QUESTION IMAGE
Question
if vx = wz = 40 cm and m∠vzx = m∠xwz = 22°, can △vzx and △wxz be proven congruent by sas? why or why not? yes, the triangles are both obtuse. yes, along with the given information, zx ≅ zx by the reflexive property. no, there is not enough information given. no, the sides of the triangles intersect.
Step1: Recall SAS congruence rule
SAS requires two sides and included angle of one triangle equal to corresponding parts of another.
Step2: Identify given parts
△VZX and △WXZ have VX=WZ=40 cm (one side), ∠ZVX=∠XWZ=22° (angle).
Step3: Check included sides
Included sides for the angles: △VZX needs VZ; △WXZ needs WX. VZ=WX not given.
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No, there is not enough information given.