Question

Name the postulate or theorem you can use to prove

Answer 1

Answer: AAS Theorem

Step-by-step explanation:

In the given figure , we have

$\triangle{STU}\cong\triangle{TSV}$

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

$\angle{SUR}\cong\angle{TVR}$                  (1)

$\overline{SU}\cong\overline{TV}$              (2)

Now in $\triangle{SUR}\text{ and }\triangle{TVR}$, we have

$\angle{SUR}\cong\angle{TVR}$                      (From 1)

$\overline{SU}\cong\overline{TV}$                   (From 2)

$\angle{SRU}\cong\angle{TRV}$                     (Vertical angles)  

Therefore by AAS theorem of congruence , we have

   

$\triangle{SUR}\cong\triangle{TVR}$

• 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.

Answer 2

AAS

A for <SUR and <TVR

A for <SRU and <TRV

S for SU and TV