Q.

Choose the correct statement according to the corresponding angle converse theorem.

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a

If two lines intersect, the vertically opposite angles are equal.

b

 If two lines and a transversal form congruent corresponding angles, the lines are parallel.

c

If two lines and a transversal form congruent alternate interior angles, the lines are parallel.

d

If transversal cuts two parallel lines, the corresponding angles are congruent.

answer is A.

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Detailed Solution

solution

According to the corresponding angle theorem, corresponding angles are congruent if the transversal intersects two parallel lines. In other words, when a transversal intersects two parallel lines, the angles formed are always equal.

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Choose the correct statement according to the corresponding angle converse theorem.