Triangle ABC has vertices A = (1,5), B = (3, 2) and C = (4, 7). Triangle A'B'C' is formed when Triangle ABC is shifted left by 3 and down by 1. Which statement is true? Select all that apply Choose all that apply: The perimeter of Triangle ABC and Triangle A'B'C' are the Neither of the answers apply The angles of Triangle ABC and Triangle A B C are the same,

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer: the answer is 110

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