Decide whether there is enough information to prove that AWXZ AYZX using the SAS Congruence Theorem. Explain your reasoning. 司

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
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Decide whether there is enough information to prove that triangle WXZ is congruent to triangle YZX using the SAS congruence Theorem. Explain your reasoning.
Decide whether there is enough information to prove that AWXZ=AYZX using the SAS Congruence Theorem. Explain your
reasoning.
Transcribed Image Text:Decide whether there is enough information to prove that AWXZ=AYZX using the SAS Congruence Theorem. Explain your reasoning.
yes; Because ZW XY , WZY , and WX YZ , the two triangles are congruent by the SAS Congruence
Theorem.
yes; Because ZW XY, WZY, and ZX = XZ , the two triangles are congruent by the SAS Congruence
Theorem.
no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent
sides.
no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included
angles.
Transcribed Image Text:yes; Because ZW XY , WZY , and WX YZ , the two triangles are congruent by the SAS Congruence Theorem. yes; Because ZW XY, WZY, and ZX = XZ , the two triangles are congruent by the SAS Congruence Theorem. no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides. no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.
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