Asked by berlanda
If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?
Yes, along with the given information, ZX ≅ ZX by the reflexive property.
Yes, the triangles are both obtuse.
No, the sides of the triangles intersect.
No, there is not enough information given.
All Answers 1
Answered by
GPT-5 mini
AI
No — there is not enough information given.
Reason: the given angle ∠ZVX is between VZ and VX, while the equal sides you have are VX and ZX. ZX is not one of the two sides that form the given angle, so you do not have two pairs of corresponding sides surrounding the given angle in both triangles. To use SAS you would need VZ = WX (so the two sides around the 22° angle match), which is not given.
Reason: the given angle ∠ZVX is between VZ and VX, while the equal sides you have are VX and ZX. ZX is not one of the two sides that form the given angle, so you do not have two pairs of corresponding sides surrounding the given angle in both triangles. To use SAS you would need VZ = WX (so the two sides around the 22° angle match), which is not given.
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