1. 2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Vocab 1 Vocab 2 Transformations CompositionsMiscellaneous

2. A ____________________ of a geometric figure is a change in its position, shape, or size.

3. Answer: transformation

4. The original figure in a transformation is called the __________, and the resulting figure is the __________.

5. Answer: preimage image

6. An __________ is a transformation in which the preimage and image are congruent.

7. Answer: isometry

8. A __________ maps all points of a figure the same distance in the same direction.

9. Answer: translation

10. A __________ is an isometry in which a figure and its image have opposite orientations.

11. Answer: reflection

12. To describe a __________, you need to know its center, angle, and direction.

13. Answer: rotation

14. If an isometry is the reflection of a plane figure, the figure has ____________________, or line symmetry.

15. Answer: Reflectional Symmetry

16. A transformation whose preimage and image are similar is a ____________.

17. Answer: dilation

18. If the scale factor of a dilation is greater than 1, it is an ___________. If the dilation has a scale factor between 0 and 1, it is a ___________.

19. Answer: enlargement reduction

20. A __________, or tiling, is a repeating pattern of figures that completely covers a plane without gaps or overlaps.

21. Answer: tessellation

22. Find the image of point A(2,3), after a reflection across the line x = -4.

23. Answer: A’(-10,3)

24. Find the image of point G(10,0), after a translation with a rule (x,y)→(x – 6, y + 8)

25. Answer: G’(4,8)

26. Find the image of point K(6,0), after a rotation of 90° about the point (0,0)

27. Answer: K’(0,6)

28. Find the image of segment AB with A(2,4) and B(6,4), after a reflection across the line y = x.

29. Answer: A’(4,6) and B’(4,1)

30. Find the image of CD, with C(-1,-2) and D(1,2), after a glide reflection with translation (x,y)→(x – 2, y) and reflection across the line y = 5.

31. Answer: C’(-3,12) and D’(-1,8)

32. Find the image of point B(-2,2), after a reflection across the line y = 7 and then across the line y = 3.

33. Answer: B’(-2,-6)

34. Find the image of point R(4,-5), after the translation (x,y)→(x + 4, y) followed by a reflection across the line y = -4.

35. Answer: R’(8,-3)

36. Find the image of Z(8,2), after a dilation with scale factor of ½, followed by a rotation of 180° around the origin.

37. Answer: Z’(-4,-1)

38. Find the image of GH, with G(0,0) and H(3,3), after a dilation with scale factor of 3 and center at (0,0), followed by a reflection across y = -x.

39. Answer: G’(0,0) and H’(-9,-9)

40. Find the image of T(1,1), after a translation of (x,y)→(x – 6, y + 2), followed by a reflection across y = x, followed by a dilation with scale factor of 2 with a center at (0,0).

41. Answer: T’(6,-10)

42. An equilateral triangle has 4 inch sides. Describe its image for a dilation with scale factor 2.5.

43. Answer: sides with length 10 inches angles are still 60°

44. Will a regular octagon tessellate a plane?

45. Answer: NO

46. Will a square tessellate a plane?

47. Answer: yes!

48. What two figures will ALWAYS tessellate a plane?

49. Answer: triangles & quadrilaterals

50. A dilation with scale factor 4 maps square A onto square B. The area of square B is 25. Find the area of square A.

51. Answer: 1.5625 square units