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Which diagram can be used to prove △ABC ~ △DEC using similarity transformations?

Bethany Evans

in Mathematics

1 answer

1 answer

Theresa Perry on August 4, 2018

Draw two parallel lines AB and DE. Connect a to D and B to E. Label the intersection of the two lines as C. Now, two triangles are formed: the triangle ABC and DEC. You can prove that angle a and angle D are vertical angles and therefore equal. The same can be done for vertical angles E and B. This means that two of the angles of each triangle are the same, what makes them similar triangles.

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