math ii 7.5 parallel lines and transversals. activity look at your assignment
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Math II 7.5Parallel Lines and Transversals
ActivityLook at your assignment.
Activityuse a straight edge to draw a line that cuts through the first
pair of lines.
ActivityYou have made 8 angles!
ActivityUse your protractor to
measure and record the size of each angle.
ActivityRepeat this process with the Second set of parallel lines on
your worksheet
ActivityWith the 3rd set of lines
Start by drawing a line through them.
But this time we won’t use your protractor.
ActivityPick a symbol. # θ ♥ ☺♥ ♥ ♫
Any symbol you likeIt must be school appropriate!
ActivityDraw that symbol in one of the
angles.Now draw it in any other angle
that would have the same measure.
ActivityPick a different symbol.
$ & Any symbol you like
It must be school appropriate!
ActivityDraw that symbol in one of the
angles that does not have a symbol.
Now draw it in any other angle that would have the same
measure.
ActivityDo you notice any patterns?
Do you think this will always work?
So your last picture...
should look something like this...
1 2
3 4
5 6
7 8
TransversalThe line you drew has a
special name…It is a transversal.
Lines cut by a transversal may or may not be parallel.
98 percent of what we do in Math with transversals will involve parallel Lines
You will know they are parallel because they will tell you, or they will draw an extra arrow on the lines
Transversals can intersect any number of lines.
When a transversal intersects a line, four angles are formed
1 2
3 4
angles across from each other are called Vertical Angles.
1 2
3 4
∠1 and ∠4 are a pair of vertical angles∠2 and ∠3 are a pair of vertical angles
Based on your discoveries: What can you say about vertical angles?
1 2
3 4
When a transversal intersects two lines, eight angles are formed
1 2
3 4
5 6
7 8
These are called interior angles
3 4
5 6
These are called exterior Angles
1 2
7 8
Corresponding angles are angles in similar locations
1 2
3 4
5 6
7 8
Based on your discoveries: What can you say about corresponding angles?
1 2
3 4
5 6
7 8
Alternate interior Angles
3 4
5 6
Based on your discoveries: What can you say about alternate interior angles?
3 4
5 6
Alternate exterior Angles
1 2
7 8
Based on your discoveries: What can you say about alternate exterior angles?
1 2
7 8
Consecutive interior Angles
3 4
5 6
Based on your discoveries: What can you say about Consecutive interior angles?
3 4
5 6
Things to know:Vertical angles are always
Congruent
Things to know:If the lines are parallel then:
Corresponding Angles areCongruent
Things to know:If the lines are parallel then: Alternate Interior Angles are
Congruent
Things to know:If the lines are parallel then: Alternate Exterior Angles are
Congruent
Things to know:If the lines are parallel then:
Consecutive Interior Angles areSupplementary
Quick summary:
If lines are parallel, then
All ’s are congruent
All ‘s are congruent
+ = 180
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