1.1 Points, Lines, and Planes

Slides:

Advertisements

Similar presentations

Points, Lines, and Planes

Advertisements

CHAPTER Understanding points, lines and planes

Points, Lines and Planes

Notes #1 (1.1 & 1.2) 1-1 Points, Lines, and Planes 1-2 Linear Measure and Precision Standard 1.0: Students demonstrate understanding by identifying and.

Basic Geometric Figures

Section 1.2 Points, Lines, and Planes Undefined Terms.

LESSON 1.1 Points, Lines and Planes Objective: I will be able to… 1.Identify and model points, lines, and planes as well as intersecting lines and planes.

Lesson 1 Menu Warm-up Problems 1.What is the value of x 2 + 3yz if x = 3, y = 6, and z = 4? 2.Solve 2(x – 7) = 5x Is (–2, 5) a solution of 3x +

Geometry 1-1 Understanding Points, Lines, and Planes.

Section 1 – Points, Lines, and Planes

1.1 Points, Line and Planes.

Terms, Notation, and Representation

1-2 Objective: Today you will learn some basic terms and symbols in geometry so that you will be able to use and name basic shapes and terms. Today is.

Chapter 1 – Reasoning in Geometry 1.2 – Points, Lines, and Planes.

Lesson 1 – 1 Points, Lines, and Planes

+ 1-1 Points, Lines, and Planes. + Real-Life + Vocabulary Undefined Terms- point, line, and plane are considered undefined terms because they are only.

1-1 Points, Lines, and Planes

Undefined Terms and Definitions. Undefined Terms Point simply a location represented by a dot named with a capital letter no shape no size.

WARM UP. Snap Wink O 1. Stand up. O 2. Wink your left eye and snap your right hand index finger and thumb at the same time. O 3. Wink your right eye.

Solve each equation. 1.5(x – 6) = 402.5b = 2(3b – 8)3.2y + 6y = 15 – 2y x + 8 > 20 Absolute Value Equations and Inequalities Solve each inequality.

Lesson 1.1- Points. Lines and Planes Objective: The student will be able to make and describe fundamental sketches. The student will also be able to understand.

POINTS, LINES, AND PLANES 9/8/11. Point – A location. It has neither shape nor size Named by: A capital Letter Example: Point A Line – made up of points.

1.2 Points, Lines and Planes Postulate or axiom – an accepted statement of fact. These are the basic building blocks of Geometry.

Section 1.1 Points, Lines, and Planes 11/22/2016.

HAPPY MONDAY! Did you get your syllabus signed?? Check out books Workbooks 1.1 Notes Say and Draw Homework.

1.2; 8-19 All 8. 30, , ; 3434; ; 12,321; 1,234, ; 1122; 111, Even 14. The middle integer 15. The next two.

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

WARM UP 01/09/17 Go over the words and write the Definition of each:

1.1 Points, Lines, and Planes

Points, Lines, Segments, and Rays

Terms, Notation, and Representation

1.1 Points, Lines, and Planes

Pre-AP Bellwork Describe what the slope of the line is and how you can calculate it. Use complete sentences.

Understanding Points, 1-1 Lines, and Planes Warm Up

SEGMENTS, RAYS, PARALLEL LINES AND PLANES

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

WARM UP 1. x ≥ ≤ x ≤ 6 3. x < 1 OR x > 0

Name:__________ warm-up 1-1

Points, Lines, Segments, and Rays

1.1 Identify Points, Lines and Planes

Points, Lines, and Planes

Identify and model points, lines, and planes.

Understanding Points, 1-1 Lines, and Planes Warm Up

What is the value of x2 + 3yz if x = 3, y = 6, and z = 4?

1.2 Points, Lines, Planes, and Space

undefined term definition defined term space point line plane

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

Points, Lines, and Planes

1-2 Points, Lines, and Planes

Point Line Plane Collinear Coplanar Segment Ray Opposite Rays

undefined term definition defined term space point line plane

Name ALL lines and segments.

Chapter 1 Section 1 Points, Lines, and Planes

Identify Points Lines and Planes

1.1 Points, Lines, and Planes 1.3 Distance and Midpoints

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

Geometry Chapter 1 Essentials of Geometry

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

Bell Work Problem 1) Predict the next three numbers.

The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point, line, and plane.

Points, Lines, and Planes

Points, Lines, Segments, and Rays

Identify Points, Lines, and Planes

Pts, Lines & Planes OBJ: To ID & model pts, lines & planes

Points, Lines, and Planes

Points, Lines, and Planes

1.1 – Identify Points, Lines, and Planes

1-1: Point Lines and Planes

Bell Work Decide whether the object would model a point, line or plane. (a) (b) (c) (d) a car antenna.

1.1 Understanding Points, Lines, and Planes

Presentation transcript:

1.1 Points, Lines, and Planes Homework: pg. 8 # 3-16, 21, 25, 28, 30, 32, 34, 35-38

1.1 Points, Lines, and Planes Learning Goals: Students will be able to name points, lines, and planes. Students will sketch intersections of lines and planes and solve real-life problems involving lines and planes.

Definitions A point is simply a location. A line is made up of points and is infinite. Fact: There is exactly 1 line through any two points. Points lying on the same line are collinear. A Line Segment has a start and a finish, known as endpoints. A Ray has an endpoint and continues infinite.

Definitions A plane is a flat surface made up of points. Points that lie on the same plane are coplanar. Fact: There is exactly one plane through any three noncollinear points. Space is a boundless, three-dimensional set of all points. Space contains lines and planes.

Example 1: Use the figure to name the following: What is the name of the plane? Give another name for line a . Name a point. Name 3 points that are collinear. Example 1-1b

Example 2: VISUALIZATION Name the geometric shape modeled by a 10  12 patio. Let’s take a look around the room….. Can you find 5 lines? Can you find 5 points? Can you name a plane and then 2 things that are not coplanar with it? How many geometric shapes do you find in the room? Example 1-2b

Example 3: Draw and label a figure for the following situation. Plane R contains lines and , which intersect at point P. Add point C on plane R so that it is not collinear with or . Example 4: Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Add point F on plane D so that it is not collinear with any of the three given lines Example 1-3a

Example 5: How many planes appear in this figure? Name 3 points that are collinear. At what point does DB and AC intersect? Are points A, B, C, and D coplanar? Explain Example 1-4a