Investigation 1: Similarity Criteria Proof of SSS Similarity Theorem AB BC AC XY YZ XZ Prove: ABC XYZ Given: Let D be a point on AB such that DB = XY There exists DE such that DE AC ZA ZBDE and ZCZBED ABCDBE AB=BC=AC BE AB=BC=AC DE AB=BC=AC Пр 7 XZ ВС BEC and 4 = 4 and AB > XY BC YZ = BC BE and AC XZ = AC DE YZ = BE and XZ = DE D Given a line and a point not on the line, there is exactly one line that passes through the point and is parallel to the given line. c SSS~ AA~ Cross multiplication/multiplication property SSS Note: There is 1 extra tile that does not belong in the proof Arrange the tiles in the correct order to complete the proof. Corresponding angle theorem Division property Corresponding sides of similar triangles are proportional Transitive Property
Investigation 1: Similarity Criteria Proof of SSS Similarity Theorem AB BC AC XY YZ XZ Prove: ABC XYZ Given: Let D be a point on AB such that DB = XY There exists DE such that DE AC ZA ZBDE and ZCZBED ABCDBE AB=BC=AC BE AB=BC=AC DE AB=BC=AC Пр 7 XZ ВС BEC and 4 = 4 and AB > XY BC YZ = BC BE and AC XZ = AC DE YZ = BE and XZ = DE D Given a line and a point not on the line, there is exactly one line that passes through the point and is parallel to the given line. c SSS~ AA~ Cross multiplication/multiplication property SSS Note: There is 1 extra tile that does not belong in the proof Arrange the tiles in the correct order to complete the proof. Corresponding angle theorem Division property Corresponding sides of similar triangles are proportional Transitive Property
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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