Holt CA Course 1 8-1 Points, Lines, Planes, and Angles Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Slides:

Advertisements

Similar presentations

5-1 Special Segments in Triangles

Advertisements

Concurrent Lines, Medians, and Altitudes

Points, Lines, Planes, and Angles

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

DO NOW Sketch each figure. CD GH AB Line m Acute ABC XY II ST.

Chapter measuring and constructing segments

Learn to describe figures by using the terms of geometry.

4-7 Median, Altitude, and Perpendicular bisectors.

Warm Up Construct each of the following. 1. A perpendicular bisector. 2. An angle bisector. 3. Find the midpoint and slope of the segment (2, 8) and (–4,

Section 5.2 Use Perpendicular Bisectors. Vocabulary Perpendicular Bisector: A segment, ray, line, or plane that is perpendicular to a segment at its midpoint.

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

OBJECTIVE: 1) BE ABLE TO IDENTIFY THE MEDIAN AND ALTITUDE OF A TRIANGLE 2) BE ABLE TO APPLY THE MID-SEGMENT THEOREM 3) BE ABLE TO USE TRIANGLE MEASUREMENTS.

Keystone Geometry. » There are four types of segments in a triangle that create different relationships among the angles, segments, and vertices. ˃Medians.

Points - Lines - Planes - Geometry and Measurement.

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

What are we studying next?

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

8.6 Proportions & Similar Triangles

Section 1-5: Constructions SPI 32A: Identify properties of plane figures TPI 42A: Construct bisectors of angles and line segments Objective: Use a compass.

8.1 Building Blocks of Geometry

Building Blocks of Geometry

Pre-Algebra 5.1 Points, Lines, Planes, and Angles.

Holt CA Course Triangles Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation

Pre-Algebra 5-1 Points, Lines, Planes, and Angles Learn to classify and name figures.

CHAPTER 1: Tools of Geometry

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

Holt Geometry 1-2&3 Measuring and Constructing Segments and Angles Warm Up Solve

8-1 Building Blocks of Geometry Warm Up Solve. 1. x + 1 = = 2x 3. x – 7 = 6 4. = x3x

Warm Up Solve. 1. x + 30 = x = x = = 61 + x 5. x + 20 = 90 Course Points, Lines, Planes, and Angles x = 60 x =

Preview Warm Up California Standards Lesson Presentation.

Points, Lines, Planes, and Angles

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

7-1 Points, Lines, and Planes Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

Preview Warm Up California Standards Lesson Presentation.

5-1 Points, Lines, Planes, and Angles Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

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

Holt CA Course Angle Measures in Triangles Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

1.5 Segment & Angle Bisectors p.34. Always Remember! If they are congruent, then set their measures equal to each other!

 In Chapter 1, you learned the definition of a midpoint of a segment. What do you think a midsegment of a triangle is?  Find the midpoint of AB: o A(-2,

GEOMETRY JEOPARDY Points, Lines, Rays Measuring Segments Measuring Angles Basic Constructions Miscellaneous Math

Holt McDougal Geometry 4-Ext Proving Constructions Valid 4-Ext Proving Constructions Valid Holt Geometry Lesson Presentation Lesson Presentation Holt McDougal.

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.

Section 5.2 Use Perpendicular Bisectors. Vocabulary Perpendicular Bisector: A segment, ray, line, or plane that is perpendicular to a segment at its midpoint.

 Objectives:  Students will apply proportions with a triangle or parallel lines.  Why?, So you can use perspective drawings, as seen in EX 28  Mastery.

Chapter 1Section 1 - Points and Lines in the Plane 1 Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane Section 1 Points and Lines in.

1-6 Basic Constructions.

1.6 Basic Construction 1.7 Midpoint and Distance Objective: Using special geometric tools students can make figures without measurments. Also, students.

Building Blocks of Geometry

Solve. 1. n + 9 = = n – n = = n = 28 n = 26 n = 11 n = 49 n7n7 Do Now.

Basic Terms of Geometry. Basic Geometric Figures Undefined terms: ♥Line ♥Point ♥Plane.

