Prove that if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (state which similarity criterion this represents and set up the proportion for △ABC ∼ △DEF).

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TextAA Similarity Criterion for Triangles

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If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.

TextBasic Proportionality Theorem (Thales Theorem)AA Similarity Criterion for Triangles

If a line drawn parallel to one side of triangle intersecting the other two sides in distinct points divides the two sides in the same ratio, then it is parallel to third side. State and prove the converse of the above statement.

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