listed below.
Translation _______________________________________________________________________________________
Rotation 90o CCW ________________________________________________________________________________
Rotation 180o _____________________________________________________________________________________
Rotation 270o CCW _______________________________________________________________________________
Reflection across the x-axis ______________________________________________________________________
Reflection across the y-axis ______________________________________________________________________
Reflection across the line y = x ___________________________________________________________________
Reflection across the line y = -x _________________________________________________________________
Size Transformation of magnitude k ____________________________________________________________
(2) Write the ordered pair rule to describe each composite transformation described below.
(a) Rotation 180o followed by a reflection across the x-axis
(b) Reflection across the line y = x followed by a translation 3 units down
(c) Rotation 90o CCW followed by a reflection across the line y = -x
(d) Rotation of 180o, followed by a reflection across the y-axis, and then followed by a rotation of 270o
CCW.
(3) Pentagon ABCDE undergoes a dilation of magnitude 5. If AB is 12 cm long, what is the length of
segment ̅̅̅̅̅̅
𝐴′𝐵′?
(4) The figure to the right shows a dilation of ∆𝐴𝐵𝐶.
(a) Determine the magnitude of the dilation.
(b) Given that angle B and B’ are right angles determine the
area of each triangle using the distance formula.
(c) Compare the lengths of AB and A’B’ and the area of ∆𝐴𝐵𝐶 and ∆𝐴′𝐵′𝐶′.
(5) If the quadrilateral to the right undergoes a translation of 8 units left and 3 units down, then
undergoes a reflection over the line y = x, what are the coordinates
of R’, S’, T’ and V’? Write your answer in matrix form.
(6) If the figure in problem 3 underwent a reflection over the line
y = x and then a translation of 8 units left and 3 units down will
R’S’T’V’ be located in the same location as they are in problem #3?
What are the coordinates of R’S’T’V’ in this composite transformation in matrix form?
(7) Write an ordered pair rule that shows the composite transformation in problem #5.
(8) Write an ordered pair rule that shows the composite transformation in problem #6.