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Lucy, who is educated at home, sent in a very clear solution to this question. For the first part she wrote:
You move the top peg to the right by one space. If you cut a square from all four corners, you end up with a quarter of it. In the middle of the square you get four right angles.
I think there is at least one other way to get a right-angled triangle. Can you see how?
For the second problem you know that the new shape is going to have sides $4 \times 8$ because the sides are multiplied by $2$. One of the sides is already $4$ so you just move the two right pegs $6$ spaces to the right.
Very well described solutions Lucy, thank you.Matthew from Beechwood Park School wrote: