'Consecutive interior angles' diaporamas de présentation

Chapter 3

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Lines and Angles

Lines and Angles. You will be able to identify relationships between lines and angles formed by transversals. Relationships between lines. Parallel Lines ? two lines that are coplanar and do not intersect. Skew Lines? lines that do not intersect and are not coplanar.

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Warm-up 1/31/12

Warm-up 1/31/12. Given the number of sides of a regular polygon, Find: (a) the sum of the interior angles (b) one interior angle 5 sides 2. 10 sides What is the sum of the exterior angles of a 13-gon?

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Parallel Lines and Transversals

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Parallel Lines and Transversals

Geometry D – Section 3.1. Parallel Lines and Transversals. Parallel Lines and Transversals. What would you call two lines which do not intersect ?. Parallel. A solid arrow placed on two lines of a diagram indicate the lines are parallel. The symbol || is used to indicate parallel lines.

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Warm-Up

Warm-Up. Using the lines on a piece of paper as a guide, draw a pair of parallel lines. Now draw a transversal that intersects the parallel lines. Label the angles with numbers. Warm-Up.

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3.5 Proving Lines Parallel

3.5 Proving Lines Parallel. Objectives. Recognize angle conditions that occur with parallel lines Prove that two lines are parallel based on given angle relationships. Postulate 3.4 Converse of the Corresponding Angles Postulate.

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Session 3 Daily Check

Session 3 Daily Check. Name the type of angles. (1 point each) a) b). 1. 2. 1. 2. Solve for x. (4 points each) a) b) and are complementary. 4x+22. 10x-10. Homework Review. CCGPS Analytic Geometry Day 3 (8-9-13).

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5-Minute Check 1

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Section 3.1 Lines and Angles

Section 3.1 Lines and Angles. Perpendicular Lines. Intersecting lines that form right angles Symbol. XS SR. Parallel Lines. Two lines that are coplanar and do not intersect Symbol: II. XY II UZ. Skew Lines. Lines do not intersect and are not coplanar. Example.

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3.5 Proving Lines Parallel

3.5 Proving Lines Parallel. Objectives. Recognize angle conditions that occur with parallel lines Prove that two lines are parallel based on given angle relationships. Postulate 3.4 Converse of the Corresponding Angles Postulate.

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5.11

5.11. Properties of Trapezoids and Kites. The slopes of DE and CF are the same, so DE ___ CF. The slopes of EF and CD are not the same, so EF is ______________ to CD. Use a coordinate plane. Example 1. Show that CDEF is a trapezoid. Solution. Compare the slopes of the opposite sides.

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Lesson 3-5 Proving Lines Parallel

Lesson 3-5 Proving Lines Parallel. Postulate 3.4- If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel. Example: Postulate 3.5- Parallel Postulate

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Corresponding Angles Postulate

Corresponding Angles Postulate. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 1. 2. ?1 ? ?2. Alternate Interior Angles. If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. 3. 4.

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3.1 Lines and Angles

3.1 Lines and Angles. Standard/Objectives:. Standard 3: Students will have a foundation in geometric concepts. Objectives: Identify relationships between lines. Identify angles formed by transversals. Definitions.

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EXAMPLE 1

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