Page 4. Line, segment and angle Postulates Line and Segment Postulates Line – a line contains at least 2 points. Plane – contains at least 3 noncollinear.

Slides:



Advertisements
Similar presentations
2-5 Proving Angles Congruent
Advertisements

2-8: Proving Angle Relationships
Geometry Section 3.6 Prove Theorems About Perpendicular Lines.
HW #17 pg. 194 #5-7, 15-17, 21, 26, 29.  Theorem 3.8  If two lines intersect to form two congruent angles that are a linear pair, then the lines must.
a location in space that has no size.
Page 4. Line, segment and angle Postulates Line and Segment Postulates Line – a line contains at least 2 points. Plane – contains at least 3 noncollinear.
Angles : Complementary Angles R A B C P Q Two angles that add up to 90° are called complementary angles.
Section 1.6 Pairs of Angles
1-5 Angle Relationships What are: adjacent angles linear pairs
Linear Pair Postulate If two angles form a linear pair then they are supplementary.
Name the plane in two different ways. 1.. Name three points that are collinear. 2.
GEOMETRY 3.4 Perpendicular Lines. LEARNING TARGETS  Students should be able to…  Prove and apply theorems about perpendicular lines.
Proving Triangles Congruent
1-5 Angle Relationships What are: adjacent angles linear pairs
Warm Up.
Angle Relationships Section 1-5 Adjacent angles Angles in the same plane that have a common vertex and a common side, but no common interior points.
SPECIAL PAIRS OF ANGLES. Congruent Angles: Two angles that have equal measures.
2.4 Vertical Angles. Vertical Angles: Two angles are vertical if they are not adjacent and their sides are formed by two intersecting lines.
Geometry Section 1.5 Describe Angle Pair Relationships.
Reasoning & Proof Chapter 2.
Angle Relationships Lesson Objective Discover relationships between special pair of angles. Vocabulary. Adjacent angles, linear pair angles, vertical angles.
9-17 Honors Geometry Warm-up Complete #1-6 on the 1-4 Enrichment page in packet.
GEOMETRY Section 1.5: Angle Relationships. Adjacent angles - two angles that lie in the same plane and have a common vertex and common side, but no common.
Postulates
Identify Pairs of Lines and Angles
Some Basic Figures Points, Lines, Planes, and Angles.
1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side) Linear pair- a pair of adjacent angles that make a.
Line and Angle Relationships Sec 6.1 GOALS: To learn vocabulary To identify angles and relationships of angles formed by tow parallel lines cut by a transversal.
Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane
Angles and Parallel Lines
Angle Relationships.
1-3 Pairs of Angles.
How do you measure, name and classify angles? What is the Angle Addition Postulate? How do you identify angle pairs? Chapter 1 Section 1.6.
Angle Relationship Sec 1.5 Sol: G.3 and G.11. Angle Relationship Sec 1.5 Sol: G.3 and G.11.
PARALLEL LINES AND TRANSVERSALS SECTIONS
Topic 1 Summary Segments and Angles. Segment Addition Postulate Example 1Example 2.
1-5 Angle Relationships Students will learn how to identify and use special pairs of angles, namely, supplementary, complementary, and congruent (have.
Lesson 1-5 I can identify and use special pairs of angles I can identify perpendicular lines.
Unit 3 Definitions. Parallel Lines Coplanar lines that do not intersect are called parallel. Segments and rays contained within parallel lines are also.
3-1 Parallel and Perpendicular Lines 3-1 Parallel Lines and Transversals.
Lesson 3.1 Identify Pairs of Lines and Angles. Definitions Parallel Lines- They don’t intersect and are COPLANAR Perpendicular Lines- They intersect at.
Geometry 3.4 adjacent angles and linear pairs. Adjacent Angles are angles that share a common side and have the same vertex, but have no interior points.
Pairs of Angles Geometry Farris O I can identify adjacent, vertical, complementary, and supplementary angles. I can find measures of pairs of angles.
Bell Ringer: Quiz Review 1.) Define a.) Collineard.) Obtuse b.) Coplanare.) Right c.) Acute Solve for x 2.) 3.) A B C 2x AC = 8X + 4 A B C D 3x +
Warm up # Exploring Angles Adjacent Angles  Angles with a common vertex and one common side  Think: side by side or right next to Angles.
To Get You Started in Geometry Class Take a moment to register your name.
Measures and Relationships.  Ray – part of a line that includes one endpoint and extends infinitely in one direction  Opposite rays – rays that share.
Angle Pair Relationships and Angle Bisectors. If B is between A and C, then + = AC. Segment Addition Postulate AB BC.
3.1 – 3.2 Quiz Review Identify each of the following.
Postulates Geometry 2.4.
Angle Relationships Lesson 1.5.
Theorems about Perpendicular Lines
Chapter 2 Reasoning and Proof.
Goal: Find the measures of angles formed by intersecting lines.
1.6 Angle Pair Relationship
Chapter 1 section 7 Angle relationships
Angle Relationships Section 1-5.
Angle Relationships.
Sec. 1.5: Angle Pairs There are five special pairs of angles:
Angle Relationships.
Angle Pairs Module A1-Lesson 4
1-5 Angle Relations.
3-2 Properties of Parallel Lines
State which postulate justifies each statement.
Measures and Relationships
Exploring Angles and Angle Relationships
PLANE A plane is a FLAT surface made up of points that extends indefinitely in all directions. Symbolic Notation: Plane V.
Angle Relationships OBJ: To ID and use adjacent, vertical, complementary, supplementary, and linear pairs of angles, and perpendicular lines To determine.
Homework p31(3-8,13,14,19,26,31,47,49).
Angles : Complementary Angles R A B C P Q Two angles that add up to 90° are called complementary angles.
Presentation transcript:

Page 4

Line, segment and angle Postulates

Line and Segment Postulates Line – a line contains at least 2 points. Plane – contains at least 3 noncollinear points.

Line and Segment Postulates Intersecting planes- The intersection of 2 planes is a line.

Line and Segment Postulates Segment addition postulate – given 3 collinear points, AB+BC=AC ABC ABBCAC + =

Angle Postulates Angle addition postulate – if B is in the interior of angle AOC, then A O C B 20º 45º

Angle Postulates Linear pair postulate – if 2 angles form a linear pair, they are supplementary O A B 30º C B 150º O AC B 30º 150º O

Page 6

L N M

R T S

Page 7

W Y X

Page 8 Two angles are adjacent if they share a common vertex and common side, but have no interior points in common. They share a common vertex and common side, but have no interior points in common. They do not share a common vertex. They share a common vertex and common side, but have no interior points in common. They have interior points in common.

Page 8

Perpendicular Lines and Planes

Page 9 Perpendicular Lines and Planes

Page 8 Perpendicular Lines and Planes

Page 10 Perpendicular Lines and Planes

Page10 Perpendicular Lines and Planes

Page 10 Perpendicular Lines and Planes

Homework Page 8 #2-12 evens, 6 do only parts a,b,f