How can you show that two triangles

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Presentation transcript:

How can you show that two triangles are similar?

Triangle Similarity. Two triangles are similar if two pairs of corresponding angles are congruent. In other words, you do not need to know the Measures of the sides or the third pair of angles.

A A 52 E B 52 D C

In each triangle all three Angles measure 60 deg., So by the AA Similarity Postulate the triangles Are similar. Since m< CDF = 58 by the Triangle Sum Theorem and M< DFE = 90 by the Linear Pair Postulate the two triangles Are similar by the AA Similarity Postulate.

You have two pairs of congruent angles, so the Triangles are similar by the AA similarity postulate

Homework: Practice Workbook 6.4 p112: 1 – 17 all, 23 - 25