31. Given AABC is congruent to ADEF. Jim describes the transformation of AABC onto ADEF as(x, y)=(x,-y) and then (x, y)=(-x, y). Maria describes it as (x, y)=(-X, -y). Who is correct? Explain.

answer: i believe its b. if you sound out the sentences that sounds wrong.

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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