Question

Name the postulate or theorem you can use to prove SUR=TVR

1) SSS Postulate
2) AAS Theorem
3) ASA Postulate
4) SAS Postulate

Answer 1

the only one it could be is SAS because that is what SUR and TVR give. 

Answer 2

SAS

Explanation:

Given is an isosceles trapezium with top base as ST and Bottomg base as UV

The non parallel sides SU and TV are equal

Since in an isosceles trapezium the non parallel angles are equal, we have

angle SUV = angle TVU

Consider the two triangles SUV and TUV

UV = UV Reflection property

SU = TV Isosceles trapezium

Angle SUV = TVU -do-

By SAS the two triangles are congruent

So answer is SAS