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Mathematics
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http://gyazo.com/45db5359c262512d154d6cf9563141e9
@UnkleRhaukus please help if you can (:
Looks like you have 2 different questions! For question #1: a hint is that the ratio of corresponding sides will be equal for similar triangles. For question #2, a hint is that the length of the remaining side needs to be taken with the compass and then an intersecting arc needs to be drawn.

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So would 1 be a and 2 be C
Taking one at a time, for question #1, to help you get the answer, the corresponding sides are: c with r, a with p, and b with q. You end up rotating the second triangle counter-clockwise about 100-120 degrees so that the angles line up. Look at the diagram and see that before going on. Now, you can practically overlay one on top of the other and see the correspondence. And even if you can't see this, then just go with what I said was the corresponding sides. Now, try all 4 of the ratios to see which one represents ratios of corresponding sides.
Ah okay so rotating it lines up c and r. a and p. and q and b but only one has the answer. C
Excellent! BTW, you got the second question right also! Good work!
Thank you very much!
you are quite welcome!

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