Proving Lines Are Parallel

Slides:



Advertisements
Similar presentations
Chapter 3.3 Notes: Prove Lines are Parallel
Advertisements

Chapter 3.2 Notes: Use Parallel Lines and Transversals
Use Parallel Lines and Transversals
Lesson 3-4 Proving lines parallel,. Postulates and Theorems Postulate 3-4 – If two lines in a plane are cut by a transversal so that corresponding angles.
Jim Smith JCHS Section 3-1, 3-2. A Line That Intersects 2 Or More Lines At Different Points Is Called A Transversal transversal.
3.3 – Proves Lines are Parallel
Proving lines parallel Chapter 3 Section 5. converse corresponding angles postulate If two lines are cut by a transversal so that corresponding angles.
PROVING LINES PARALLEL. CONVERSE OF  … Corresponding Angles Postulate: If the pairs of corresponding angles are congruent, then the lines are parallel.
3.1 Lines and Angles Objective: Students will identify the relationships between 2 lines or 2 planes, and name angles formed by parallel lines and transversals.
Section 3.1 ~ Parallel and Skew lines!
3.3 Proving Lines Parallel Converse of the Corresponding Angles Postulate –If two lines and a transversal form corresponding angles that are congruent,
Lesson 2-5: Proving Lines Parallel 1 Lesson Proving Lines Parallel.
Prove Lines are Parallel
Geometry Section 3.2 Use Parallel Lines and Transversals.
3-3 Proving Lines Parallel
1 2 Parallel lines Corresponding angles postulate: If 2 parallel lines are cut by a transversal, then corresponding angles are congruent….(ie.
Section 3-3 Parallel Lines and Transversals. Properties of Parallel Lines.
Warm-Up Classify the angle pair as corresponding, alternate interior, alternate exterior, consecutive interior or.
Section 3.2 Parallel Lines and Transversals Learning Goal: Students will identify congruent angles associated with parallel lines and transversals and.
Ch 3.1 Standard 2.0: Students write geometric proofs. Standard 4.0: Students prove basic theorems involving congruence. Standard 7.0: Students prove and.
3.4 Proving Lines Parallel Converse of 3.3. Theorems to find Parallel lines If two lines are cut by a transversal and corresponding angle are congruent,
PROPERTIES OF PARALLEL LINES POSTULATE
Corresponding Angles Postulate
Proving Lines are Parallel
3.4 Proving that Lines are Parallel
Parallel Lines & Angle Relationships
Proving Lines are Parallel
Use Parallel Lines and Transversals
3.3 Proving Lines are Parallel
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
3-2 Proving Lines Parallel
Proving Lines Parallel
Sec. 3-2 Proving Parallel Lines
Chapter 3.2 Notes: Use Parallel Lines and Transversals
Entry Task Pick one of the theorems or the postulate from the last lesson and write the converse of that statement. Same Side Interior Angles Postulate.
3.3 Parallel Lines & Transversals
WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11
Lesson 3 – 2 Angles and Parallel Lines
Proving Lines Parallel
Parallel Lines and a Transversal Line
Parallel Lines and a Transversal Line
 
Use Parallel Lines and Transversals
Proving Lines Parallel
Warm Up: 1. Find the value of x. ANSWER 32
Transversal: Parallel Lines and Transversals
PARALLEL LINES, TRANSVERSALS
A line that intersects two or more lines at different points
Proving Lines Parallel
Proving Lines Are Parallel
3.2 – Proving Lines Parallel
Properties of parallel Lines
Parallel Lines and Transversals
Parallel Lines and Transversals
Proving Lines Parallel
Proving Lines Parallel
Angle Relationships with Parallel Lines
3.2 – Use Parallel Lines and Transversals
Lines and Angle Relationships
WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11
Parallel Lines and Transversals
3.2 Parallel Lines and Transversals …..
Proving Lines Parallel
3.2 Notes: Use Parallel Lines and Transversals
Lesson 3 – 5 Proving Lines Parallel
3.2 Parallel Lines and Transversals.
Angles and Parallel Lines
Presentation transcript:

Proving Lines Are Parallel Chapter 3 Section 3.4 Proving Lines Are Parallel

Warm-Up State the converse of each statement. If <1 is a right angle, then m<1=90 2. If m<1 + m<2=180, then <1 and <2 are supplementary.

When two lines are cut by a transversal so that… Corresponding angles are , then the lines are parallel Corresponding Angle Converse Alternate Interior angles are , then the lines are parallel Alt. Int. Angle Converse. Alternate Exterior angles are  , then the lines are parallel Alt. Ext Angle Converse Consecutive Interior angles are Supplementary , then the lines are parallel Con. Int. Angle Converse

Is It Possible to Prove That Lines P and Q Are Parallel Is It Possible to Prove That Lines P and Q Are Parallel? If So Explain How. 1. 1 2.

Is It Possible to Prove That Lines P and Q Are Parallel Is It Possible to Prove That Lines P and Q Are Parallel? If So Explain How. 3. 1

Find the Value of x That Makes p // q 4. 5.

Find the Value of x That Makes p // q 6.

Give the Choice or Choices That Makes the Statement True If two lines are cut by a transversal so that alternate interior angles ___________, then the lines are parallel. If two lines are cut by a transversal so that consecutive interior angles ___________, then the lines are parallel.

Give the Choice or Choices That Makes the Statement True If two lines are cut by a transversal so that ____________________ are congruent, then the lines are parallel.

Complete the Two Column Proof

Write a two column proof Statements Reasons