13
QuizMultiple Choice

Triangle Congruence: SAS — Quiz

Question 13 • Geometry

If VX is equal to WZ is equal to 40 cm and m angle ZVX is equal to m angle XWZ is equal to 22 degrees , can triangle VZX and triangle WXZ be proven congruent by SAS? Why or why not?

Answer
A
Yes, along with the given information, line segment ZX is congruent to line segment ZX by the reflexive property.
B
No, the sides of the triangles intersect.
C
Yes, the triangles are both obtuse.
D
No, there is not enough information given.

Explanation

The given equal sides are VX and WZ, and the shared side is ZX. But the equal angles, ZVX and XWZ, are not the included angles between those side pairs: ZVX lies between VZ and VX, while XWZ lies between WX and WZ. So the information does not establish SAS congruence; there is not enough information given.

AI-written and checked against the verified answer.

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