Question

Triangle A B C is shifted to the left to form triangle A prime B prime C prime. Triangle A prime B prime C prime is then dilated to form larger triangle A double-prime B double-prime C prime.
Determine the similarity transformations that verify △ABC ~ △A''B''C'.

The first transformation mapping △ABC to △A'B'C' is a

.

The second transformation mapping △A'B'C' to △A''B''C' is a

.

Answer 1

Similarity transformations involve two types of transformations required to map a  given object onto a similar object without a change in its dimensions. Thus the answers required are:

a. Similarity transformations - translation and dilation.

b. The first transformation is translation.

c. The second transformation is dilation.

Transformation is a process required to change the size or orientation of a given shape to form an image. The types are reflection, translation, rotation, and dilation.

i. Reflection is a type of rigid transformation in which a given shape is flipped about a given point or line.

ii. Translation involves moving a given shape in a certain direction without a change in its initial orientation.

iii. Rotation is a type of rigid transformation where a shape is turned about a given point or line at a required angle.

iv. Dilation is a process that requires either increasing or decreasing the dimension of a given shape.

Also, similarity transformations involve two types of transformations required to map a  given object onto a similar object without a change in its dimensions.

The appropriate answers to the given question are:

a. similarity transformations - translation and dilation

b. The first transformation is translation.

c. The second transformation is dilation.

for more clarifications on types of rigid transformation, visit: brainly.com/question/22882405

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