Module 14: Lesson 3 Proving Lines are Parallel

Slides:



Advertisements
Similar presentations
Chapter 3.1 Properties of Parallel Lines 2.0 Students write geometric proofs 4.0 Students prove basic theorems involving congruence 7.0 Students prove.
Advertisements

Use Parallel Lines and Transversals
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.
Table of Contents page 7: 3-5 Proving Lines Parallel page 8: 3-5 Practice.
3.3 Parallel Lines & Transversals
Warm-Up x + 2 3x - 6 What is the value of x?. Geometry 3-3 Proving Lines Parallel.
PROVING LINES PARALLEL. CONVERSE OF  … Corresponding Angles Postulate: If the pairs of corresponding angles are congruent, then the lines are parallel.
3.3 Parallel Lines and Transversals Proving angles congruent with parallel 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.
Warm Up Week 1 1) If ∠ 1 and ∠ 2 are vertical angles, then ∠ 1 ≅ ∠ 2. State the postulate or theorem: 2) If ∠ 1 ≅ ∠ 2 and ∠ 2 ≅ ∠ 3, then ∠ 1.
3-3 Proving Lines Parallel
LINES CUT BY A TRANSVERSAL. 3Geometry Lesson: Proving Lines are Parallel.
1 2 Parallel lines Corresponding angles postulate: If 2 parallel lines are cut by a transversal, then corresponding angles are congruent….(ie.
Angle Relationships. Vocabulary Transversal: a line that intersects two or more lines at different points. Transversal: a line that intersects two or.
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.
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,
3-2 Properties of Parallel Lines. 2) Postulate 10: Corresponding Angles Postulate If two parallel lines are cut by a transversal then the pairs of corresponding.
Corresponding Angles Postulate If a transversal intersects 2 || lines, then corresponding s are .
3.4 Parallel Lines and Transversals
3.2- Angles formed by parallel lines and transversals
Parallel Lines and Angle Relationships
PROPERTIES OF PARALLEL LINES POSTULATE
Proving Lines are Parallel
3-2 Properties of Parallel Lines
3.4 Proving that Lines are Parallel
Parallel Lines & Angle Relationships
Proving Lines are Parallel
Properties of Parallel Lines
Use Parallel Lines and Transversals
3.1 Lines and Angles 3.1 Lines and Angles.
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
Parallel Lines and Angles
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.
Proving Lines Parallel
WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11
Chapter 3: Parallel and Perpendicular Lines
Proving Lines Parallel
3.2- Angles formed by parallel lines and transversals
 
Use Parallel Lines and Transversals
3-2 Properties of Parallel Lines
Proving Lines Parallel
Module 14: Lesson 2 Transversals and Parallel Lines
3.3 Prove Lines are || Mrs. vazquez Geometry.
3-5 Proving Lines Parallel
Parallel Lines and Transversals
Proving Lines Parallel
3.2 – Proving Lines Parallel
Properties of parallel Lines
3-2 Angles and Parallel Lines
Proving Lines Parallel
Converse Definition The statement obtained by reversing the hypothesis and conclusion of a conditional.
Proving Lines are Parallel
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11
2.3 Proving Lines Parallel Review of Previous Postulates
3-2 Proving Lines Parallel
Parallel Lines and Transversals
Proving Lines Parallel
Do Now.
Presentation transcript:

Module 14: Lesson 3 Proving Lines are Parallel

Converse of the Same-Side Interior Angles Postulate If 2 lines are cut by a transversal such that same-side interior angles are supplementary, then the 2 lines are parallel. t p 3 4 5 6 q

Converse of the Alternate Interior Angles Theorem If 2 lines are cut by a transversal such that alternate interior angles are congruent…or have the same measure, then the 2 lines are parallel. t p 3 4 5 6 q

Converse of the Alternate Exterior Angles Theorem If 2 lines are cut by a transversal such that alternate exterior angles are congruent…or have the same measure, then the 2 lines are parallel. t 1 2 p q 7 8

Converse of the Corresponding Angles Theorem If 2 lines are cut by a transversal such that corresponding angles are congruent…or have the same measure, then the 2 lines are parallel. t 1 2 p 3 4 5 6 q 7 8

Homework pages 705-708 #1-12, 15, 16 (all)

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com. Inc. All rights reserved.