Holt CA Course 1 8-2 Geometric Relationships MG3.6 Identify elements of three- dimensional geometric objects (e.g., diagonals of rectangles solids) and.

Slides:

Advertisements

Similar presentations

POINTS, LINES, & RAYS.

Advertisements

7-5 Coordinate Geometry Warm Up Problem of the Day Lesson Presentation

Hook If you were to slice a cereal box with a geometric plane as shown, what shape would result? Coach’s Commentary I chose this example because it gives.

3-5 Slopes of Lines Warm Up Lesson Presentation Lesson Quiz

Geometry (Lines) SOL 4.14, 4.15, 4.16 lines, segments, rays, points, angles, intersecting, parallel, & perpendicular 4.14 The student will investigate.

Parallel, Perpendicular, and Oblique Lines

Holt CA Course Geometric Relationships 7.G.5 Solve for an unknown angle using the “properties of angles.” Common Core State Standards Learning Objective.

8-4 Classifying Pairs of Lines Warm Up Give the complement of each angle ° 2. 64° 3. 15° ° 10° 26° 75° 42°

Skew, Parallel and Perpendicular Lines

8-3 Line and Angle Relationships Warm Up Find the complement of each angle measure ° 2. 42° 60° 48° 30° ° Find the supplement of each angle.

Course Classifying Lines 8-4 Classifying Lines Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the.

7-4 Classifying Lines Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Insert Lesson Title Here

Points, Lines, & Planes.

Warm Up Give the complement of each angle ° 2. 64° 3. 15° ° 10° 26° 75° 42°

Parallel Lines and Planes By: B R C VERSION 2. Read the symbol || as is parallel to. Arrowheads are often used in figures to indicate parallel lines.

Points - Lines - Planes - Geometry and Measurement.

1.1Points, Lies, and Planes Warm Up Simplify Each Expression.

Lesson 3-1 Parallel Lines and Transversals. Ohio Content Standards:

Holt CA Course 1 9-3Circles MG3.1 Identify and construct basic elements of geometric figures (e.g., altitudes, midpoints, diagonals, angle bisectors, and.

Basic Geometric Ideas 8-1 Vocabulary Words: Point Line Plane

An Introduction to: Geometry By Wendy Bacon.

9.1 Points, Lines, Planes, and Angles Part 1: Points, Lines, and Planes.

MG2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles.

Points, Lines, and Planes pg.12

MATH Key Geometric Ideas.

Holt CA Course Coordinate Geometry Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Holt CA Course Classifying Polygons Preparation for MG2.3 Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral.

Chapter 3 Student Notes Chapter 3 Test Friday, October 12 th.

Holt CA Course Introduction to Geometry Warm Up Warm Up Lesson Presentation California Standards Preview.

3.1 Identify Pairs of Lines and Angles. » Identify the relationships between two lines or two planes » Name angles formed by a pair of lines and a transversal.

Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never.

7-3 Angle Relationships Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Geometry 2-3 Parallel and perpendicular lines. Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.

Course: Applied Geometry Aim: Parallel Lines Aim: What are Transversals and Angle Pairs? Parallel Lines? Do Now: Below are 2 intersecting straight lines.

Objective - To identify features of three-dimensional solids.

Preparation for MG3.1 Identify and construct basic elements of geometric figures (e.g., altitudes, midpoints, diagonals, angle bisectors, and perpendicular.

Homework: Quadrilaterals & Coordinate Geometry Day 1 Wkst

Definitions Parallel lines: Two lines are parallel lines if and only if they do not intersect and are coplanar. Skew Lines: Two lines are skew lines if.

POINTS, LINES, & PLANES 9-1. BASIC GEOMETRIC FIGURES NAMESAMPLESYMBOLDESCRIPTION Point Point ALocation in space Line AB Series of points that extends.

3.1 Lines and Angles Unit IC Day 1. Do Now Parallel lines have _________ slopes. ◦ Give an example of a line that is parallel to y = -3x + 7 Perpendicular.

Geometry: Plane Figures Chapter. point A point marks a location. A A B B line segment the part of the line between 2 points endpoints.

3.1 Lines and Angles. Standard/Objectives: Objectives: Identify relationships between lines. Identify angles formed by transversals.

8-3 Line and Angle Relationships Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Geometry Chapter 3 Review. #1 A CD B #2 AB C D #3 A B C D.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

8-3 I WILL... identify parallel, perpendicular, and skew lines, and angles formed by a transversal. Tell whether the lines appear parallel, perpendicular,

Angle Relationships. Adjacent Angles 1.Are “next to” each other 2.Share a common side C D are adjacent K J are not adjacent - they do not share a side.

