Geometry Lesson 1 1 Points Lines and Planes

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Geometry Lesson 1. 1 Points, Lines, and Planes Essential Question: What are the undefined

Geometry Lesson 1. 1 Points, Lines, and Planes Essential Question: What are the undefined and defined terms used in Geometry?

Goals: • Understand use the basic undefined terms and defined termsof geometry. • Sketch

Goals: • Understand use the basic undefined terms and defined termsof geometry. • Sketch the intersection of lines and planes. Geometry 1. 1 Points, Lines and Planes 11 February 2022 2

What are these terms? Defined Terms Undefined Terms • • Point Line Plane Betweeness

What are these terms? Defined Terms Undefined Terms • • Point Line Plane Betweeness Geometry 1. 1 Points, Lines and Planes • • • Collinear Points Coplanar Points Line Segment Ray Opposite Rays Coplanar 11 February 2022 3

Reading Math To be successful in any math class, you must learn to read

Reading Math To be successful in any math class, you must learn to read the text book. A math book is not just a book of problems. Geometry 1. 1 Points, Lines and Planes 11 February 2022 4

Reading Math Why do you need this skill? • To understand homework directions. •

Reading Math Why do you need this skill? • To understand homework directions. • To study examples when you get stuck. • To get caught up when you miss school. Geometry 1. 1 Points, Lines and Planes 11 February 2022 5

Geometry 1. 1 Points, Lines and Planes 11 February 2022 6

Geometry 1. 1 Points, Lines and Planes 11 February 2022 6

Geometry 1. 1 Points, Lines and Planes 11 February 2022 7

Geometry 1. 1 Points, Lines and Planes 11 February 2022 7

Collinear Points are points that lie on the same line. Coplanar Points are points

Collinear Points are points that lie on the same line. Coplanar Points are points that lie on the same plane. Intersections: Geometry 1. 1 Points, Lines and Planes 11 February 2022 8

Sample Problem 1 L N M O P a. Name four coplanar points. L,

Sample Problem 1 L N M O P a. Name four coplanar points. L, M, N, O b. Name four points that L, M, are N, not P or M, N, O, P or N, O, L, P or coplanar. L, N, O P, O, M, L 11 February Geometry 1. 1 Points, collinear Lines and Planes c. Name three 2022 points. 9

Important Terms to Know A B R S Line AB AB endpoints RS Segment

Important Terms to Know A B R S Line AB AB endpoints RS Segment RS Line BA BA Segment SR SR Lines may also be named with a single letter: l Geometry 1. 1 Points, Lines and Planes 11 February 2022 10

Rays P M Ray MP or MP Initial Point The initial point is always

Rays P M Ray MP or MP Initial Point The initial point is always first! NOT Ray PM or PM! Geometry 1. 1 Points, Lines and Planes 11 February 2022 11

Same Ray, Different Name AB and AC are the same ray! A Geometry 1.

Same Ray, Different Name AB and AC are the same ray! A Geometry 1. 1 Points, Lines and Planes C B They have the same initial point, and B and C are 11 collinear. February 2022 12

Sample Problem 2 Draw three collinear points A, B, and C. Draw point D

Sample Problem 2 Draw three collinear points A, B, and C. Draw point D which is not collinear with A, B, and C. Draw AB and BD. D A B Geometry 1. 1 Points, Lines and Planes C 11 February 2022 13

Opposite Rays A C B CA and CB are Opposite Rays are collinear. Geometry

Opposite Rays A C B CA and CB are Opposite Rays are collinear. Geometry 1. 1 Points, Lines and Planes 11 February 2022 14

Are these opposite rays? No! They are not collinear. Geometry 1. 1 Points, Lines

Are these opposite rays? No! They are not collinear. Geometry 1. 1 Points, Lines and Planes 11 February 2022 15

Sample Problem 3 Name two pairs of opposite rays. E F G H Possible

Sample Problem 3 Name two pairs of opposite rays. E F G H Possible Answers: Geometry 1. 1 Points, Lines and Planes 11 February 2022 16

Sample Problem 4 Sketch one plane with a line in the plane that intersects

Sample Problem 4 Sketch one plane with a line in the plane that intersects a line not in the plane. Geometry 1. 1 Points, Lines and Planes Use the dotted line to indicate this part of the line is behind 11 the plane. February 2022 17