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Answered

Show that triangles ABC and A'BC', in the figure below, are similar.



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Show That Triangles ABC And ABC In The Figure Below Are Similarpahelp class=

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Answer:

BA is a transversal that intersects the two parallel lines A'C' and AC, hence the corresponding angles BA'C' and BAC are congruent. BC is also a transversal to the two parallel lines A'C' and AC and therefore angles BC'A' and BCA are congruent. These two triangles have two congruent angles are therefore similar and the lengths of their sides are proportional.