Parallel Lines Relationships

Parallel Lines and Transversals

Multiple Choice

If m∠1 = 30°, then m∠3 = 

• 30°
• 60°
• 150°
• undetermined

Multiple Choice

What is the m∠y?

• 76^o

• 14^o

• 104^o

• 180^o

Multiple Choice

What are parallel lines?

• Any lines that do not intersect

• Coplanar lines that do not intersect

• Noncoplanar lines that do not intersect

• Lines that intersect at a 90º angle

Parallel Lines

Remember, Parallel lines are lines that lie in the same plane that do not intersect!

Transversals

Transversals are lines that intersect two or more lines

When a transversal intersects a pair of PARALLEL LINES , 8 angles are formed

These angles have special relationships that you have to remember

Interior v. Exterior

Interior means BETWEEN the parallel lines

Exterior means OUTSIDE the paralell lines

Consecutive v. Alternate

Consecutive means on the SAME SIDE of the TRANSVERSAL

Alternate means on DIFFERENT SIDES of the TRANSVERSAL

Multiple Choice

Supplementary angles add up to...

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Corresponding Angles

Just like corresponding parts of similar figures, CORRESPONDING ANGLES are in the same position on each parallel line.

These angle pairs are CONGRUENT.

Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

• $$\angle1$$  and  $$\angle6$$  

• $$\angle6$$  and $$\angle5$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Consecutive Interior Angles / Same Side Interior

Angles on the SAME SIDE of the transversal and INSIDE of the parallel lines.

These angles are SUPPLEMENTARY ANGLES.

Multiple Select

What two angles are same-side interior angles?

• ∠1

• ∠3

• ∠5

• ∠8

Alternate Exterior Angles

Angles on the OPPOSITE SIDES of the transversal and OUTSIDE of the parallel lines.

These angles are CONGRUENT.

Multiple Choice

Given the following two parallel lines that have been cut by a transversal.

Which two angles would be Alternate Exterior?

• $$\angle8$$ and $$\angle2$$

• $$\angle6$$ and $$\angle3$$

• $$\angle5$$ and $$\angle4$$

• $$\angle5$$ and $$\angle1$$

Alternate Interior Angles

Angles on the OPPOSITE SIDES of the transversal and INSIDE of the parallel lines.

These angles are CONGRUENT.

Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

• $$\angle3$$  and $$\angle8$$  

• $$\angle7$$  and $$\angle2$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Multiple Choice

$$Find\ m\angle6.$$  

• 45

• 60

• 90

• 120

Multiple Choice

If lines are parallel with a transversal, then these two angles are?

• Vertical Angles

• Corresponding Angles

• Exterior Alternative

• Interior Alternative

Multiple Choice

If lines are parallel with a transversal, then these two angles are?

• Corresponding Angles

• Exterior Alternate Angles

• Interior Alternate Angles

• Vertical Angles

Multiple Choice

State the angle relationship and find the measure of angle 1

• Corresponding
  110
• Alternate Exterior
  110
• Corresponding
  70
• Alternate Exterior
  70

Multiple Choice

If lines are parallel, then alternate interior angles are _____________

• congruent
• parallel
• complementary
• supplementary

Multiple Choice

When lines are parallel with a transversal, what is true about Angle 7 and the given angle measurement?

• Angle 7 is congruent.

• Angle 7 is supplementary.

• Angle 7 is equal to 45 degrees.

• Together the sum is 180 degrees.

Multiple Choice

Identify the figure in the picture.

• Parallel line

• Transversal line

• Exterior angle

• Interior Angle

Multiple Select

Which statements are true? Select all that apply.

• Vertical angles are congruent.

• Corresponding Angles are Supplementary.

• Parallel Angles are Congruent.

• Alternate Interior Angles are Congruent.

Open Ended

What is one thing you learned today?