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Which can be used to prove that lines are parallel? 1.Vertical Angle Theorem 2.Alternate Interior Angles Theorem 3.Converse of Corresponding Angles Postulate 4.Converse of Same-Side Interior Angles Theorem

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Answer:

4. Converse of Corresponding Angles Postulate

Step-by-step explanation:

There are several theorems to prove line relationships in plane geometry.

The proof of parallel lines is done by

  • (3) Converse of Corresponding Angles Postulate
  • (4) Converse of Same-Side Interior Angles Theorem

To prove that lines are parallel, we make use of the concept of line transversal.

The vertical angle theorem is based on two lines intersecting at a point

The alternate interior angle theorem is used to determine the congruence of angles in a transversal of parallel lines

The converse of corresponding angles postulate, and the converse of same-side interior angles theorem are used to determine if lines are parallel based on the angles on the transversal.

Hence, the true options are (3) and (4)

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