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The shape is enlarged by a scale factor of 3. We need to determine which letter corresponds to the position of the missing vertex in the enlarged shape.

Looking at the diagram, the smaller shape on the left has a right-angled "L" structure. The vertices on the larger grid are aligned in the same direction. Since we know that the scale factor is 3, each side of the smaller shape is multiplied by 3 in the larger grid.

By comparing the original shape with the enlarged one:
- The smaller "L" shape has a horizontal side of 1 unit and a vertical side of 2 units.
- In the enlarged shape, this would result in a horizontal side of 3 units and a vertical side of 6 units.

Now, we can check the points:
- The point marked "A" is the top-left corner of the enlarged shape.
- The point "B" is 3 units to the right (aligned with the scale factor).
- The point "F" seems to be the bottom-right corner, which is consistent with the enlargement of the vertical side by 6 units.

Based on this, **point D** appears to correspond to the position of the missing vertex, as it aligns with the bottom-left corner of the enlarged shape.

Would you like more details on the solution or explanation? Here are 5 related questions:

1. How do we calculate the position of a point after an enlargement?
2. What is the importance of the scale factor in geometric transformations?
3. How can we confirm the accuracy of an enlargement on a grid?
4. What would happen if the scale factor were a fraction instead of a whole number?
5. How can we describe the transformation if it included a rotation along with enlargement?

**Tip**: Always compare each dimension of the original shape with its enlarged counterpart using the scale factor to ensure accuracy in positioning.

The shape below is enlarged by a scale factor of 3. Three sides of the enlargement are shown. Which letter marks the position of the missing vertex?

Learn how to solve this geometry enlargement problem with a scale factor of 3, where you must determine the missing vertex of an enlarged shape. This problem involves key geometric concepts such as coordinates and transformations. Suitable for Grades 6-8 students.

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