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 judge \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. 2 fill in the blank 1 point a statement is shown all real students come to school to learn. rewrite the previous statement as a conditional statement if you choose your answer... then you choose your answer...

Explanation:

Step1: Recall converse concept

The converse of a conditional statement "if p then q" is "if q then p". The Consecutive - Exterior Angles Theorem is "if two lines intersected by a transversal are parallel, then the consecutive exterior angles are supplementary". So its converse is "if consecutive exterior angles are supplementary, then the lines intersected by a transversal are parallel", and this is a valid theorem.

Step1: Identify hypothesis and conclusion

A conditional statement has the form "if hypothesis then conclusion". For the statement "All real students come to school to learn", the hypothesis is "you are a real student" and the conclusion is "you come to school to learn".

Answer:

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