Showing posts with label Parallel Lines. Show all posts
Showing posts with label Parallel Lines. Show all posts
Sunday, August 22, 2010
The Parallel Postulate
If a straight line crossing two straight lines makes the alternate angles equal to one another, the straight lines will be parallel to one another. Euclid's Fifth Postulate
Here is the construction
Given a line and a point, construct a line through the point, parallel to the given line.
Theorem:
In a plane, two lines parallel to a third line are parallel to each other.:DO
Set 1, #1-17
Perpendicular Lines
Theorems:
The book shows some constructions -- look at these similar ones online:
ThatQuiz
Do;
Set 1, #1-3, 12-18
In a plane, through a point on a line there is exactly one line perpendicular to the line
Through a point not on a line, there is exactly one line perpendicular to the line.
The book shows some constructions -- look at these similar ones online:
- Given point P on line k, construct a line through P, perpendicular to k.
- Given point R, not on line k, construct a line through R, perpendicular to k.
ThatQuiz
Do;
Set 1, #1-3, 12-18
Proving Lines Parallel
Definition of a Parallel:
Look AT: a page that explains some of the parallel theorems and corollaries
Try a Thatquiz on Angles
DO:
Set 1, #1-23
Two lines are parallel iff they lie in the same plane and do not intersect
Look AT: a page that explains some of the parallel theorems and corollaries
Try a Thatquiz on Angles
DO:
Set 1, #1-23
Subscribe to:
Posts (Atom)