Question

Which statements regarding the diagram are correct? Check all that apply. ST ≅ ST by the reflexive property. ∠RWS ≅ ∠UWT because they are vertical angles. △RWS ≅ △UWT by AAS. △RST ≅ △UST by SAS. ∠WTU ≅ ∠WSR because CPCTC.

ANSWER: ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
∠WTU ≅ ∠WSR because CPCTC.

Answer 1

Answer:

A., B., C., and E.

Step-by-step explanation:

edge 2021

Answer 2

The correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

Given the image attached below, let's analyze each of the options given to determine whether they are correct or not.

Statement 1 is correct because based on reflexive property, ST in ΔRST is congruent to ST in ΔUTS.

Statement 2 is also correct because ∠RWS is vertically opposite to ∠UWT, so they are vertical angles.

Statement 3 is also correct because ΔRWS and ΔUWT have two pairs of congruent angles (∠SRW ≅ ∠TUW and ∠RWS ≅ ∠UWT) and one pair of non-included congruent sides (SR ≅ TU).

Statement 4 is incorrect because ΔRST and ΔUST do not have a pair of included congruent angles to meet the SAS Congruence Criterion.

Statement 5 is correct because since ΔRWS ≅ ΔUWT, ∠WTU ≅ ∠WSR based on the CPCTC theorem.

• Therefore, the correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

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