Question

1. when a composition of transformations of \\( \triangle a b c \\) is completed the new image would be labeled... \\( \triangle a b c \\) \\( \triangle a ^ { prime } b ^ { prime } c ^ { prime } \\) \\( \delta a ^ { prime prime } b ^ { prime prime } c ^ { prime prime } \\) \\( \triangle a ^ { 2 } b ^ { 2 } c ^ { 2 } \\)

Explanation:

Step1: Understand transformation notation

In geometry, when a single transformation (like translation, rotation, or reflection) is applied to a figure (e.g., \(\triangle ABC\)), the new image is labeled with a single prime, such as \(\triangle A'B'C'\).

Step2: Comprehend composition of transformations

A composition of transformations means multiple transformations are applied one after another. When more than one transformation is applied (a composition), a double - prime notation is used.

Answer:

\(\triangle A''B''C''\)