SECTION 3.1 Relationships Between Lines

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Presentation transcript:

SECTION 3.1 Relationships Between Lines VOCABULARY Parallel Lines Perpendicular Lines Skew Lines Parallel Planes LEARNING TARGETS: Students will be able to identify parallel, perpendicular, skew lines. Students will be able to identify parallel and perpendicular planes.

Chapter 3 Goals Identify relationships between the angles formed by two lines and a transversal, especially when the two lines are parallel. Use properties of parallel and perpendicular lines to find angle measures. Identify the angle relationships necessary for showing that two lines are parallel. Explore Translations.

Chapter 3 Essential Questions How are properties of geometric figures related to their measurable attributes? How can relationships between geometric figures be verified using the coordinate plane? How are translations in geometry related to functions in algebra?

Quick Reminder:

Activity 3.1 – Lines in Space QUESTION: How are lines related in space? MATERIALS: Pencil Straightedge Lined Paper PAGE 107 IN TEXTBOOK

STEP 1:

STEP 2:

STEP 3:

THINK ABOUT IT:

VOCABULARY PARALLEL LINES:

VOCABULARY PERPENDICULAR LINES:

VOCABULARY SKEW LINES: Two lines that do not lie in the same plane and never intersect. In the diagram below, lines c and b are skew lines.

Example (Notes)

Example (Notes)

Example (Textbook)

VOCABULARY PARALLEL PLANES: Two planes that do not intersect.

VOCABULARY LINE PERPENDICULAR TO A PLANE: A line perpendicular to a plane is a line that intersects a plane in a point and that is perpendicular to every line in the plane that intersects it.

Example (Notes)

Example (Notes)

HOMEWORK: Page 110 #1-5, 9-33, 42, 43 Section 3.1 Assignment Due Tuesday, 11/08