1. Properties of Translations
CH. 9 REVIEW
Properties of Translations

2. Powerpoint Jeopardy 10 20 30 40 50 Translations Reflections Rotations
Dilations
Symmetry 10 20 30 40 50

3. Translations – 10 points Name the vector and write its component form.
Category

4. Write the rule and the translation Vector for the give translation.
Transformations – 20 points
Category

5. Mary says: “Translations are isometries.”
Is she correct in her thinking? Be specific.
why or why not?
Translations – 30 points

6. Translations – 40 points The vertices of ΔABC are A(2,3), B(1,0),
and C(-2,4). Graph the image of ΔABC after
the translation (x,y)  (x+3,y-2)
Translations – 40 points

7. Translations – 50 points The vertices of ΔDEF are D(-6,7), E(-5,5),
and F(-8,4). Graph the image of ΔDEF after
the translation using the vector -1,-6.
Translations – 50 points

8. What would the word read across the line l?
How about across the line m?
Rotations – 10 points

9. Reflections – 20 points

10. The image of the point (-5,4) under a reflection across the y-axis is (?,?).
Reflections – 30 points

11. Reflect the image across the line x = 1
Reflections – 40 points

12. Reflect the image across the line y=x
Reflections – 50 points

13. TRUE OR FALSE:
Rotations – 10 points

14. Graph the image after 180 rotation
Rotations – 20 points

15. What is coordinate rule for rotating a figure 270 about the origin
What is coordinate rule for rotating a figure 270 about the origin? (a,b)  ( ?, ?)
A(1,-4) A’(?,?)
B(4,-4) B’(?,?)
C(4,-2)  C’(?,?)
D(1,-2)D’(?,?)
Then find A’,B’,C’, and D’
Rotations – 30 points

16. Rotations – 40 points (a,b)  ( ?, ?) A(-1,-1) A’(?,?)
Rotate the blue triangle 90 about the origin and graph the new image. Then list the vertices of the new image.
(a,b)  ( ?, ?)
A(-1,-1) A’(?,?)
B(2,-1) B’(?,?)
C(2,3)  C’(?,?)
Rotations – 40 points

17. Rotations – 50 points (a, b)  (?,?)
The red triangle has been rotated about the origin how many degrees?
(a, b)  (?,?)
Rotations –
50 points

18. Are dilations isometries? Explain why or why not.
Dilations – 10 points

19. Dilations – 20 points

20. Dilation – 30 points

21. Under a dilation with a scale factor of 3
Under a dilation with a scale factor of 3. Graph the new image and list the coordinates A’, B’, and C’.
Dilations – 40 points

22. Find the scale factor. Tell whether the dilation
Is a reduction or an enlargement. Find the
value of x.
Dilations– 50 points

23. Which of the following lettered items possesses line symmetry
Which of the following lettered items possesses line symmetry? List all that apply.
Symmetry – 10 points

24. Which of the following lettered items have rotational symmetry
Which of the following lettered items have rotational symmetry? List all that apply?
Symmetry – 20 points

25. Determine whether or not the dodecagon has line and/or rotational symmetry.
If it has line symmetry, draw in and identify how many lines of symmetry does it have has.
If it has rotational symmetry, identify the angles for which it has rotational symmetry.
Symmetry – 30 points

26. a) What is the smallest degree a regular n-gon can turn until it would rotate back onto itself?
b) What it the relationship between the number of side of a regular polygon to the number of lines of symmetry?
What is the smallest degree you could rotate a 180-gon, so that it would rotate onto itself?
Symmetry – 40 points

27. Use the description to draw a figure
Use the description to draw a figure. If not possible, write not possible and explain why?
a) A triangle with exactly 2 lines of symmetry
b) A quadrilateral with exactly 1 line of symmetry
c) A hexagon with no rotational symmetry
d) A hexagon with exactly 1 line of symmetry
Symmetry – 50 points