Respuesta :

Answer:

see below

Step-by-step explanation:

oh my gosh im in this unit at school

one of the ways to prove parrallogram, is to prove that the opposide sides are congruent

in a proof (at my school) you would use: "opp sides congruent --> //gram"

they give you that the two triangles are congruent

you can then say ST congruent to WR by CPCTC (corresponding parts congruent triangles congruent)

same with SR congruent to WT

once you have the two opposite sides that are congruent, you can use opp sides congruent --> //gram to prove RSTW is //gram

proof would look something like:

1 given triangle TRS congruent triangle RTW (ref given, given)

2 ST congruent WR (ref 1, CPCTC)

3 SR congruent WT (ref 1, CPCTC)

4 RSTW is //gram (ref 2,3,F, opp sides congruent --> //gram)

hope this helps !!

From the 3 statements given about the quadrilateral RSTW, It has been proved that it is; A Parallelogram

How to give proof of quadrilaterals?

1) We are given that;

ΔTRS ≅ ΔRTW

2) Since ΔTRS is congruent to ΔRTW , then we can say that;

ST ≅ WR due to the fact that corresponding parts of congruent triangles are congruent (CPCTC)

3) From statement 2 above, we can also say that;

SR ≅ WT (CPCTC)

4) From the 3 statements above, we can conclude that;

RSTW is a parallelogram.

Read more about Quadrilaterals at; https://brainly.com/question/5715879

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