SECTION 3.5 Showing Lines are Parallel

Slides:



Advertisements
Similar presentations
Section 3-2: Proving Lines Parallel Goal: Be able to use a transversal in proving lines parallel. Warm up: Write the converse of each conditional statement.
Advertisements

Definitions Parallel Lines Two lines are parallel lines if they lie in the same plane and do not intersect.
PARALLEL LINES AND TRANSVERSALS. CORRESPONDING ANGLES POSTULATE Two lines cut by a transversal are parallel if and only if the pairs of corresponding.
Properties of Lines and Transversals
Use Parallel Lines and Transversals
PARALLEL LINES and TRANSVERSALS.
GEOMETRY 3.4 Perpendicular Lines. LEARNING TARGETS  Students should be able to…  Prove and apply theorems about perpendicular lines.
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.
Angles formed by Parallel Lines and Transversals.
1 Lines Part 3 How to Prove Lines Parallel. Review Types of Lines –Parallel –Perpendicular –Skew Types of Angles –Corresponding –Alternate Interior –Alternate.
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.
PROVING LINES PARALLEL. CONVERSE OF  … Corresponding Angles Postulate: If the pairs of corresponding angles are congruent, then the lines are parallel.
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.
PARALLEL LINES AND TRANSVERSALS SECTIONS
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.
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,
Proving Lines Parallel Section 3-2. Solve each equation. 1. 2x + 5 = a – 12 = x – x + 80 = x – 7 = 3x + 29 Write the converse.
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; Even m
3.1 – 3.2 Quiz Review Identify each of the following.
3.4 Parallel Lines and Transversals
3.2- Angles formed by parallel lines and transversals
PROPERTIES OF PARALLEL LINES POSTULATE
Proving Lines are Parallel
3-2 Properties of Parallel Lines
3.3 Parallel Lines and Transversals
3.4 Proving that Lines are Parallel
Proving Lines are Parallel
Properties of Parallel Lines
Chapter 3: Parallel and Perpendicular Lines
Use Parallel Lines and Transversals
Proving Lines Parallel
1. Find the value of x. ANSWER 32
Proving Lines Parallel
Proving Lines Parallel
3.5 Notes: Proving Lines Parallel
Parallel Lines and Angles
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.
3.5 Properties of Parallel Lines
Proving Lines Parallel
Remember … The converse of an if/then statement is when you switch around the “if” and “then” parts.
3.2- Angles formed by parallel lines and transversals
Use Parallel Lines and Transversals
3-2 Properties of Parallel Lines
Module 14: Lesson 2 Transversals and Parallel Lines
SECTION 3.3 Angles Formed by Transversals
Parallel Lines and Transversals
3.2 – Proving Lines Parallel
Module 14: Lesson 3 Proving Lines are Parallel
Properties of parallel Lines
Converse Definition The statement obtained by reversing the hypothesis and conclusion of a conditional.
Proving Lines Parallel
Angle Relationships with Parallel Lines
Proving Lines Parallel
Homework Due Friday Study Island- Maintenance Sheet 25
Today, you will be able to:
Section 3-3 Proving Lines Parallel, Calculations.
Parallel Lines and Transversals
3.2 Parallel Lines and Transversals …..
3.2 Notes: Use Parallel Lines and Transversals
Homework Due Friday Study Island- Maintenance Sheet 25
Presentation transcript:

SECTION 3.5 Showing Lines are Parallel LEARNING TARGETS: Students will be able to write the converse of if- then statements. Students will be able to determine if lines are parallel. VOCABULARY Converse Hypothesis Conclusion

QUESTION TO PONDER:

Vocabulary CONVERSE: The converse of an “if-then” statement is an if-then statement where the hypothesis and conclusion are switched around. The statement is formed by switching the hypothesis and the conclusion The converse of an “if-then” statement may be true or false.

Example (Notes)

Example (Textbook)

So… Today we will… Study the converses of all of the angle pairs postulates and theorems. Today we will use angle pairs to determine if lines are parallel.

Vocabulary: CORRESPONDING ANGLES CONVERSE: If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.

Vocabulary: ALTERNATE INTERIOR ANGLES CONVERSE: If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.

Vocabulary: ALTERNATE EXTERIOR ANGLES CONVERSE: If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

Vocabulary: SAME-SIDE INTERIOR ANGLES CONVERSE: If two lines are cut by a transversal so that same-side interior angles are supplementary, then the lines are parallel.

Example (Notes)

Example (Notes)

Example (Notes)

Example (Notes)

Example (Notes)

Daily Puzzler

Guided Practice: Section 3.5 Online Quiz Click Here!

HOMEWORK: Page 139, #3-5, 6-14 EVEN, 16- 29, 31-33 Section 3.5 Assignment Page 139, #3-5, 6-14 EVEN, 16- 29, 31-33 Due Tuesday, 11/15

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

© 2024 SlidePlayer.com Inc. All rights reserved.