19 12 15 7 8 14 11 20.

Slides:



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

Use Parallel Lines and Transversals
PARALLEL LINES and TRANSVERSALS.
3.2 Properties of Parallel Lines Objectives: TSW … Use the properties of parallel lines cut by a transversal to determine angles measures. Use algebra.
& Problem Solving.  You will be able to use the converse of a theorem to construct parallel lines.  You will be able to use theorems to find the measures.
Transversal and Parallel Lines
LINES CUT BY A TRANSVERSAL
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
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 Cut by a Transversal, Day 2. Warm Up Find the measures of angles 1, 2, and 3, if m
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.
Geometry.  Draw over two lines on your paper a couple inches apart.  Draw a transversal through your two parallel lines.  Find the measures of the.
Section 3-3 Parallel Lines and Transversals. Properties of Parallel Lines.
Do Now A B C D 1.Name a line that does not intersect with line AC. 2.What is the intersection of lines AB and DB?
Section 3.2 Parallel Lines and Transversals Learning Goal: Students will identify congruent angles associated with parallel lines and transversals and.
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.
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
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
Warm Up Word Bank Vertical Angles Congruent Angles Linear Pair Parallel Lines Skew Lines – Lines that do not intersect and are not coplanar.
Lesson 3.1 AIM: Properties of Parallel Lines
Use Parallel Lines and Transversals
Parallel Lines cut by a Transversal Practice
Proving Lines Parallel
Alternate Interior Angles
Section 3-1: Properties of Parallel Lines
Parallel Lines and Angles
Chapter 3.2 Notes: Use Parallel Lines and Transversals
Lesson 2 Crisscross Applesauce
WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11
Warm Up Solve for x. x x + 1 = 90 4x + 2 = 90 4x = 88 x = 22.
Warm Up #3 9/14 Given m<1 = 7x-24 m<2 = 5x+14
Chapter 3: Parallel and Perpendicular Lines
Parallel Lines and a Transversal Line
Parallel Lines and a Transversal Line
3.2- Angles formed by parallel lines and transversals
3.2 Use || Lines and Transversals
Use Parallel Lines and Transversals
Angles and Transversal lines
PARALLEL LINES Cut by a transveral.
Congruent, Supplementary, and Complementary
Warm Up Solve for x. x x + 1 = 90 4x + 2 = 90 4x = 88 x = 22.
Parallel Lines and Transversals
Module 14: Lesson 3 Proving Lines are Parallel
Proving Lines Are Parallel
Properties of parallel Lines
PARALLEL LINES CUT BY A TRANSVERSAL
3-1 Properties of Parallel Lines M11.B A
Angle Relationships with Parallel Lines
WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11
2.3 Proving Lines Parallel Review of Previous Postulates
Parallel Lines and Transversals
3-1 Properties of Parallel Lines
3.2 Parallel Lines and Transversals …..
Do Now.
3.2 Notes: Use Parallel Lines and Transversals
Parallel lines & algebra
Properties of parallel lines cut by a transversal
Angles and Parallel Lines
Presentation transcript:

  19 12 15 7 8 14 11 20

Parallel Lines and transversals

Corresponding Angles     1 2 3 4 5 6 7 8

Alternate Exterior Angles     1 2 3 4 5 6 7 8

Alternate Interior Angles     1 2 3 4 5 6 7 8

Same Side Interior Angles If 2 ││ (parallel) lines are cut by a transversal, then the same side int ∠s R supplementary.   1 2 3 4 5 6 7 8

Ex. 1 Solve for x. x 60°

Ex. 2 Solve for x and y. x y 143°

Ex. 3 Solve for x and y. x 152° y

Ex. 4 Solve for x, y and z. x 24° y z

Warm Up Find the missing angle measures. m∠14 m∠7 m∠8 m∠12 m∠20 8 12 7 14 105° 20

Using Algebra with Parallel Lines

Ex. 1 Solve for x. 3x 60°

Ex. 2 Solve for x. 2x + 90 x + 30

Ex. 3 Solve for x and y. y 106° 2x

Ex. 4 Solve for y. (y – 20)° y 70°