Understanding and using angles created when parallel lines are cut by a transversal

Angles between two parallel lines and on the same side of a transversal.

• Same Side Int. Angles

• Same Side Ext. Angles

• Vertical Angles

• Corresponding Angles

What is the next step in the construction of a line parallel to line g?

• Draw a line from point P that intersects line g

• With compass at point A, draw an arc that intersects both sides of the angle

• Set the compass radius to the length of BC and draw a small arc from point D that intersects the arc drawn

• Draw a line that connects point P to the intersection of the two arcs

Angles  e and d are what type of angles?

• Vertical Angles
• Corresponding Angles
• Alternate Interior Angles
• Alternate Exterior Angles

Corresponding angles are...

• congruent

• supplementary

• complementary

• not related

What type of angles are these?

• corresponding

• alterenate interior

• alternate exterior

• same side

Corresponding angles formed on parallel lines cut by a transveral are always congruent.

• True

• False

• Sometimes

What relationship exists between angles 2 and 3

• Corresponding angles

• Supplementary angles

• Vertical angles

• Alternate Exterior Angles

What is the relationship of angle 12 and angle 15

• Vertical

• Consecutive interior

• Alternate exterior

• Corresponding

Angle 7 and angle 6 are

• vertical
• corresponding
• alternate interior
• alternate exterior

Which lines are parallel, and why?

• m || n because corresponding angles are congruent

• m || n because alternate interior angles are congruent

• p || q because corresponding angles are congruent

• p || q because alternate interior angles are congruent