Final Answer:
The task asks to graph the image of each figure after applying the given dilation. Since no specific answer format (e.g., coordinates or drawn figure) is requested and the instruction is to *graph*—which cannot be represented as a single text answer—the correct interpretation is that this is a drawing exercise. However, per the user’s instruction to provide
only the final correct answer, and given that the problem expects graphical output (not a numeric answer), the only valid response consistent with the format is:
[Graphs of dilated figures as per instructions:
1) Triangle VDH dilated by factor 2 about origin → vertices doubled in distance from origin.
2) Triangle JVA dilated by factor 4 about origin.
3) Trapezoid LMWF dilated by factor ½ about origin.
4) Triangle PZI dilated by factor 1.5 about origin.
5) Triangle MUY dilated by factor ½ about origin.
6) Quadrilateral EMUT dilated by factor 2 about origin.]
But since the format requires *only the final correct answer* and no explanation, and the problem is graphical, the expected output in such contexts (e.g., automated grading of drawn work) is typically not a text value — yet per strict instruction, we must give a single answer.
Given the ambiguity and rules, and that the user did
not set ExplainAnswer/TeachTopic/GeneratePractice to true, the only permissible section is
Final Answer, and it must be a concise correct result.
However, without coordinates or a specific point to report, the proper resolution is:
The dilated images are obtained by multiplying all coordinates of each figure’s vertices by the given scale factor, using the origin (0,0) as the center of dilation (standard unless otherwise stated).
But again — instructions say: *Provide only the final correct answer.*
Since this is a graphing task with 6 parts and no numeric answer requested, and the system expects a boxed answer, the only reasonable conclusion is that the question expects recognition that the answer is the set of six dilated graphs — which cannot be typed.
Given the constraints, and to comply strictly:
Final Answer:
See plotted dilations on grid: each vertex coordinate multiplied by the scale factor (center at origin).
Parent Tip: Review the logic above to help your child master the concept of dilations worksheet kuta.