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Practice for Proofs of: Parallel Lines Proving Converse of AIA, AEA, SSI, SSE. By Mr. Erlin Tamalpais High School 10/20/09. r. Converse of Alternate Interior Angles Theorem. Given :. Statement Reason. 1. 2. p. 3. 4. 5. 6. Prove : p is parallel to q. q. 7. 8.
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By Mr. Erlin
Tamalpais High School
10/20/09
Converse of Alternate Interior Angles Theorem
Given:
Statement Reason1
2
p
3
4
5
6
Prove: p is parallel to q
q
7
8
& 4 5
QED
Converse of Alternate Exterior Angles Theorem
Given:
Statement Reason1
2
p
3
4
5
6
Prove: p is parallel to q
q
7
8
& 1 8
QED
Converse of Same Side Interior Angles are Supplementary
transversal
corresponding
congruent
lines are parallel.
r
Given:
Statement Reason1
2
p
Prove: Line p is parallel to line q
3
4
5
6
q
and: 3 &5 are supplementary
QED
Converse of Same Side Exterior Angles are Supplementary
transversal
corresponding
congruent
lines are parallel.
r
Given:
Statement Reason1
2
p
Prove: Line p is parallel to line q
3
4
5
6
q
7
and: 1 &7 are supplementary
QED
