1. TRANSLATE Horizontally -5B’
C ’ B C
Slide it 5 to the left

2. A’ A B’ C ’ B C TRANSLATE (6, 4)
Slide 6 to the right, then slide 4 up.)

3. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
-3, -1 A
-5, -5 B
-2, -5 C

4. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.

5. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.

6. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II

7. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II

8. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II

9. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II

10. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II

11. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II

12. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II

13. Pretend ABC is attached to the origin.
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II

14. B’ A’ C ’ ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II B’ A’
C ’

15. B’ A’ C ’ ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II
Let’s look at the old and new ordered pairs. B’ A’
C ’

16. -3, -1 B’ A’ C ’ ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II
Let’s look at the old and new ordered pairs. B’ A’
C ’
-3, -1

17. -1, 3 -3, -1 B’ A’ C ’ ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II
Let’s look at the old and new ordered pairs. B’
-1, 3 A’
C ’
-3, -1

18. -1, 3 -3, -1 B’ A’ C ’ SWITCH THE COORDINATES
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II
Let’s look at the old and new ordered pairs.
Here’s the shortcut:
SWITCH THE COORDINATES
2. TAKE THE OPPOSITE OF Y B’
-1, 3 A’
C ’
-3, -1

19. -1, 3 -3, -1 -5, -5 B’ A’ C ’ SWITCH THE COORDINATES
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II
Let’s look at the old and new ordered pairs.
Here’s the shortcut:
SWITCH THE COORDINATES
2. TAKE THE OPPOSITE OF y B’
-1, 3 A’
C ’
-3, -1
-5, -5

20. -5, 5 -1, 3 -3, -1 -5, -5 B’ A’ C ’ SWITCH THE COORDINATES
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II
Let’s look at the old and new ordered pairs.
Here’s the shortcut:
SWITCH THE COORDINATES
2. TAKE THE OPPOSITE OF Y B’
-5, 5
-1, 3 A’
C ’
-3, -1
-5, -5

21. -5, 5 -1, 3 -3, -1 -5, -5 -2, -5 B’ A’ C ’ SWITCH THE COORDINATES
ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II
Let’s look at the old and new ordered pairs.
Here’s the shortcut:
SWITCH THE COORDINATES
2. TAKE THE OPPOSITE OF Y B’
-5, 5
-1, 3 A’
C ’
-3, -1
-5, -5
-2, -5

22. ROTATE 90 CLOCKWISE
Pretend ABC is attached to the origin.
Now, give it a push -- clockwise -- into Quadrant II
Let’s look at the old and new ordered pairs.
Here’s the shortcut:
SWITCH THE COORDINATES
2. TAKE THE OPPOSITE OF THE NEW Y B’
-5, 5
-1, 3 A’
C ’
-5, 2
-3, -1
-5, -5
-2, -5

23. Give it a push into Quadrant I
ROTATE 180
-3, -1 A
Give it a push into Quadrant I
-5, -5 B
-2, -5 C

24. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

25. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

26. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

27. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

28. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

29. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

30. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

31. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

32. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

33. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

34. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

35. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

36. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

37. Give it a push into Quadrant I
ROTATE 180
Give it a push into Quadrant I

38. Give it a push into Quadrant I
ROTATE 180
C ’ B’ A’
Give it a push into Quadrant I

39. C ’ B’ A’ ROTATE 180 Give it a push into Quadrant I
Compare the old and new coordinates.

40. ROTATE 180
2, 5
C ’
5, 5 B’
3, 1 A’
-3, -1
Give it a push into Quadrant I
Compare the old and new coordinates.
-5, -5
-2, -5

41. 2, 5 5, 5 3, 1 -3, -1 -5, -5 -2, -5 C ’ B’ A’ CHANGE BOTH SIGNS.
ROTATE 180
2, 5
C ’
5, 5 B’
3, 1 A’
-3, -1
Give it a push into Quadrant I
Compare the old and new coordinates.
What’s the shortcut?
CHANGE BOTH SIGNS.
-5, -5
-2, -5

43. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV
-3, -1 A
-5, -5 B
-2, -5 C

44. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV

45. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV

46. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV

47. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV

48. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV

49. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV

50. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV

51. Give it a push into Quadrant IV
ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV A
C ’ A’ B C B’

52. A C ’ A’ B C B’ ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV
Compare the old and new coordinates. A
C ’ A’ B C B’

53. ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV
Compare the old and new coordinates.
-3, -1 A
5, -2
C ’
1, -3 A’
-5, -5 B
-2, -5 C
5, -5 B’

54. ROTATE 90 COUNTERCLOCKWISE
Give it a push into Quadrant IV
Compare the old and new coordinates.
Shortcut:
SWITCH THE COORDINATES.
2. TAKE THE OPPOSITE OF THE NEW X
-3, -1 A
5, -2
C ’
1, -3 A’
-5, -5 B
-2, -5 C
5, -5 B’

55. Pretend the x-axis is a mirror.
REFLECT ACROSS THE x-AXIS
Pretend the x-axis is a mirror.
Reflect each vertex. B’ A’
D ’
C ’ C D A B

56. Pretend the y-axis is a mirror.
REFLECT ACROSS THE y-AXIS
Pretend the y-axis is a mirror.
Reflect each vertex.
C ’ C
D ’ D A A’ B B’

57. 4, 2 -4, 2 6, -2 -2, -2 C ’ D ’ D C A B A’ B’ -2, 1 2, 1 -1, -1 3, -1
DILATE BY A FACTOR OF 2
Find the coordinates for all vertices.
4, 2
C ’
-4, 2
D ’
-2, 1
2, 1 D C
-1, -1
3, -1 A B
6, -2
-2, -2 A’ B’
Multiply each value by the factor: 2

58. DILATE BY A FACTOR OF
-6, 6 D
3, 6 C
-2, 2
D ’
1, 2
C ’
Find the coordinates for all vertices.
1/3 , -1 A’
2, -1 B’
1, -3 A
6, -3 B
Multiply each value by the factor: 1/3 or
Divide by 3