Are there shortcut postulates or theorems for similarity?

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Presentation transcript:

Are there shortcut postulates or theorems for similarity? 7-2A Similar Triangles Are there shortcut postulates or theorems for similarity?

Checking Up Draw two triangles of different sizes with two pairs of corresponding angles congruent. Are the remaining angles congruent? Are the side lengths proportional?

AA Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. ~

Give a similarity correspondence. Explain why the triangles are similar. Z V W Y X A B C D E ∆ABE ~ ∆CBD AA ∆ZVY ~ ∆ZWX AA

Give the similarity correspondence. Solve for x B C D E 4 2 9.1 x ∆ACB ~ ∆ECD

Are there shortcut postulates or theorems for similarity? Yes, Angle-Angle (AA)

Assignment 7-2A Page 488, 1-9, 20-26