3-1 Properties of Parallel Lines

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.
Geometry 3-1 Parallel Lines and Angles Parallel Lines- lines that never intersect Symbol: || Perpendicular Lines- lines that intersect and make right angles.
3.2 Properties of Parallel Lines Objectives: TSW … Use the properties of parallel lines cut by a transversal to determine angles measures. Use algebra.
Angle Relationships Common Necessary Vocabulary for Parallel and Intersecting Lines.
Geometry Notes Sections 3-2. What you’ll learn How to use the properties of parallel lines to determine congruent angles. How to use algebra to find angle.
Warm-Up x + 2 3x - 6 What is the value of x?. Geometry 3-3 Proving Lines 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.
Properties of Parallel Lines Geometry Unit 3, Lesson 1 Mrs. King.
3.3 Proving Lines Parallel Converse of the Corresponding Angles Postulate –If two lines and a transversal form corresponding angles that are congruent,
PROPERTIES OF PARALLEL LINES. Transversal Line that intersect two coplanar lines at two distinct points Eight angles are formed by a transversal line.
Properties of Parallel Lines
Prove Lines are Parallel
Geometry Section 3.2 Use Parallel Lines and Transversals.
PARALLEL LINES AND TRANSVERSALS SECTIONS
Parallel Lines Properties of Angles Formed by Parallel Lines and a Transversal.
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.
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.
Parallel Lines and Angles Objectives Define transversal and the angles associated with a transversal State and apply the properties of angles.
IDENTIFY PAIRS OF LINES AND ANGLES SECTION
3.2: Properties of Parallel Lines 1. Today’s Objectives  Understand theorems about parallel lines  Use properties of parallel lines to find angle measurements.
Properties of Parallel Lines.  Transversal: line that intersects two coplanar lines at two distinct points Transversal.
Transversal t intersects lines s and c. A transversal is a line that intersects two coplanar lines at two distinct points.
 Transversal: a line that intersects two coplanar lines at two different points. T (transversal) n m
Geometry. Definitions Geometry Definitions 1.straight angle - 180º.
Parallel Lines & Transversals. Transversal A line, ray, or segment that intersects 2 or more COPLANAR lines, rays, or segments.
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.
Geometry Notes Sections .
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
Geometry 3-2 Angles and Algebra
PROPERTIES OF PARALLEL LINES POSTULATE
Chapter 3.1 Properties of Parallel Lines
3-2 Properties of Parallel Lines
Parallel Lines & Transversals
3.4 Proving that Lines are Parallel
Proving Lines are Parallel
Warm Up Word Bank Vertical Angles Congruent Angles Linear Pair Parallel Lines Skew Lines – Lines that do not intersect and are not coplanar.
Properties of Parallel Lines
Lesson 3.1 AIM: Properties of Parallel Lines
Use Parallel Lines and Transversals
3.1 Lines and Angles 3.1 Lines and Angles.
Proving Lines Parallel
Alternate Interior Angles
Parallel Lines and Angles
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
 
Use Parallel Lines and Transversals
PARALLEL LINES Cut by a transveral.
3-2 Properties of Parallel Lines
Module 14: Lesson 2 Transversals and Parallel Lines
VOCABULARY (Definitions)
3.2 – Proving Lines Parallel
Properties of parallel Lines
Parallel Lines and Transversals
3-1 Properties of Parallel Lines M11.B A
Angle Relationships with Parallel Lines
2.3 Proving Lines Parallel Review of Previous Postulates
3-2 Proving Lines Parallel
3.2 Parallel Lines and Transversals …..
Presentation transcript:

3-1 Properties of Parallel Lines GEOMETRY

Vocabulary A transversal is a line that intersects two coplanar lines at two distinct points. (8 angles are formed)

4 Types of Angles Alternate Interior Angles Same-side Interior Angles Corresponding Angles Alternate Exterior Angles

Example 1: Identifying Angles Same side Interior Angles Corresponding Angles

Postulate 3-1: Corresponding Angles If a transversal intersects two parallel lines, then corresponding angles are congruent. Example:

Alternate Interior/Exterior Angles If a transversal intersects two parallel lines, then alternate interior angles and the alternate exterior angles are congruent. Example:

Same Side Interior Angles If a transversal intersects two parallel lines, then same-side interior angles are supplementary. Example:

EXAMPLE 2: Finding Measures of Angles.

Example 3: Using algebra to find Angle Measures

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

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