Parrallel line and Skew Lines Lines that are

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Parrallel line and Skew Lines: Lines that are equidistant from each other. y=(1/2)x+5 2

Parrallel line and Skew Lines: Lines that are equidistant from each other. y=(1/2)x+5 2 y=x +10 Skew lines two lines that are not coplanar to each other.

Transversal A line that crosses a pair of parallel lines.

Transversal A line that crosses a pair of parallel lines.

Alternate Interior and Exterior angles A. Interior and Exterior two congruent angles in two

Alternate Interior and Exterior angles A. Interior and Exterior two congruent angles in two different parts of the line.

Consecutive angles Two angles on the same side of the transversal and between the

Consecutive angles Two angles on the same side of the transversal and between the two parallel lines.

Corresponding angles postulate and converse Two parallel lines cut buy the transversal forming corresponding

Corresponding angles postulate and converse Two parallel lines cut buy the transversal forming corresponding and congruent angles. Converse: If Two lines cut buy the transversal forming corresponding and congruent angles if then they are parallel. 1 4 2 Lines are parallel, cut by transversal, angle 1 is congruent to angle 2 5 Lines, cut by transversal, angle 4 is congruent to angle 5, therefore they are parallel

Alternate interior angles theorem and converse If two parallel lines are cut by a

Alternate interior angles theorem and converse If two parallel lines are cut by a transvesal, then the pairs of alternate interior angles must be congruent

Same side interior theorem and converse If a transversal intersects two parallel lines, then

Same side interior theorem and converse If a transversal intersects two parallel lines, then same -side interior angles have to be supplementary

Alternate exterior theorem and converse If two parallel lines are cut by a transversal,

Alternate exterior theorem and converse If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles have to be congruent.

Perpendicular transversal theorems A transversal is perpendicular to one of two parallel lines, then

Perpendicular transversal theorems A transversal is perpendicular to one of two parallel lines, then it´s perpendicular to the second.

Transitive property applied to parallel and perpendicular lines

Transitive property applied to parallel and perpendicular lines

How to find slope M=(Y 2 -Y 1)/(X 2 -X 1) If two points

How to find slope M=(Y 2 -Y 1)/(X 2 -X 1) If two points are given, P (X 1, Y 1) and Q (X 2, Y 2) , the slope of the line that goes through the two points is given by the formula M=(Y 2 -Y 1)/(X 2 -X 1)

Line slope intercept form

Line slope intercept form

_____(0 -10 pts) Describe parallel lines and parallel planes. Include a discussion of skew

_____(0 -10 pts) Describe parallel lines and parallel planes. Include a discussion of skew lines. Give at least 3 examples. _____(0 -10 pts) Describe what a transversal is. Give at least 3 examples. _____(0 -10 pts) Describe the following angles: Corresponding, alternate exterior, alternate interior and consecutive interior angles. Give an example of _____(0 -10 pts) Describe the corresponding angles postulate and converse. Give at least 3 examples of each. _____(0 -10 pts) Describe the alternate interior angles theorem and converse. Give at least 3 examples of each. _____(0 -10 pts) Describe the Same Side interior angles theorem and converse. Give at least 3 examples of each. _____(0 -10 pts) Describe the alternate exterior angles theorem and converse. Give at least 3 examples of each. _____(0 -10 pts) Describe the perpendicular transversal theorems. Give at least 3 examples. _____(0 -10 pts) Describe how the transitive property also applies to parallel and perpendicular lines. Include a discussion about the perpendicular line theorems. Give at least 2 examples of each. _____(0 -10 pts) Describe how to find the slope of a line. How is slope related to parallel and perpendicular lines. Give at least 3 examples of each. _____(0 -10 pts) Describe how to write an equation of a line in slope/intercept form, and in Point/Slope form. Explain when you would want to use each a line. Give at least 3 examples of each. _____(0 -5 pts) Neatness and originality bonus _____Total points earned

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