How do you prove two lines are parallel that are cut by a transversal?
Table of Contents
- 1 How do you prove two lines are parallel that are cut by a transversal?
- 2 When two parallel lines are intersected by a transversal then dash angle are formed?
- 3 Which theorem states that if two parallel lines cut by a transversal interior angles on the same side are supplementary?
- 4 When 2 parallel lines are intersected by a transversal then if measure of an angle in a pair of interior angles on one side is 50 then the measure of second angle is *?
- 5 When 2 parallel lines are intersected by a transversal angles are supplementary?
- 6 When two lines are intersected by a transversal how many pairs of interior angles are formed?
How do you prove two lines are parallel that are cut by a transversal?
If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.
When two parallel straight lines intersected by a transversal prove that alternate angles are equal?
Thus, if two parallel lines are intersected by a transversal, then bisectors of the interior angles form a rectangle. . When two lines are crossed by another line which is called as the transversal the alternate interior angles are equal.
When two parallel lines are intersected by a transversal then dash angle are formed?
alternate interior angles
If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
What are the properties of parallel lines cut by a transversal?
What are the Properties of Parallel Lines Cut by a Transversal?
- The pairs of corresponding angles are equal.
- The pairs of vertically opposite angles are equal.
- The pairs of alternate interior angles are equal.
- The pairs of alternate exterior angles are equal.
Which theorem states that if two parallel lines cut by a transversal interior angles on the same side are supplementary?
Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles….Geometry.
| Statements | Reasons | |
|---|---|---|
| 3. | ?1 and?3 are alternate interior angles | Definition of alternate interior angles |
When two parallel lines are intersected by a transversal the number of pairs of co interior angles on the same side of a transversal is?
When two parallel lines are intersected by a transversal, 8 angles are formed. The same side interior angles are the pair of non-adjacent interior angles that lie on the same side of the transversal.
When 2 parallel lines are intersected by a transversal then if measure of an angle in a pair of interior angles on one side is 50 then the measure of second angle is *?
So, We know that if two parallel lines are intersect by transversal than alternate interior angles will always be equal. So, here one of the interior angle is than other angle will also . Therefore, option (C) is correct.
What happens when two parallel lines are intersected by a transversal?
If two parallel lines are cut by a transversal, then, Alternate Exterior Angles are congruent. If two parallel lines are cut by a transversal, then corresponding angles are congruent.
When 2 parallel lines are intersected by a transversal angles are supplementary?
Two lines are parallel if and only if the two angles of any pair of consecutive interior angles of any transversal are supplementary (sum to 180°).
Which of the following statements is false when 2 parallel lines are cut by a transversal?
According to transversal theorem if two parallel lines are intersected by another transversal line then the alternate interior angles formed are congruent or we can say equal to each other. Hence, If two parallel lines are cut by transversal, then a pair of alternate interior angles not equal is false.
When two lines are intersected by a transversal how many pairs of interior angles are formed?
Solution: If two parallel lines are intersected by a transversal, then 2 pair of alternate interior angles are formed.