Proving Lines Parallel Answers

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110172

Complete the missing parts of the paragraph proof.

Answers:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to an:it is given
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to an:angle 2
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to an:angle 3
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to an:converse alternate exterior angles theorem
110173

angle 1 ✔ angle 2 line m

A
angle 1
B
✔ angle 2
C
line m
110174

angle 1 angle 2 ✔ angle 3

A
angle 1
B
angle 2
C
✔ angle 3
110175

corresponding angles theorem ✔ converse alternate exterior angles theorem converse same side interior angles theorem

A
corresponding angles theorem
B
✔ converse alternate exterior angles theorem
C
converse same side interior angles theorem
110176

Given: ∠T ≅ ∠V; ST || UVProve: TU || VW

Answers:
♣ = ♦ = ♠ =:alternate interior angles theorem
♣ = ♦ = ♠ =:transitive property
♣ = ♦ = ♠ =:converse alternate interior angles theorem

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Proving Lines Parallel Answers — LA-Geometry A…