Back to Define transformations formally — Problem 4 · 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.

For a reflection across line $\ell$ : if point $P$ is not on $\ell$ , then $P$ maps to $P'$ such that $\ell$ is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ to $PP'$ and passes through the ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ of $PP'$ .

relationship of ell to PP-prime:

special point on PP-prime: