Friday, February 17, 2012

Transformations

Aim: How do we solve composition of transformation problems?

A composition transformation is when you perform 2 or more transformations.For instance reflection and then translation is called a glide reflection.

Always do the one with the circle first.



Given point A(-5,4). Determine the coordinates of A', the image of A under the composition T-5,4 r y-axis.

Reflect the points (-5,4) on the y-axis which means that the x changes to the opposite sign.
Therefore, (-5,4) becomes (5,4). Then you translate (5,4) five to the left and 4 to the right.
Your final answer is points (10,8).

Another problem would be  given point s(2,6). Determine the image of s prime after T-3,4 o r x-axis.
First you reflect point (2,6) on the x-axis . Which then the y changes to the opposite sign so the new point is (2,-6).
After, that you translate the point (2,-6) by subtracting 3 to the x and adding 4 to the y. S prime will be (-1,-2).


Question:
Given point H (3,5). Determine the image of H prime after reflection on y-axis and translation 6,-2.

1 comment:

  1. a glide reflection includes a translation along the line of reflection, not just any translation.

    be careful with the problem you solve. you say "Then you translate (5,4) five to the left and 4 to the right.
    Your final answer is points (10,8)." check again...

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