Holt CA Course Points, Lines, Planes, and Angles Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Holt CA Course 1 9-3Circles Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

4-9 Slopes of Parallel and Perpendicular Lines Warm Up

Points, Lines and Planes in Solids

8-3 Angle Relationships Warm Up Problem of the Day Lesson Presentation

Warm Up Problem of the Day Lesson Presentation.

3.1 Lines and Angles.

Warm Up Find the complement of each angle measure ° ° 60° 48°

8-3 Angle Relationships Warm Up Problem of the Day Lesson Presentation

5-6 Parallel and Perpendicular Lines

8-4 Classifying Lines Warm Up Problem of the Day Lesson Presentation

3-5 Slopes of Lines Warm Up Lesson Presentation Lesson Quiz

3.1 Identify Pairs of Lines and Angles

Skew, Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

8-4 Classifying Lines Warm Up Problem of the Day Lesson Presentation

Geometry (Lines) SOL 4.14, 4.15, 4.16 lines, segments, rays, points, angles, intersecting, parallel, & perpendicular 4.14 The student will investigate.

SECTION 3.1 Relationships Between Lines

7-4 Classifying Lines Warm Up Problem of the Day Lesson Presentation

Parallel and Perpendicular Lines

Presentation transcript:

Holt CA Course Geometric Relationships MG3.6 Identify elements of three- dimensional geometric objects (e.g., diagonals of rectangles solids) and describe how two or more objects are related in space (e.g., skew lines, the possible ways three planes might intersect). California Standards

Holt CA Course Geometric Relationships Parallel lines are lines in the same plane that never intersect. Line WX is parallel to line YZ. WX || YZ.

Holt CA Course Geometric Relationships Perpendicular lines intersect to form 90 o angles, or right angles. Line RS is perpendicular to line TU. RS | TU. __

Holt CA Course Geometric Relationships Skew lines are lines that lie in different planes. They are neither parallel nor intersecting. Line AB and line ML are skew lines. AB and ML are skew.

Holt CA Course Geometric Relationships Identify two lines that have the given relationship. A. parallel lines Additional Example 1: Identifying Lines in Space The lines are in the same plane and do not intersect. D C BA E AB || DC

Holt CA Course Geometric Relationships Identify two lines that have the given relationship. B. perpendicular lines Additional Example 1: Identifying Lines in Space The lines intersect to form 90 o angles. D C BA E CD | CE __

Holt CA Course Geometric Relationships Two lines may be perpendicular even though they do not appear to be perpendicular. Use the markings on the drawings and read the problem carefully to determine which lines are perpendicular. Caution!

Holt CA Course Geometric Relationships Identify two lines that have the given relationship. C. skew lines Additional Example 1: Identifying Lines in Space The lines lie in different planes. They are neither parallel nor intersecting. D C BA E AD and CE

Holt CA Course Geometric Relationships Check It Out! Example 1 NP  PS Identify two lines that have the given relationship. A. perpendicular lines The lines insect to form 90 o angles.

Holt CA Course Geometric Relationships Check It Out! Example 1 NP and QR Identify two lines that have the given relationship. B. skew lines The lines lie in different planes. They are neither parallel nor intersecting.

Holt CA Course Geometric Relationships Check It Out! Example 1 NR and PS Identify two lines that have the given relationship. C. parallel lines The lines are in the same plane and do not intersect.

Holt CA Course Geometric Relationships

Holt CA Course Geometric Relationships Identify two planes that appear to have the given relationship. A. perpendicular planes Additional Example 2: Identifying Planes in Space The planes intersect to form right angles. M J K N P plane MPL  plane NPL L

Holt CA Course Geometric Relationships A plane may be named by any three points that are not on the same line. Remember!

Holt CA Course Geometric Relationships Identify two planes that appear to have the given relationship. B. parallel planes Additional Example 2: Identifying Planes in Space The planes do not intersect. M J K N P L plane JKL || plane MNP.

Holt CA Course Geometric Relationships Identify two planes that appear to have the given relationship. C. neither perpendicular nor parallel planes Additional Example 2: Identifying Planes in Space The planes intersect, but they do not form right angles. M J K N P L plane JMN and plane MPL.

Holt CA Course Geometric Relationships Identify two planes that appear to have the given relationship. A. perpendicular planes Check It Out! Example 2 The planes intersect to form right angles. plane BAC  plane EAC B D F CA E

Holt CA Course Geometric Relationships Identify two planes that appear to have the given relationship. B. parallel planes Check It Out! Example 2 The planes do not intersect. plane BAC || plane DEF B D F CA E

Holt CA Course Geometric Relationships Identify two planes that appear to have the given relationship. C. neither perpendicular nor parallel planes Check It Out! Example 2 The planes intersect, but they do not form right angles. plane AEF and plane BDF B D F CA E