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Section 7-3. Compositions of Transformations. When you apply one transformation to a figure and then apply another transformation on its image, the result is called a composition. A triangle is drawn with vertices: (0,0), (4,0) and (2,5). Two translations are performed on the triangle.
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Section 7-3 Compositions of Transformations
When you apply one transformation to a figure and then apply another transformation on its image, the result is called a composition.
A triangle is drawn with vertices: (0,0), (4,0) and (2,5). Two translations are performed on the triangle. (x,y) (x-6,y-4) and (x,y) (x+14,y+3). What one single translation is equivalent to the composition of these two translations. What single translation will return the second image back to the original position?
Translate the triangle using the transformation (x,y) (x-6,y-4) or
Translate the new triangle using the transformation (x,y) (x+14,y+3)
Describe the one transformation that move the original triangle to the new position. (x,y) (x-6,y-4) followed by (x,y) (x+14,y+3) Becomes (x,y) (x+8, y-1)
What one translation will return the second image back to the original? (x,y) (x-8, y+1)
Combining a translation with a reflection gives a special two-step transformation called a glide reflection.