Question

1 multiple choice 1 point the consecutive exterior angles theorem states, \if two lines intersected by a transversal are parallel, then the consecutive exterior angles are supplementary.\ which of the following statements correctly states the converse of the consecutive exterior angles theorem and judges its val \if consecutive exterior angles are congruent, then the lines intersected by a transversal are not parallel.\ this is not valid. \if consecutive exterior angles are congruent, then the lines intersected by a transversal are not parallel.\ this is valid. \if consecutive exterior angles are supplementary, then the lines intersected by a transversal are parallel.\ this is not valid. \if consecutive exterior angles are supplementary, then the lines intersected by a transversal are parallel.\ this is valid.

Explanation:

The converse of a theorem switches the hypothesis and conclusion. The original theorem has hypothesis "two lines intersected by a transversal are parallel" and conclusion "the consecutive - exterior angles are supplementary". So the converse is "If consecutive exterior angles are supplementary, then the lines intersected by a transversal are parallel", and this is a valid geometric property.

Answer:

" If consecutive exterior angles are supplementary, then the lines intersected by a transversal are parallel." This is valid.