Name:
8. Tim and Jennifer are writing a program for a computer game. They need to move triangle 1 to triangle 2.
.
To move triangle 1 to triangle 2, Tim thinks:
A sequence of three transformations must be performed; and
There is only one possible way to do it.
To move triangle 1 to triangle 2, Jennifer thinks:
There are other sequences of transformations that will work; and
It can be done using fewer than three transformations.
Part A: Describe a sequence of three transformations that maps triangle 1 onto triangle 2 to support Tim's
thinking. Be specific.
.
.
Part B: If possible, support Jennifer's thinking by describing a sequence of fewer than three
transformations that maps triangle 1 onto triangle 2. Be specific.

Name 8 Tim and Jennifer are writing a program for a computer game They need to move triangle 1 to triangle 2 To move triangle 1 to triangle 2 Tim thinks A seque class=

Respuesta :

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 [tex]180^{o}[/tex] 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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