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Answer 1

The sequences that would map the triangles so as to support both claims are explained below:

Transformation is a process in which the dimensions, size or orientation of a given shape is adjusted. The types are: translation, reflection, rotation and dilation.

Thus;

A. The sequence of transformations that will support Tim's thinking are:

i. Reflection of triangle A about the y-axis.

ii. Reflection of the triangle the second time now about x-axis.

iii. Translation of the triangle two units to the right (i.e towards the x-axis)

These steps would map triangle A unto triangle B supporting Tim's claim.

B. The sequence of transformations that will support Jennifer's claim are:

i. First rotate triangle A by $180^{o}$ using the origin of the axis as the reference point.

ii. Then translate triangle A two units to the right (i.e towards the x-axis).

Therefore, these steps will map triangle A unto B to support Jennifer's claim.

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