Which of the following guarantees that two lines cut by a transversal are parallel? *
A) Corresponding angles are supplementary.
B) Alternate interior angles form a linear pair.
C) Same side exterior angles are congruent.
D) Alternate interior angles are congruent.
A) Corresponding angles are supplementary.
B) Alternate interior angles form a linear pair.
C) Same side exterior angles are congruent.
D) Alternate interior angles are congruent.
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Question:
Which of the following guarantees that two lines cut by a transversal are parallel?
A) Corresponding angles are supplementary.
B) Alternate interior angles form a linear pair.
C) Same side exterior angles are congruent.
D) Alternate interior angles are congruent.
Answer:
D) Alternate interior angles are congruent.
Proof:
Let's check the correct or TRUE properties of two parallel lines cut by a transversal (based on the given choices above):
A) Corresponding angles are congruent and not supplementary.
therefore choice A is wrong!
B) Alternate interior angles are NOT linear pair but are congruent.
therefore choice B is wrong!
C) Same side exterior angles are supplementary and not congruent.
therefore choice C is wrong!
D) Alternate interior angles are congruent.
This is true, therefore choice D is the correct answer.
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D) Alternate interior angles are congruent.