Chapter 9 Review: TransformationsName:
Name the type of transformation shown.
1.______2.______3.______
4-5: Use the translation
4.What is the image of 5. What is the preimage of
is the image of after
the translation. Write the rule of the
translation. Also state the rule using words.
6.Rule______
Determine whether the figure has rotational symmetry. If so describe the rotations that map the figure onto itself.
7.______8.______
How many lines of symmetry does each shape have? Draw in the lines of symmetry.
9.______10.______
11. If the point is reflected over the x-axis what are the coordinatesof the image point?
12. If the point is reflected over the y-axis what are the coordinatesof the image pointB’?
13. If the point is reflected in the across the line y= x, what are the coordinates of the image pointC’?
14. State the point that represents the image of a
______ clockwise rotation of V about E
______ clockwise rotation of E about D
______ counterclockwise rotation of S about E
______ counterclockwise rotation of T about A
15. Use the diagram of the Ferris wheel to answer the following questions.
______Find the measure of the anglebetween any two seats.
______You are at seat position 1. At what position will you be after a clockwise rotation about the center of rotation?
______You are at seat position 7. At what position will you be after an counterclockwise rotation about the center?
______You are at seat position 8. At what position will you be after a counterclockwise rotation about the center?
16-21.Graph the transformation of the polygon in the given line. Give the image of the vertices of the polygon.
Circle the letters that have only point (rotational) symmetry.
22.DSETHUXPZI
Circle the letters that have only line symmetry
23.ABCHITV X
Circle the letters that have both point and line symmetry
24.ABCHITV X
25.Match the composition with the diagram:
_____Translate parallel to line l,then reflect in line l.
_____Rotate about Q, then translate parallel to line l.
_____Rotate about Q, then reflect in line l.
26. Describe the composition of transformations shown:
27. Apply the following composition of transformations:
Reflection in the y-axis, then a rotation about the origin.
A( , )A’( , )A’’( , )
B( , )B’( , )B’’( , )
C( , )C’( , )C’’( , )
D( , )D’( , )D’’( , )
28. Given with coordinates A(-8, 3), B(-2, -1), C(-4, -5), perform the following composition of transformations: translation up 3 units and right 4 units, then reflection in the y-axis.
A( , ) A’( , )A’’( , )
B( , )B’( , )B’’( , )
C( , )C’( , )C’’( , )
29. A dilation from ABCD to A’B’C’D’ is partially shown in
the coordinate plane. Plot points B’ and C’, then identify the
scale factor.
a.) Scale Factor:
b.) Find B’. B’( , )
c.) What are the coordinates of the point where the
diagonals intersect?
30. 31.