Transcription of 7.3 Showing Triangles are Similar: AA
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7.3 Showing Triangles are Similar: AA
372 Chapter 7 SimilarityGoalShow that two trianglesare similar using the AASimilarity Words similar polygons p. Triangles are similar : AAAngle-Angle Similarity Postulate (AA)WordsIf two angles of one triangleare congruent to two angles of another triangle, then the two Triangles are aKc aYand aJc aX, then TJKLS 15 KLJYXZ 1 Use a protractor to draw atriangle that has a 408angle and a 608angle. Label the triangle TABC. 2 Use a protractor to draw a larger triangle that has a 408and a 608angle. Label this triangle TDEF. 3 Use a protractor to measure the third angle of each triangle. It should measure 808. Does it? 4 Use a ruler to measure the lengths of the sides of both Triangles . Record your results. 5 Are the Triangles similar ? Explain your and similar TrianglesGeo-Activity0180180010170201603 0150401405013060120701108010090100801107 0120601305030140401701016020150123456 DFEACB408608 DFEACB408608 This postulate allows you to say that two Triangles are similar if youknow that two pairs of angles are congruent.
angle of another right triangle, then the triangles are similar. 28. Some equilateral triangles are not similar. 29. All isosceles triangles with a 40 8 vertex angle are similar. 24 10 12 p 15 10 14 x 15 10 16 a 24 32 18 y 44 55 z 45 p 16 7 8 P P R M N L 20 15 12 y E B A D C M P N 40 8 L P 45 8 U V W S T 67 8 67 8 376 Chapter 7 Similarity ...
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