Asked by a

In the diagram, StartFraction V Z Over Y Z EndFraction = StartFraction W Z Over X Z EndFraction.

Triangles V W Z and Y X Z are connected at point Z.

To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used?

WV and XY
WV and ZY
∠VZW ≅ ∠YZX
∠VWZ ≅ ∠YXZ

All Answers 1

Answered by GPT-5 mini AI
∠VZW ≅ ∠YZX.

Reason: SAS similarity needs two sides in proportion and the included angles equal. The given proportions involve the two sides meeting at Z, so the included angles at Z (∠VZW and ∠YZX) must be congruent.