Question

To prove that ULV = KLY, which of the following statements could be used in the proof?

a) Corresponding Angles Postulate
b) Alternate Interior Angles Theorem
c) Angle Addition Postulate
d) Vertical Angles Theorem

Answer 1

Without additional context, the Vertical Angles Theorem is the most universally applicable theorem for proving angle congruency, assuming that the angles ULV and KLY are vertical angles.

Step-by-step explanation:

To prove that angles ULV and KLY are congruent, it would be useful to know more about their positions relative to each other. However, here are the explanations for the given options:

• Corresponding Angles Postulate: This postulate states that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.
• Alternate Interior Angles Theorem: This theorem says that when two parallel lines are cut by a transversal, alternate interior angles are congruent.
• Angle Addition Postulate: This postulate states that if a point lies inside an angle, the measures of the two angles formed add up to the measure of the original angle.
• Vertical Angles Theorem: This theorem indicates that vertical angles, which are the angles opposite each other when two lines cross, are congruent.

Without additional information about the relationship between angles ULV and KLY, the most generally applicable theorem would be the Vertical Angles Theorem, assuming they are vertical angles.