This is a review of all transformations including:

1. Translations

2. Line Reflections

3. Point Reflections

4. Rotations about the origin and other points: 90/180/270/360/-450 degrees

5. Dilations about the origin and other points - with scale factors less than 1 and between 0 and 1

6. Glide Reflections

Download the review sheet at:

http://www.mathfolio.com/transformationsreview

Direct links to answer explanations by question can be found below:

1:03 Q1 - Acknowledgement

1:46 Q2 - Translation of a point

3:39 Q3 - Reflection - point over the y-axis

5:41 Q4 - Reflection - point over the x-axis

7:14 Q5 - Reflection - point over y = x

9:20 Q6 - Reflection - point over y = -1

12:02 Q7 - Reflection - point over y = -x

13:47 Q8 - Reflection - point over x = 1

15:35 Q9 - Reflecting a line over the x-axis

19:44 Q10 - Point reflection - shape through the origin

23:34 Q11 - Rotation 90 degrees - about origin

29:54 Q12 - Point reflection shape through a non-origin point

34:22 Q13 - Dilation - k = 0.5 about origin

38:40 Q14 - Dilation - k = 2 about non-origin point

42:50 Q15 - Rotation - 180 degrees about origin

45:50 Q16 - Rotation - 360 degrees about origin

46:59 Q17 - Rotation - negative 450 degrees about origin

51:32 Q18 - Rotation - 90 degrees about a non-origin point

56:15 Q19 - Invariant points

57:33 Q20 - Isometry/Rigid motion

58:55 Q21 - Which transformations are isometries/rigid motions?

59:59 Q22 - Which transformations are not isometries/rigid motions?

1:00:58 Q23 - Reflection - point over y = mx + b

1:16:09 Q24 - Compound transformation

1:18:36 Q25 - What is preserved during each transformations?

Tagged under: translations,reflections,rotations,dilations,transformations,glide reflections,point reflections,invariant points,isometry,rigid motion,geometry,math,maths,mathematics

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