Question

quadrilateral r y w v is shown, where r w is a perpendicular bisector of v y and where δ v r s ≅ δ y r s. complete the congruence statements. ∠ s v r ≅
y s ≅
r s ≅

Explanation:

Step1: Use congruent triangle properties

Since \(\triangle VRS\cong\triangle YRS\) (given), by the property of congruent triangles, corresponding parts are equal.
For \(RS\), it is a common side in the congruent triangles \(\triangle VRS\) and \(\triangle YRS\), so \(RS = RS\) (reflexive property, but also as a result of congruence, corresponding sides are equal).
For \(YS\), because \(\triangle VRS\cong\triangle YRS\), the side \(VS\) corresponds to \(YS\), so \(VS=YS\).
For \(\angle SVR\), since \(\triangle VRS\cong\triangle YRS\), the angle \(\angle SVR\) corresponds to \(\angle SYR\), so \(\angle SVR=\angle SYR\).

Answer:

\(RS = RS\), \(VS = YS\), \(\angle SVR=\angle SYR\)