Angle Pairs

Angle Pairs when parallel lines are cut by a transversal

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

8 angles are formed when a transversal crosses two parallel lines and they have the following relationships.

Angle Pairs

the angles which occupy the same relative position at each intersection where a straight line crosses two others. Angles are equal.

Corresponding angles

Multiple Choice

What angle corresponds to  $$\angle1$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle2$$  

Multiple Choice

What angle corresponds to  $$\angle6$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle7$$  

Multiple Choice

What angle corresponds to  $$\angle7$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle7$$  

Multiple Choice

What angle corresponds to  $$\angle3$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle7$$  

the angles that lie on the inner side of the parallel lines but on the opposite sides of the transversal. Angles are equal.

Alternate Interior angles

Multiple Select

Which angles do you think are "Alternate Interior Angles"?

• 
  

  $$\angle2\ and\ \angle7$$
  

• $$\angle4\ and\ \angle5$$

• $$\angle2\ and\ \angle4$$

• $$\angle5\ and\ \angle7$$

• $$\angle1\ and\ \angle8$$  

the angles that lie on the outer side of the parallel lines but on the opposite sides of the transversal. Angles are equal.

Alternate Exterior angles

Multiple Select

Which angles do you think are "Alternate Exterior Angles"?

• 
  

  $$\angle1\ and\ \angle8$$
  

• $$\angle3\ and\ \angle6$$

• $$\angle1\ and\ \angle6$$

• $$\angle3\ and\ \angle8$$

• $$\angle6\ and\ \angle8$$  

two angles that are on the same side of the transversal and on the interior. Angles are supplementary.

Same-side Interior/Consecutive Angles

Match

Match the following

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same-side Interior Angles

Vertical Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Corresponding Angles

• Same-side Interior Angles

• Vertical Angles

Match

Match the following

• ∠3=∠6

• ∠2=∠7

• ∠5+∠3=180

• ∠4=∠8

Alternate Interior

Alternate Exterior

Same-side Interior

Corresponding

• Alternate Interior

• Alternate Exterior

• Same-side Interior

• Corresponding

Multiple Choice

Which of the following represents a pair of alternate exterior angles?

Multiple Choice

Which of the following represents a pair of corresponding angles?

Multiple Select

Which of the following pairs of angles are vertical angles? (There may be more than one answer?)

• ∠1 and ∠2

• ∠1 and ∠4

• ∠2 and ∠5

• ∠5 and ∠8

Multiple Select

Which of the following pairs of angles are corresponding angles?

• ∠1 and ∠2

• ∠1 and ∠4

• ∠2 and ∠6

• ∠5 and ∠8

Multiple Select

Which of the following pairs of angles are supplementary angles?

• ∠1 and ∠2

• ∠1 and ∠4

• ∠2 and ∠5

• ∠5 and ∠8

Multiple Select

Which of the following pairs of angles are alternate interior angles? (There may be more than one answer)

• ∠1 and ∠8

• ∠3 and ∠4

• ∠4 and ∠5

• ∠3 and ∠6

Multiple Select

Which of the following pairs of angles are same side interior angles?

• ∠1 and ∠8

• ∠3 and ∠5

• ∠4 and ∠5

• ∠4 and ∠6

There are only two relations; equal or supplementary. Angles are equal if they are the same angle type, angles are supplementary if they are opposite angle types.

Angle Pairs

Fill in the Blanks

If <7 is 24^o what is the measure of < 4 ? (Hint: Congruent)

Fill in the Blanks

If angle 1 is 110^o what is the measure of angle 8? (Hint: Congruent)

Fill in the Blanks

If angle 5 is 110^o what is the measure of angle 3? (Hint: Supplementary)

Fill in the Blanks

Q10) Determine the angle measurement. (Hint: Congruent)