Transitive property of congruence, transitive property of equality, vertical angle theorem. ZVUX and ZUXY are supplementary. Complete the proof that TVI WY.WStatementReasonZVUX and ZUXY are supplementaryDefinition of supplementary anglesGiven2MZVUX + M2UXY = 180°Reflexive Property of CongruenceReflexive Property of EqualitySubstitution3MZSUV + M2VUX = 180°MZVUX + M2UXY = mZSUV + MZVUXM2UXY = M2SUVTVIWY ZVUX and 2UXY are supplementary. Complete the proof that TV | WY.WStatementReason1ZVUX and LUXY are supplementaryAlgebraAngles forming a linear pair sum to 180°Converse of Corresponding Angles TheoremCorresponding Angles TheoremDefinition of congruenceMZVUX + M2UXY = 180°3M2SUV + MZVUX = 180°4MZVUX + M2UXY = MZSUV + M2VUXM2UXY = mZSUVTV | WY2.

ZVUX and 2UXY are supplementary. Complete the proof that TV | WY. W Statement Reason ZVUX and LUXY are supplementary Definition of supplementary angles Given MZVUX + M2UXY = 180° Reflexive Property of Congruence Reflexive Property of Equality Substitution M2SUV + MZVUX = 180° 4 MZVUX + M2UXY = mZSUV + MZVUX MZUXY = mZSUV TV || WY N. 1,

ZVUX and 2UXY are supplementary. Complete the proof that TV | WY. W Statement Reason ZVUX and LUXY are supplementary Definition of supplementary angles Given MZVUX + M2UXY = 180° Reflexive Property of Congruence Reflexive Property of Equality Substitution M2SUV + MZVUX = 180° 4 MZVUX + M2UXY = mZSUV + MZVUX MZUXY = mZSUV TV || WY N. 1,

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.3: Proving Triangles Similar

Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...

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