PARALLEL LINES AND TRANSVERSALS. CORRESPONDING ANGLES POSTULATE Two lines cut by a transversal are parallel if and only if the pairs of corresponding.

Slides:



Advertisements
Similar presentations
Chapter 3.2 Notes: Use Parallel Lines and Transversals
Advertisements

Geometry vocabulary Mr. Dorn. Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each pair of corresponding angles is.
Use Parallel Lines and Transversals
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.
1 Angles and Parallel Lines. 2 Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
3.3 Parallel Lines & Transversals
Parallel and Perpendicular Lines
Angles and Parallel Lines
3.3 – Proves Lines are Parallel
3.2 – Use Parallel Lines and Transversals
3.3 Parallel Lines and Transversals Proving angles congruent with parallel lines.
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.
PARALLEL LINES AND TRANSVERSALS SECTIONS
Angle Relationships. Vocabulary Transversal: a line that intersects two or more lines at different points. Transversal: a line that intersects two or.
Lesson 3-2 Angles and Parallel Lines. Ohio Content Standards:
Section 3-3 Parallel Lines and Transversals. Properties of Parallel Lines.
IDENTIFY PAIRS OF LINES AND ANGLES SECTION
Warm-Up Classify the angle pair as corresponding, alternate interior, alternate exterior, consecutive interior or.
3.2: Properties of Parallel Lines 1. Today’s Objectives  Understand theorems about parallel lines  Use properties of parallel lines to find angle measurements.
Section 3.2 Parallel Lines and Transversals Learning Goal: Students will identify congruent angles associated with parallel lines and transversals 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,
Geometry 9/17/14 Bellwork. 3.2 – Use Parallel Lines and Transversals Postulate 15 – Corresponding Angles Postulate If two parallel lines are cut by a.
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.
3.4 Parallel Lines and Transversals
3.2- Angles formed by parallel lines and transversals
PROPERTIES OF PARALLEL LINES POSTULATE
Corresponding Angles Postulate
Proving Lines are Parallel
3.3 Parallel Lines and Transversals
3.4 Proving that Lines are Parallel
Proving Lines are Parallel
Properties of Parallel Lines
Properties of Parallel Lines
Use Parallel Lines and Transversals
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
Parallel Lines and Angles
Chapter 3.2 Notes: Use Parallel Lines and Transversals
WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11
3.5 Properties of Parallel Lines
Warm Up #3 9/14 Given m<1 = 7x-24 m<2 = 5x+14
Chapter 3: Parallel and Perpendicular Lines
Proving Lines Parallel
Parallel Lines and a Transversal Line
Parallel Lines and a Transversal Line
3.2- Angles formed by parallel lines and transversals
Lesson 3.2 Use Parallel Lines and Transversals
Use Parallel Lines and Transversals
3-2 Properties of Parallel Lines
Proving Lines Parallel
3.3 Prove Lines are || Mrs. vazquez Geometry.
Parallel Lines and Transversals
Properties of parallel Lines
Parallel Lines and Transversals
3-2 Angles and Parallel Lines
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
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
Angles and Parallel Lines
Presentation transcript:

PARALLEL LINES AND TRANSVERSALS

CORRESPONDING ANGLES POSTULATE Two lines cut by a transversal are parallel if and only if the pairs of corresponding angles are congruent.

ALTERNATE INTERIOR ANGLES THEOREM Two lines cut by a transversal are parallel if and only if the pairs of alternate interior angles are congruent.

ALTERNATE EXTERIOR ANGLES THEOREM Two lines but by a transversal are parallel if and only if the pairs of alternate exterior angles are congruent.

CONSECUTIVE INTERIOR ANGLES THEOREM Two lines cut by a transversal are parallel if and only if the pairs of consecutive interior angles are supplementary.

CONSECUTIVE EXTERIOR ANGLES THEOREM Two lines cut by a transversal are parallel if and only if the pairs of consecutive exterior angles are supplementary.

EXAMPLE Find each numbered angle.

EXAMPLE Find the value of x.

EXAMPLE Find the value of x. The picture may not be drawn to scale. (3x + 5) o (7x – 15) o

TRANSITIVE PROPERTY OF PARALLEL LINES If two lines are parallel to the same line, then they are parallel to each other.

ASSIGNMENT Pg. 157 #4-8 all, odds Pg. 165 #3-8 all

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

© 2025 SlidePlayer.com. Inc. All rights reserved.