7.4 Similarity in Right Triangles 2011.pdf

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7.4 Similarity in Right Triangles 2011.pdf

7.4 Similarity in Right Triangles 2011January 19, 20117.4 Similarity in Right TrianglesObjective: Find and use relationships in similar right triangles.Feb 11­7:46 AM1


7.4 Similarity in Right Triangles 2011January 19, 2011WarmupName the three right triangles in the figure below.CADBFeb 11­8:03 AM2


7.4 Similarity in Right Triangles 2011January 19, 2011Similarity in Right TrianglesCCCCAAADDDBBBFeb 11­8:14 AM3


7.4 Similarity in Right Triangles 2011January 19, 2011Appropriately label each side of the three similar triangles. Then givethe similarity statement.CbhasB A BDcrBCCACDADFeb 11­8:54 AM4


7.4 Similarity in Right Triangles 2011January 19, 2011Write the proportionality statements for each set of similar triangles.bsharacarbhbhsShort leg & Hypotenuse Long leg & Hypotenuse Long leg & Short legLarge to MediumLarge to SmallMedium to SmallFeb 11­11:51 AM5


7.4 Similarity in Right Triangles 2011January 19, 2011Example #1Feb 12­8:19 AM6


7.4 Similarity in Right Triangles 2011January 19, 2011Example #2Feb 12­8:30 AM7


7.4 Similarity in Right Triangles 2011January 19, 2011Example #3a. A service station will be built on the highway, and a roadwill connect it with Cray. How far from Blare should theservice station be located so that the proposed road will beperpendicular to the highway?b.How long will the new road be?Feb 13­4:15 PM8


7.4 Similarity in Right Triangles 2011January 19, 2011New Vocabulary: Geometric Meana xThe geometric mean of a and b is the positive number x such that x = .bFind the geometric mean of:4 and 9:3 and 18:5 and 9:Feb 12­8:37 AM9


7.4 Similarity in Right Triangles 2011January 19, 2011Homeworkp. 394# 1 ­ 7 odd, 9 ­ 20,22, 34 ­ 36Feb 13­4:35 PM10

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