1.6 Describing Pairs of Angles

Slides:

Advertisements

Similar presentations

2-5 Proving Angles Congruent

Advertisements

Angle Relationships.

Angles (def) An ACUTE ANGLE is an angle w/ a MEASURE less than 90° (def) A Right angle is an angle w/ a MEASURE = 90° (def) An Obtuse angle is an angle.

Section 1.6 Pairs of Angles

GEOMETRY PRE-UNIT 4 VOCABULARY REVIEW ALL ABOUT ANGLES.

1.5 Describe Angle Pair Relationships

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.

1.5: Describe Angle Pair Relationships 1.6: Classify Polygons Objectives: 1.To use special angle relationships to find angle measures 2.To define, name,

Geometry Section 1.5 Describe Angle Pair Relationships.

UNIT 01 – LESSON 06 – ANGLE RELATIONSHIPS Essential Question How can you describe angle pair relationships and use thee descriptions to find angle measures?

Angles Acute angle (def)- angle measure less than 90° Right angle (def)- angle measure= 90° Obtuse angle (def)- angle measure greater than 90° Straight.

 Vertical angles – are not adjacent, and their sides are formed by two intersecting lines  1 and 3 are vertical angles  2 and 4 are vertical angles.

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.

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.

PROVING ANGLES CONGRUENT. Vertical angles Two angles whose sides form two pairs of opposite rays The opposite angles in vertical angles are congruent.

1.5 Exploring Angle Pairs.

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

Section 1-6 Angle Pair Relationships. Vertical angles Formed when two lines intersect. Vertical Angles are Congruent. 1 2.

OBJECTIVES: 1) TO IDENTIFY ANGLE PAIRS 2) TO PROVE AND APPLY THEOREMS ABOUT ANGLES 2-5 Proving Angles Congruent M11.B C.

Section 2.5: Proving Angles Congruent Objectives: Identify angle pairs Prove and apply theorems about angles.

4.1 Notes Fill in your notes. Adjacent angles share a ______________ and _______, but have no _______________________. vertexsidePoints in common.

1-3 Pairs of Angles.

Angle Relationship Sec 1.5 Sol: G.3 and G.11. Angle Relationship Sec 1.5 Sol: G.3 and G.11.

1-5 Angle Relationships Students will learn how to identify and use special pairs of angles, namely, supplementary, complementary, and congruent (have.

Special Angle Pairs. Definitions Adjacent Angles: Angles that have a common ray or side and a common vertex, but points inside either one of the angles.

Pairs of Angles Geometry Farris O I can identify adjacent, vertical, complementary, and supplementary angles. I can find measures of pairs of angles.

Section 1.5. Two angles are complementary angles if the sum of their measures is 90°. Each angle is the complement of the other. Definition of Complementary.

Any two angles whose sum is 180 degrees. Supplementary Angles.

GEOMETRY UNIT 3 VOCABULARY ALL ABOUT ANGLES. ANGLE DEFINITION Angle A figure formed by two rays with a common endpoint.

Proving the Vertical Angles Theorem (5.5.1) May 11th, 2016.

Angles #29 Acute angle (def)- angle less than 90° # 28 Right angle (def)- angle = 90° #30 Obtuse angle (def)- angle greater than 90° #31 Straight angle.

+ CHAPTER 2 Section 4: Complementary and Supplementary Angles.

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.

2.6 Proven Angles Congruent. Objective: To prove and apply theorems about angles. 2.6 Proven Angles Congruent.

Exploring Angle Pairs Unit 1 Lesson 5. Exploring Angle Pairs Students will be able to: Identify Special Angle Pairs and use their relationships to find.

Opener No Opener Today!. Ch 9.3 Complements, Supplements, Midpoints, Perpendiculars.

Lesson 1-5: Pairs of Angles

Angle Relationships Lesson 1.5.

Angles #29 Acute angle (def)- angle less than 90° # 28 Right angle (def)- angle = 90° #30 Obtuse angle (def)- angle greater than 90° #31 Straight angle.

Bellwork Find m∠RSQ and m∠TSQ. m∠XYZ = 117°. Find m∠XYW and m∠WYZ.

Chapter 1: Essentials of Geometry

Angle Pairs More Angle Pairs Definitions Pictures Angles

1.5 Exploring Angle Pairs.

Chapter 1.5 Notes: Describe Angle Pair Relationships

Angle Relationships.

Sec. 1.5: Angle Pairs There are five special pairs of angles:

1.4: Pairs of Angles.

Lesson 1-5: Pairs of Angles

1.6 Describing Pairs of Angles

Types of Angles & Their Relationships

Adjacent, Vertical, Supplementary, and Complementary Angles

Angle Relationships.

1.4: Pairs of Angles.

Angle Pairs Module A1-Lesson 4

1-5 Angle Relations.

X = 6 ED = 10 DB = 10 EB = 20 Warm Up.

Measures and Relationships

Exploring Angles and Angle Relationships

1.6 Describing Pairs of Angles

Describe Angle Pair Relations

Chapter 1 Basics of Geometry.

Exploring Angle Pairs Skill 05.

Adjacent Angles Definition Two coplanar angles with a common side, a common vertex, and no common interior points. Sketch.

Identifying Angle Pair Relationships

Geometry Exploring Angle Pairs.

Presentation transcript:

1.6 Describing Pairs of Angles

Adjacent Angle vs. Nonadjacent Angle Vocabulary Adjacent Angles—Two angles that share a common vertex and side, but have no common interior points Adjacent Angle vs. Nonadjacent Angle

Vocabulary Complementary Angles— Two positive angles whose measures have a sum of 90. Angles can be adjacent or nonadjacent.

Vocabulary Supplementary Angles— Two positive angles whose measures have a sum of 180. Supplementary Angles can be adjacent or nonadjacent.

EXAMPLE 1 In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles. R D C S A T B

Example 2 When viewed from the side, the frame of a ball-return net forms a pair of supplementary angles with the ground. Find m<BCE & m<ECD.

a. Find m<2. b. Find m<3 You Try #1 a. Find m<2. b. Find m<3 1 4 3 2

Vocabulary Linear Pair— two adjacent angles that are supplementary to one another. Noncommon side of each angle are opposite rays.

Vocabulary Vertical Angles— two angles whose sides form two pairs of opposite rays.

Example 3 Identify all the linear pairs and all the vertical angles in the figure

Example 4 Two angles form a linear pair. The measure of one angle is five times the measure of the other angle. Find the measure of each angle.

Interpreting a Diagram CAN CONCLUDE: Adjacent Angles Vertical angles Supplementary angles Point of Intersection Collinear Points Coplanar Points Interior/Exterior Points CANNOT CONCLUDE: Congruent Segments Congruent Angles Complementary Angles

What can you and cannot conclude from the diagram? You Try #2 What can you and cannot conclude from the diagram?