Question

bastian was able to map quadrilateral opqr onto onml using a reflection and a dilation.
bastian concluded:
\i was able to map quadrilateral opqr onto quadrilateral onml using a sequence of rigid transformations and dilations, so the figures are similar.\
what error did bastian make in his conclusion?
choose 1 answer:
a bastian used a reflection, so the quadrilaterals arent similar.
b bastian used a dilation, so the quadrilaterals arent similar.
c there is no error. this is a correct conclusion.

Explanation:

To determine the error in Bastian's conclusion, we analyze the concepts of similar figures. Similar figures can be mapped onto each other using a sequence of rigid transformations (like reflection, which preserves shape and size) and dilations (which change size but preserve shape).

• Option A is incorrect because reflection is a rigid transformation and does not prevent similarity.
• Option B is incorrect because dilation is a key transformation for similarity (it scales the figure while preserving shape).
• Bastian's conclusion is correct because using rigid transformations (reflection) and dilation is the definition of similar figures—they have the same shape (due to rigid transformations) and proportional sizes (due to dilation). So there is no error.

Answer:

C. There is no error. This is a correct conclusion.