7
QuizMultiple Choice

Similarity and Transformations

Question 7 • Common Core Math 8 - MA3108 B-IC

Triangle is the image of triangle Z after a series of transformations.Aliyah and Ivan described the sequence of transformations in different ways.Aliyah’s SequenceIvan’s Sequence1. a reflection of triangle Z across the y-axis2. a dilation by a scale factor of with the origin as the center of dilation 3. a translation 2 units up1. a dilation of triangle Z by a scale factor of with the origin as the center of dilation 2. a translation of 2 units up and 2 units to the leftWhich sequence or sequences are correct and why?

Question illustration
Answer
A
Only Aliyah is correct. A dilation and translation alone could not produce triangle .
Option A
B
Only Ivan is correct because the dilation must be the first step in the sequence.
C
Neither Aliyah nor Ivan is correct because they both used an incorrect translation
D
Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle .
Option D