Triangle Proofs Involving Parallel Lines

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

• They are equal to 90 degrees.

• They are complementary.

• They are congruent.

• They are supplementary.

Which of the following is an example of alternate interior angles?

• Angles on opposite sides of the transversal and outside the parallel lines.

• Angles that are adjacent to each other.

• Angles on opposite sides of the transversal and inside the parallel lines.

• Angles on the same side of the transversal.

What does the reflexive property state?

• A segment or angle is congruent to itself.

• An angle is equal to its complementary angle.

• A segment is equal to its midpoint.

• An angle is equal to its supplementary angle.

In the first proof, which angles are identified as corresponding angles?

• Angle AE and angle BD

• Angle AEB and angle BDC

• Angle E and angle D

• Angle EAB and angle DBC

What criterion is used to prove the congruence of triangles AEB and BDC?

• SSS (Side-Side-Side)

• SAS (Side-Angle-Side)

• ASA (Angle-Side-Angle)

• AAS (Angle-Angle-Side)

Which of the following is given in the first proof?

• Angle AEB is equal to angle BDC

• AE is parallel to BD

• Angle E is equal to angle D

• AE is perpendicular to BD

In the second proof, what trick is used to identify alternate interior angles?

• The X trick

• The W trick

• The Y trick

• The Z trick

Which angles are identified as congruent using the Z trick in the second proof?

• Angle F and angle H

• Angle FGJ and angle HJG

• Angle FJ and angle HG

• Angle FG and angle JH

What is the common side in the second proof?

• FG

• FH

• JH

• JG

What criterion is used to prove the congruence of triangles FGJ and HJG?

• SSS (Side-Side-Side)

• SAS (Side-Angle-Side)

• ASA (Angle-Side-Angle)

• AAS (Angle-Angle-Side)