Question

Triangle mc020-1.jpg is the image of triangle Z after a series of transformations.
mc020-2.jpg
Aliyah and Ivan described the sequence of transformations in different ways.
Aliyah’s Sequence
Ivan’s Sequence
1. a reflection of triangle Z across the y-axis
2. a dilation by a scale factor of mc020-3.jpg with the origin as the center of dilation
3. a translation 2 units up
1. a dilation of triangle Z by a scale factor of mc020-4.jpg with the origin as the center of dilation
2. a translation of 2 units up and 2 units to the left
Which sequence or sequences are correct and why?
a.Only Aliyah is correct. A dilation and translation alone could not produce triangle z'
b.Only Ivan is correct because the dilation must be the first step in the sequence.
c.Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe ot

Answer 1

................................i believe that it is c. i'm not 100 percent sure.                                                                

hope i helped a little, even though its a week late

Answer 2

Answer: A is correct.

Analysis the sequences one by one might prove the answer.

      A reflection of triangle Z across the y- axis can only produce triangle z’ in the 3rd Quadrant.

       Then followed by dilation ( i.e. proportional reduction in size) ,here it is given the scale factor as 1/2

this can be seen from the given diagram as both the height and base of Z triangle - 4 units is dilated

to 2 units.

       Translation of 2 units up can be seen from the diagram.

IMAGE