Question

Translate AHJK along i and then reflect it across line m.

OPTION 1: T(Ri(AHJK))
OPTION 2: T(i(AHJK)) ∩ Rm
OPTION 3: Rm(Ti(AHJK))
OPTION 4: R(Ti(AHJK))

Answer 1

The correct operation to translate a figure along vector 'i' and then reflect it across line 'm' is represented by the notation Rm(Ti(AHJK)), which is Option 3.

Step-by-step explanation:

The student is asking about a sequence of transformations applied to a geometric figure (AHJK), specifically a translation followed by a reflection. To properly sequence these transformations in notation, we should start with the innermost operation: the translation ('T') along vector 'i', and then apply the reflection ('R') across line 'm'. This would be notationally represented as a composition of functions where the translation is applied first, followed by the reflection.

Therefore, the correct option to translate AHJK along 'i' and then reflect it across line 'm' would be Option 3: Rm(Ti(AHJK)). This means that we first translate AHJK using the translation vector 'i', and then reflect the translated figure across line 'm'.