If two lines are cut by a transversal so that a pair of consecutive interior angles (same side interior angles) are congruent, then the lines are parallel.
Question
Solution 1
This statement is actually false. If two lines are cut by a transversal so that a pair of consecutive interior angles are congruent, then the lines are not necessarily parallel.
Here's why:
- When two lines are cut by a transversal, it forms eight angles. Among these, there are two pairs of cons Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel.
If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, which is the bigger of the two angles ?
A transversal intersects two parallel lines. Prove that the bisectors of any pair ofcorresponding angles so formed are parallel.Fig. 6.1616/04/1816/04/18
Two coplanar lines are cut by a transversal. Which condition does NOT guarantee that the two lines are parallel?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.