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Geometry Warm-up
Write the Converse, Inverse, and Contrapositive of
the statement:
Middle school boys do not
get kisses from mom.
If two parallel lines are
cut by a transversal….
1
Postulate 3-1 “Corr. < Post.”\
3
2
p
4
Theorem 3-1 “Alt.Inter. < theo.
Thorem 3-2 “Consec. Inter. < theo.
Theorem 3-3 “Alt. Exter. < theo.
5 6
7 8
t
q
If two parallel lines are
cut by a transversal….
1
Postulate 3-1 “Corr. < Post.”\
3
2
p
4
Theorem 3-1 “Alt.Inter. < theo.
Thorem 3-2 “Consec. Inter. < theo.
Theorem 3-3 “Alt. Exter. < theo.
5 6
7 8
t
If two parallel lines are cut by a a
transversal, then each pair of
corresponding angles is congruent.
q
If two parallel lines are
cut by a transversal….
1
Postulate 3-1 “Corr. < Post.”\
3
2
p
4
Theorem 3-1 “Alt.Inter. < theo.
Thorem 3-2 “Consec. Inter. < theo.
Theorem 3-3 “Alt. Exter. < theo.
5 6
7 8
t
If two parallel lines are cut by a
transversal, then each pair of alternate
interior angles is congruent.
q
If two parallel lines are
cut by a transversal….
1
Postulate 3-1 “Corr. < Post.”\
3
2
p
4
Theorem 3-1 “Alt.Inter. < theo.
Thorem 3-2 “Consec. Inter. < theo.
Theorem 3-3 “Alt. Exter. < theo.
5 6
7 8
q
t
If two parallel lines are cut by a
transversal, then each pair of consecutive
interior angles is supplementary.
If two parallel lines are
cut by a transversal….
1
Postulate 3-1 “Corr. < Post.”\
3
2
p
4
Theorem 3-1 “Alt.Inter. < theo.
Thorem 3-2 “Consec. Inter. < theo.
Theorem 3-3 “Alt. Exter. < theo.
5 6
7 8
t
If two parallel lines are cut by a
transversal, then each pair of alternate
exterior angles is congruent.
q
Theorem 3-4
In a plane, if a line is
perpendicular to one of two
parallel lines, then it is
perpendicular to the other.
We can use these theorems to
solve for unknown angles!
Please turn to page
133, example #2