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The problem asks you to describe the transformation that maps triangle **P** onto triangle **Q** by completing the given sentence about the enlargement. We need to find two key details:

1. **Scale Factor of Enlargement**: This tells us how much larger or smaller triangle Q is compared to triangle P.
2. **Centre of Enlargement**: This is the point from which the transformation is applied.

### Step 1: Scale Factor
To find the scale factor, compare the sizes of corresponding sides of triangles P and Q. Both triangles are similar in shape, so we can look at the lengths of corresponding sides. From the grid:
- The height of triangle P is 2 units.
- The height of triangle Q is 4 units.

The scale factor of enlargement is given by the ratio of corresponding sides:
\[
\text{Scale Factor} = \frac{\text{Height of } Q}{\text{Height of } P} = \frac{4}{2} = 2
\]

Thus, the scale factor is **2**.

### Step 2: Centre of Enlargement
The centre of enlargement is the point from which the transformation radiates. To find this, draw straight lines through corresponding points of triangles P and Q and see where they intersect.

Let's try three corresponding points:
- The top point of P at (-2, 1) corresponds to the top point of Q at (2, 4).
- The bottom-left point of P at (-3, 0) corresponds to the bottom-left point of Q at (0, 0).

The lines passing through these points intersect at the point **(0, 0)**. This is the centre of enlargement.

### Final Answer:
The transformation is an **enlargement with a scale factor of 2 and a centre of (0, 0)**.

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Would you like more details or have any questions? Here are some related questions:

1. What is the difference between an enlargement and other types of transformations like translations or rotations?
2. How do you find the centre of enlargement in general situations?
3. What happens if the scale factor is less than 1?
4. Can you have a negative scale factor for enlargement?
5. How would you describe a reflection transformation?

**Tip:** Always double-check that corresponding points line up with the centre of enlargement when describing transformations.

Complete the sentence below to fully describe the transformation that maps triangle P onto triangle Q.

Learn how to describe the transformation mapping triangle P onto triangle Q. This involves calculating the scale factor and determining the center of enlargement using geometric transformations. Suitable for students in Grades 7-9.

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