Back to Define transformations formally — Problem 2 · Task Set 4

Exercises: Define Transformations Formally

Work through each section in order. For problems asking you to state or explain definitions, use precise geometric vocabulary — no coordinates unless specifically requested.

Grade 9·20 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-co-a-4

Work through problems with immediate feedback

Fluency Practice

Apply the formal geometric definitions of translation, reflection, and rotation.

Complete the formal definition of a translation: "The translation along $\overrightarrow{AB}$ maps each point $P$ to the point $P'$ such that $PP'$ is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ to $AB$ , the length of $PP'$ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ the length of $AB$ , and $PP'$ and $AB$ point in the ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ direction."

geometric relationship:

length condition:

direction condition: