# Does the order matter when performing composite transformations?

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## Does order matter in sequence of transformations?

The order does not matter. Algebraically we have y=12f(x3). Of our four transformations, (1) and (3) are in the x direction while (2) and (4) are in the y direction. The order matters whenever we combine a stretch and a translation in the same direction.

## Which way do you perform composite transformations?

The transformations are performed in order from right to left. Recall the following notation for translations, reflections, and rotations: Translation: Ta,b:(x,y)→(x+a,y+b) is a translation of a units to the right and b units up.

## Does order matter in rigid transformations?

With a rigid transformation, figures like polygons have corresponding sides of the same length and corresponding angles of the same measure. … There are many ways to show that 2 figures are congruent since many sequences of transformations take a figure to the same image. However, order matters in a set of instructions.

## Does the order of a sequence of transformations matter when showing similarity?

When two shapes are similar but not congruent, the sequence of steps showing the similarity usually has a single dilation and then the rest of the steps are rigid transformations. … It does not matter which figure you start with.

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## Does the order of rotation and translation matter?

In a composite transformation, the order of the individual transformations is important. For example, if you first rotate, then scale, then translate, you get a different result than if you first translate, then rotate, then scale.

## Does the order of transformations in a composite of transformations make a difference?

Remember, that in a composition, one transformation produces an image upon which the other transformation is then performed. … If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph.

## Which transformations do not change the orientation of a figure?

Reflection does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.

## Does order of translation matter?

Therefore, the order is important when performing a composite transformation. Remember that the composite transformation involves a series of one or more transformations in which each transformation after the first is performed on the image that was transformed.

## What is the importance of sequence of transformation?

In a composite transformation, the order of individual transformations is important. For example, if you first rotate, then scale, then translate, you get a different result than if you first translate, then rotate, then scale. In GDI+, composite transformations are built from left to right.

## What is the sequence of rigid transformations?

Reflections, translations, rotations, and combinations of these three transformations are “rigid transformations”. While the pre-image and the image under a rigid transformation will be congruent, they may not be facing in the same direction.

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