23
QuizMultiple Choice

Triangle Congruence — Test

Question 23 • 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, there is not enough information given.
C
Yes, the triangles are both obtuse.
D
No, the sides of the triangles intersect.

Explanation

The triangles share side ZX, so ZX is congruent to itself by the reflexive property. The given sides VX and WZ are both 40 cm, and the included angles ∠ZVX and ∠XWZ are both 22°. Thus, the triangles have two corresponding sides and the included angle congruent, which proves them congruent by SAS. The correct choice is “Yes, along with the given information, line segment ZX is congruent to line segment ZX by the reflexive property.”

AI-written and checked against the verified answer.

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