3.2 Notes: Use Parallel Lines and Transversals

Slides:



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

Chapter 3.2 Notes: Use Parallel Lines and Transversals
PARALLEL LINES AND TRANSVERSALS. CORRESPONDING ANGLES POSTULATE Two lines cut by a transversal are parallel if and only if the pairs of corresponding.
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.
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
Geometry: Chapter 3 Ch. 3.3: Use Parallel Lines and Transversals.
Angles and Parallel Lines
3.2 – Use Parallel Lines and Transversals
Lesson 2-5: Proving Lines Parallel 1 Lesson Proving Lines Parallel.
3.2 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.
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.
EXAMPLE 1 Identify congruent angles SOLUTION By the Corresponding Angles Postulate, m 5 = 120°. Using the Vertical Angles Congruence Theorem, m 4 = 120°.
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.
3.2- Angles formed by parallel lines and transversals
PROPERTIES OF PARALLEL LINES POSTULATE
Proving Lines are Parallel
1.) In the following figure, find the value of x if m || n.
3.3 Parallel Lines and Transversals
3.4 Proving that Lines are Parallel
Proving Lines are Parallel
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
Lesson 3 – 2 Angles and Parallel Lines
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
3.3 Parallel Lines & Transversals
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
Parallel Lines and Transversals
Proving Lines Parallel
Properties of parallel Lines
Parallel Lines and Transversals
Parallel Lines and Transversals
3-2 Angles and Parallel Lines
Proving Lines Parallel
EXAMPLE 1 Identify congruent angles
Proving Lines Parallel
Proving Lines Parallel
3.2 – Use Parallel Lines and Transversals
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
Angles and Parallel Lines
Presentation transcript:

3.2 Notes: Use Parallel Lines and Transversals Goal: You will use angles formed by parallel lines and transversals.

Look @ your notes

Postulate 15 Corresponding Angles Postulate: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Ex.1: The measure of three of the numbered angles is 120o. Identify the angles. Explain your reasoning.

Theorem 3.1 Alternate Interior Angles Thm: If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Theorem 3.2 Alternate Exterior Angles Thm: If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. Theorem 3.3 Consecutive Interior Angles Thm: If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Look @ your notes

Ex: Use the diagram. a. If , find and Tell which postulate or theorem you used in each case. b. If and , what is the value of x? Show your steps.

Ex: Find the value of x.

Look @ your notes

Look @ your notes

Exit Questions: Ex: Find the value of x and y. Ex: Find and

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

© 2024 SlidePlayer.com Inc. All rights reserved.