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Answer:
a. reflection across line l
b. see attached
c. no
Step-by-step explanation:
a.
The easiest transformation to put figure H' back where figure H is will be "reflection across line l". A reflection back across the same line of reflection puts the figure in its original location.
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b.
The attached figure shows the requested translation and labeling. The dim dotted figure is the original translation of H along vector EF. The reflection of that across line l is marked H''' as required.
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c.
No, figures H'' and H''' are not in the same location. One only needs to look at the diagram to see this.
In general the order of translation and reflection makes a difference. This means reflection of H to H', then translation to H'' will have a different result than translation of H to H(shadow), then reflection to H'''.
