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Name the postulate or theorem you can use to prove

SSS Postulate

ASA Postulate

AAS Theorem

SAS Postulate

Name the postulate or theorem you can use to prove SSS Postulate ASA Postulate AAS Theorem SAS Postulate class=

Respuesta :

5naka

AAS

A for <SUR and <TVR

A for <SRU and <TRV

S for SU and TV

JeanaShupp

Answer: AAS Theorem

Step-by-step explanation:

In the given figure , we have

[tex]\triangle{STU}\cong\triangle{TSV}[/tex]

By CPCTC [Congruent parts of congruent triangles are congruent], we have

[tex]\angle{SUR}\cong\angle{TVR}[/tex]                  (1)

[tex]\overline{SU}\cong\overline{TV}[/tex]              (2)

Now in [tex]\triangle{SUR}\text{ and }\triangle{TVR}[/tex], we have

[tex]\angle{SUR}\cong\angle{TVR}[/tex]                      (From 1)

[tex]\overline{SU}\cong\overline{TV}[/tex]                   (From 2)

[tex]\angle{SRU}\cong\angle{TRV}[/tex]                     (Vertical angles)  

Therefore by AAS theorem of congruence , we have

   

[tex]\triangle{SUR}\cong\triangle{TVR}[/tex]

  • AAS theorem of congruence says that if two angles and a non-included side of a triangle are congruent to the corresponding parts of other triangle then the triangles are said to be congruent.

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