Proving Lines Parallel and Perpendicular

What does the parallel postulate state?

• All lines are parallel to each other.

• No lines can be parallel.

• There is exactly one line parallel to a given point not on the line.

• There are multiple lines parallel to a given point.

If two lines are cut by a transversal and corresponding angles are congruent, what can be concluded?

• The lines are parallel.

• The lines are perpendicular.

• The lines are skew.

• The lines are intersecting.

What is the converse of the alternate interior angles theorem?

• If alternate interior angles are congruent, the lines are intersecting.

• If alternate interior angles are congruent, the lines are parallel.

• If alternate interior angles are congruent, the lines are perpendicular.

• If alternate interior angles are congruent, the lines are skew.

What must be true for consecutive interior angles to conclude that two lines are parallel?

• They must be congruent.

• They must be supplementary.

• They must be complementary.

• They must be adjacent.

In the given example, why is segment BE parallel to segment CG?

• Because of the alternate interior angle theorem.

• Because of the corresponding angle theorem.

• Because of the alternate exterior angle theorem.

• Because of the consecutive interior angle theorem.

What is the reason for segment PS being parallel to segment QT?

• Converse of the alternate exterior angle theorem.

• Converse of the corresponding angle theorem.

• Converse of the alternate interior angle theorem.

• Converse of the consecutive interior angle theorem.

In a flowchart proof, if angle one and angle three are supplementary, and angle one and angle two are supplementary, what can be concluded about angle three and angle two?

• They are linear pairs.

• They are adjacent.

• They are congruent.

• They are complementary.

What is true about perpendicular lines?

• They form one right angle.

• They form no right angles.

• They form four right angles.

• They form two right angles.

If a line is perpendicular to one of two parallel lines, what can be concluded?

• It is intersecting the other line.

• It is skew to the other line.

• It is parallel to the other line.

• It is perpendicular to the other line.

If line T is perpendicular to both lines M and N, what can be concluded about lines M and N?

• They are perpendicular.

• They are skew.

• They are intersecting.

• They are parallel.