Proving Lines Parallel in Geometry

What is the converse of the corresponding angles theorem?

• If two lines are parallel, then corresponding angles are congruent.

• If corresponding angles are congruent, then the lines are parallel.

• If two lines are parallel, then alternate interior angles are congruent.

• If alternate exterior angles are congruent, then the lines are parallel.

Which angles are used in the converse of the alternate interior angles theorem?

• Angles 1 and 8

• Angles 3 and 7

• Angles 2 and 6

• Angles 4 and 5

If two lines and a transversal form same side interior angles that are supplementary, what can be concluded?

• The lines are perpendicular.

• The lines are parallel.

• The angles are complementary.

• The angles are congruent.

Which lines are parallel if angle 1 is congruent to angle 2?

• Lines a and b

• Lines g and h

• Lines e and f

• Lines c and d

What type of angles are angles 2 and 6 if they are congruent?

• Corresponding angles

• Alternate interior angles

• Same side interior angles

• Alternate exterior angles

In a flow proof, what property is used to conclude that if 2 is congruent to 4 and 4 is congruent to 6, then 2 is congruent to 6?

• Transitive property

• Symmetric property

• Reflexive property

• Substitution property

What is the degree measure that makes the lines parallel if the same side interior angles are 55 degrees and x degrees?

• 135 degrees

• 155 degrees

• 145 degrees

• 125 degrees

If 9x - 2 equals 70, what is the value of x that makes the lines parallel?

• 9

• 8

• 7

• 6

What should angle 2 be if angle 1 is 35 degrees and they are same side interior angles?

• 135 degrees

• 145 degrees

• 165 degrees

• 155 degrees

If 7x + 17 equals 9x - 1, what is the value of x?

• 10

• 9

• 8

• 7