Beyond the EU: DORA and NIS 2 Directive's Global Impact
Ch 3.3
1. Clark - Ch 3.4 1
CHAPTER 3
SECTION 3.3
9/28/2011 Proving Lines Are Parallel
2. When two lines are cut by a
2
transversal so that…
Corresponding angles are , then the lines are
parallel
Corresponding Angle Converse
Alternate Interior angles are , then the lines are
parallel
Alternate Interior Angle Converse.
Alternate Exterior angles are , then the lines are
parallel
Alternate Exterior Angle Converse
Same Side Interior angles are supplementary , then
the lines are parallel
Same Side Interior Angle Converse3.4
Clark - Ch 9/28/2011
3. Is It Possible to Prove That Lines P and Q
Are Parallel? If So Explain How.
3
1. Yes
• m 1 = 124 (vert. thm.)
1
• 1 and 56 are
supplementary
• SS Int. Angle Converse
2. Yes
• 58 + 74 = 132
• Corresponding Angle
Converse
Clark - Ch 3.4 9/28/2011
4. Is It Possible to Prove That Lines P and Q
Are Parallel? If So Explain How.
4
1
1. Yes
• m 1 = 180 – 48 – 53 = 79
• 1 and 79 are congruent
• Alt. Int. Angle Converse
Clark - Ch 3.4 9/28/2011
5. Find the Value of x That Makes p // q
5
4. For p // q, Alt. Ext.
Angles must be
• 4x = 3x + 30
• x = 30
5. For p // q, Same Side
Angles must be
Supplementary.
• x + 3x + 24 = 180
• 4x + 24 = 180
• 4x = 156
• x = 39
6. Find the Value of x That Makes p // q
6
6. For p // q, Alt. Int.
Angles must be .
• 2x + 50 = 5x – 10
• 60 = 3x
• 20 = x
Clark - Ch 3.4 9/28/2011
7. Give the Choice or Choices That Makes the
Statement True
7
7. If two lines are cut by a transversal so that
alternate interior angles are congruent
___________,
then the lines are parallel.
8. If two lines are cut by a transversal so that
supplementary
same side interior angles are ___________,
then the lines are parallel.
Clark - Ch 3.4 9/28/2011
8. Give the Choice or Choices That Makes the
Statement True
8
9. If two lines are cut by a transversal
so that angles, alt exterior angles, corresponding angles
alt interior
___________________________
are congruent, then the lines are
parallel.
Clark - Ch 3.4 9/28/2011
9. Complete the Two Column
9
Proof
Given
Corres. ’s Postulate
Given
Transitive
Alt. Ext ’s Converse
Clark - Ch 3.4 9/28/2011
10. Write a two column proof
10
Statements Reasons
1. l // m, 1 2 1. Given
2. 1 3 2. Corres. ’s Postulate
3. 2 3 3. Transitive
4. a // b 4. Corres. ’s Converse
Clark - Ch 3.4 9/28/2011