8-1 Building Blocks of Geometry Course 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

LESSON 11.2 CHORDS AND ARCS OBJECTIVE: To use chords, arcs and central angles to solve problems To recognize properties of lines through the center of.

Perpendicular Bisectors and Altitudes of Triangles.

Holt McDougal Geometry 1-3 Measuring and Constructing Angles 1-3 Measuring and Constructing Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

8-1 Building Blocks of Geometry. 8-1 Building Blocks of Geometry Warm Up Solve – – x 2/3 4. √16 x √

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

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

Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.

5-3 Use Angle Bisectors of Triangles Warm Up Lesson Presentation

1.6 Basic Constructions SOL: G4 Objectives: The Student Will …

Ch 1-6 Basic Constructions

Perpendicular and Angle Bisectors Warm Up Lesson Presentation

Warm Up Construct each of the following. 1. A perpendicular bisector.

5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation

5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation

Unit 2 – Similarity, Congruence, and Proofs

NAMING GEOMETRIC FIGURES

Building Blocks of Geometry

Presentation transcript:

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

Holt CA Course Points, Lines, Planes, and Angles Warm Up Solve. 1. x + 30 = x = x = = 61 + x 5. x + 20 = 90 x = 60 x = 77 x = 148 x = 29 x = 70

Holt CA Course Points, Lines, Planes, and Angles Preparation for MG3.1 Identify and construct basic elements of geometric figures (e.g., altitudes, midpoints, diagonals, angle bisectors, and perpendicular bisectors; central angles, radii, diameters, and chords of circles) by using a compass and straightedge. California Standards

Holt CA Course Points, Lines, Planes, and Angles Points, lines, and planes are the building blocks of geometry. Segments, rays, and angles are defined in terms of these basic figures.

Holt CA Course Points, Lines, Planes, and Angles A point names a location. A Point A

Holt CA Course Points, Lines, Planes, and Angles A line is perfectly straight and extends forever in both directions. line l, or BC B C l

Holt CA Course Points, Lines, Planes, and Angles A plane is a perfectly flat surface that extends forever in all directions. plane P, or plane DEF D E F P

Holt CA Course Points, Lines, Planes, and Angles G H A segment, or line segment, is the part of a line between two points. GH

Holt CA Course Points, Lines, Planes, and Angles K J A ray is a part of a line that starts at one point and extends forever in one direction. KJ

Holt CA Course Points, Lines, Planes, and Angles Additional Example 1: Naming Lines, Planes, Segments, and Rays A. a line Any 2 points on a line can be used. KL or JK Use the diagram to name each figure. Possible answers:

Holt CA Course Points, Lines, Planes, and Angles Additional Example 1: Naming Lines, Planes, Segments, and Rays B. a plane Use the diagram to name each figure. Possible answers: Plane or plane JKL Any 3 points in the plane that form a triangle can name a plane.

Holt CA Course Points, Lines, Planes, and Angles Additional Example 1: Naming Lines, Planes, Segments, and Rays C. four segments Use the diagram to name each figure. Possible answers: JK, KL, LM, JM D. four rays KJ, KL, JK, LK Possible answers:Write the endpoint first. Write the two points in any order.

Holt CA Course Points, Lines, Planes, and Angles When naming a ray always write the endpoint first. Caution!

Holt CA Course Points, Lines, Planes, and Angles Check It Out! Example 1 A. four segments Use the diagram to name each figure. Possible answers: AB, BC, CD, AD B. four rays CB, CD, DA, DC Possible answers: A B C D Write the endpoint first. Write the two points in any order.

Holt CA Course Points, Lines, Planes, and Angles Check It Out! Example 1 C. a line Any 2 points on a line can be used. AB or DC Use the diagram to name each figure. Possible answers: A B C D

Holt CA Course Points, Lines, Planes, and Angles Check It Out! Example 1 Use the diagram to name each figure. Possible answers: A B C D D. a plane Plane R or plane ABC Any 3 points in the plane that form a triangle can name a plane.