Proving Lines Parallel Objective : SWBAT determine if two lines are parallel (3.3) *hw/hw log/storybook/workbook p. 67/dry erase board & pen Homework.

Slides:



Advertisements
Similar presentations
Angles and Parallel Lines
Advertisements

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.
1Geometry Lesson: Aim: How do we prove lines are parallel? Do Now: 1) Name 4 pairs of corresponding angles. 2) Name 2 pairs of alternate interior angles.
Use Parallel Lines and Transversals
Introduction to Geometry Proofs
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.
5.3 Congruent Angles Associated With Parallel Lines Objective: After studying this section, you will be able to: a. apply the parallel postulate, b. identify.
Parallel and Perpendicular Lines
3.3 – Proves Lines are Parallel
 Lesson 5: Proving Lines Parallel.  Corresponding angles are congruent,  Alternate exterior angles are congruent,  Consecutive interior angles are.
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.
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
LINES CUT BY A TRANSVERSAL. 3Geometry Lesson: Proving Lines are Parallel.
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.
DefinitionsTrue / False Postulates and Theorems Lines and Angles Proof.
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,
Section 3-2: Proving Lines Parallel Goal 2.02 Apply properties, definitions, and theorems of angles and lines to solve problems and write proofs.
Continue Proving Lines Parallel (G.2a,b & G.3b) Construction G.4g Objective: SWBAT write two-column proofs (3.3) and find SWBAT construct a line parallel.
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.
3.3 Proving Lines Parallel
Geometry Notes Sections .
PROPERTIES OF PARALLEL LINES POSTULATE
Corresponding Angles Postulate
Proving Lines are Parallel
3-2 Properties of Parallel Lines
4-4: Proving Lines Parallel
Proving Lines are Parallel
Properties of Parallel Lines
Use Parallel Lines and Transversals
Advanced Geometry Parallel and Perpendicular Lines Lesson 3
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
Proving Lines Parallel
3.5 Proving Lines Parallel
Parallel Lines and Angles
3.3 Parallel Lines & Transversals
3-2 Angles & Parallel Lines
Lesson 3 – 2 Angles and Parallel Lines
3.5 Properties of Parallel Lines
Chapter 3: Parallel and Perpendicular Lines
Proving Lines Parallel
3.3 Parallel Lines & Transversals
Lesson 3.2 Use Parallel Lines and Transversals
Use Parallel Lines and Transversals
3-2 Properties of Parallel Lines
Proving Lines Parallel
3-5 Proving Lines Parallel
Proofs with Parallel Lines
Parallel Lines and Transversals
3.4 Parallel and Perpendicular Lines
Module 14: Lesson 3 Proving Lines are Parallel
Properties of parallel Lines
Parallel lines and transversals
3-2 Angles and Parallel Lines
Proving Lines Parallel
EXAMPLE 1 Identify congruent angles
Proving Lines Parallel
Proving Lines Parallel
Section 3-3 Proving Lines Parallel, Calculations.
Parallel Lines and Transversals
3.2 Parallel Lines and Transversals …..
Proving Lines Parallel
Lesson 3 – 5 Proving Lines Parallel
Angles and Parallel Lines
Presentation transcript:

Proving Lines Parallel Objective : SWBAT determine if two lines are parallel (3.3) *hw/hw log/storybook/workbook p. 67/dry erase board & pen Homework (day 12)- check odd answers in text: p. 160 (7, 10, 12-29) Bring Graph paper- Leave in notebook Quiz next block/Grade storybook p. 12 Pearson Success due Friday Warm-Up: worksheet 1-17

Copy and complete, then put behind your SOL divider (day 12)

Copy This into your SOL Binder (G.2A)- day 12 Given: a ll c What is the value of x ? x = 105 Is b ll c ? Why or why not? No, because there are no congruent corresponding, alternate interior, or alternate exterior angles. Is d ll e ? Why or why not? No, because there are no congruent corresponding, alternate interior, or alternate exterior angles. 85° x°x° 105°

Copy this into your SOL BINDER (G.2A)- day 12 Given: a ll b and d ll e Find the values of x, y, and z. x = 73 y = 107 z = ° x° 117° y° a b c d e z°

Day 12 Notes- copy this into your notebook please Answer questions on Unit 1 Test……… 5) In a plane, if lines are perpendicular to the same line // lines

Dry Erase Activity On your dry erase board, write one of the following: vocabulary word, Algebra I property, Geometry concept or Theorem. Ask a neighboring partner to define what you wrote on the back of their dry erase board. Then choose a second group of two to check your answers; if you are unsure, ask me!

Two Column Proofs: Every Statement must have a reason and vice-versa (these are justifications). Statements |Reasons (justifying the statement) Theorems (VARC), Properties (transitive, reflexive, symmetric, distributive) Vocabulary: complementary, supplementary, congruent, midpoint, etc. Postulates: angle bisector, segment addition, // postulate, Perpendicular postulate GIVEN

State which lines, if any, are parallel. Justify.

Lesson 2-5: Proving Lines Parallel15 Proving Lines Parallel If two lines are cut by a transversal and corresponding angles are congruent, AB // CD.

Lesson 2-5: Proving Lines Parallel16 Proving Lines Parallel If two lines are cut by a transversal and alternate interior angles are congruent, AB // CD.

Lesson 2-5: Proving Lines Parallel17 Proving Lines Parallel If two lines are cut by a transversal and Alternate exterior angles are congruent, AB // CD.

Lesson 2-5: Proving Lines Parallel18 Proving Lines Parallel - Postulates &Theorems If two lines are cut by a transversal and consecutive interior angles are supplementary AB // CD.

Homework Answers (day 12) (odd answers are in your textbook)- please check them!!