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Eyanah2082
24.01.2020 •
Mathematics
Use the diagram and given information to answer the questions and prove the statement.
given: ∠x ≅ ∠z
("xy" ) ̅ ≅ ("zy" ) ̅
prove: ("az" ) ̅ ≅ ("bx" ) ̅
a) re-draw the diagram of the overlapping triangles so that the two triangles are separated
b) what additional information would be necessary to prove that the two triangles, xby and zay, are congruent? what congruency theorem would be applied?
c) prove ("az" ) ̅ ≅ ("bx" ) ̅ using a flow chart proof
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Ответ:
part a) draw two triangles, translating one of them to the right.
part b) Consider triangles ΔYXB and ΔYZA. In these triangles:
∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);∠YXB≅∠YZA (given);XY≅ZY (given).Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.
ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
part c) flow chart proof:
Ответ:
I'm not good at math either sorry I do not know answer
Step-by-step explanation:
I need answer to this one to