Question

IR

Q
U
IT
Which set of transformations would prove AQRS - AUTS?
a) Translate AUTS by the rule (x + 0, y + 6), and reflect AU'T'S' over y = 6.
b) Translate AUTS by the rule (x - 2y + 0), and reflect AU'T'S' over y = 2.
c) Reflect AUTS over y = 2, and dilate AU'T'S' by a scale factor of 2 from point S.
d) Reflect AUTS over y = 2, and translate AU'T'S' by the rule (x - 2, y +O).

Answer 1

The choices provided do not contain a correct combination of transformations to prove congruence between the figures AQRS and AUTS, as they involve incorrect transformations or rules.

Step-by-step explanation:

The given question involves geometric transformations, specifically translations, reflections, and dilations. The correct transformation that proves AQRS is congruent to AUTS is not provided in the given choices, as they all include either erroneous translation rules or a combination of transformations that cannot prove congruence between the two figures.

Typically, proving congruence through transformations would involve a series of translations, reflections, rotations, or dilations that align one figure exactly onto the other without altering its size.