Which diagram shows lines that must be parallel lines cut by a transversal?
Which diagram shows lines that must be parallel lines cut by a transversal?
The correct option is D
Finding diagram having parallel lines cut by transversal:
Well, when two parallel lines are cut by a transversal (i.e., get crossed by a third line), then not only do we notice the vertical angles and linear pairs that are subsequently formed, but the following angle pair relationships are created as well:
- Corresponding angles are congruent
- Alternate exterior angles are congruent
- Alternate interior angles are congruent
- Same side interior angles (Consecutive interior angles) sum to degrees
If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal. If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to degrees.
From all the given fig. the option(D) interior angles are supplementary.
Hence, the correct answer is option (D).
Finding diagram having parallel lines cut by transversal:
Well, when two parallel lines are cut by a transversal (i.e., get crossed by a third line), then not only do we notice the vertical angles and linear pairs that are subsequently formed, but the following angle pair relationships are created as well:
- Corresponding angles are congruent
- Alternate exterior angles are congruent
- Alternate interior angles are congruent
- Same side interior angles (Consecutive interior angles) sum to degrees
If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal. If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to degrees.
From all the given fig. the option(D) interior angles are supplementary.
Hence, the correct answer is option (D).
