Given: RW ≅ WT; UW ≅ WS Prove: RSTU is a parallelogram. Quadrilateral R S T U is shown. Diagonals are drawn from point S to point U and from point R to point T and intersect at point W. The lengths of S W and W U are congruent. The lengths of R W and W R are congruent. Identify the steps that complete the proof. ♣ = ♦ = ♠ =

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danicashirley2u danicashirley2u · Answer 1 · 2021-02-17T04:11:41+01:00

Answer:

♣ = ✔ vertical angles theorem

♦ = ✔ SAS

♠ = ✔ CPCTC

Step-by-step explanation:

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AFOKE88 AFOKE88 · Answer 2 · 2022-03-02T12:26:35+01:00

The steps that complete the two column proof are;

Vertical angles theorem, SAS Congruency postulate and CPCTC

In the given parallelogram, we are told that RW ≅ WT; UW ≅ WS.

Now, from the given triangle attached we can say that;

∠SWR ≅ ∠UWT because of vertical angles theorem

Secondly, we can say that since ∠SWT ≅ ∠UWR by vertical angles theorem, then we can say that ΔSWR ≅ ΔUWT by SAS Congruency.

Lastly, since ΔSWT ≅ ΔUWR by SAS congruency rule then we can say that ∠WRS ≅ ∠WTU by CPCTC

Read more about Congruent triangles at; https://brainly.com/question/9635497