““Transversals and Transversals and Parallel Lines”Parallel Lines”

• In the figure at the left, LIn the figure at the left, L1,1,LL22 and L and L33 intercept segments intercept segments

on the transversal.on the transversal.

For us to be able to understand more about our topic, we must first be familiar with some

theorems and postulates related to

transversals and parallels.......

Theorem4.41Theorem4.41

• If three parallel lines intercept If three parallel lines intercept congruent segments on congruent segments on transversal transversal t, t, then they will then they will intercept congruent segments intercept congruent segments on every transversal parallel to on every transversal parallel to t.t.

Theorem 4.42• If three parallel lines

intercept congruent segments on transversal t, then they will intercept congruent segments on any other transversal.

Postulate 21

• The shortest path joining two points is a segment.

Postulate 22

• The shortest segment joining a point and a line is the segment perpendicular to the line.

Theorem 4.43

• Parallel lines are Parallel lines are equidistant at all equidistant at all points.points.

That’s all.....That’s all.....

• Basic theorems are now covered for your Basic theorems are now covered for your comprehension...Hope you learned comprehension...Hope you learned something! something!