Here are the responses based on the questions provided:
Question 1
A) Explain how the SAS criterion can be used to prove similarity in two triangles.
Response: If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar.
Question 2
A) How can a similarity transformation be used to determine that the AA criterion proves the dilated triangle A′B′C′ is similar to triangle ABC?
Response: Find the angle measures of the original triangle and the dilated triangle, then compare proportionality of the ratio to the scale factor.
Question 3
A) Using the AA criterion, what would be the two corresponding angles of the dilated triangle if the original triangle has angles of 34 degrees and 80 degrees?
Response: 34 degrees and 80 degrees.
Question 4
A) How does a dilation transformation compare to translations, rotations, and reflections?
Response: Dilation transformations are the only ones that do not maintain the same side lengths.
Question 5
A) When a figure undergoes a reflection, it changes:
Response: both position and orientation.
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