Geo MT 3 Lesson 1 Angle Pairs.

Slides:

Advertisements

Similar presentations

Adjacent, Vertical, Supplementary, and Complementary Angles

Advertisements

Standard 2.0, 4.0.  Angles formed by opposite rays.

Objectives Angle Pair Relationships Adjacent Angles Vertical Angles

Angle Relationships.

Objectives-What we’ll learn…

Angle Pair Relationships

Section 2.7 PROVE ANGLE PAIR RELATIONSHIPS. In this section… We will continue to look at 2 column proofs The proofs will refer to relationships with angles.

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.

L.T. I can identify special angle pairs and use their relationships to find angle measure.

 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.

CPCTC Congruent Triangles. StatementReason 1. Given 2. Given Pg. 3 #1 3. An angle bisector divides an angle into two congruent parts 4. Reflexive postulate.

Angle Relationships Geometry 1.5.

Special Pairs of Angles Lesson 8-3. Complementary Angles If the sum of the measures of two angles is exactly 90º then the angles are complementary.

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.

Chapter 1 - Section 3 Special Angles. Supplementary Angles Two or more angles whose sum of their measures is 180 degrees. These angles are also known.

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

Warm Up Name an example of: Obtuse, acute, straight, & adjacent ∠ ’s (Be sure to use 3 letters when naming the ∠ ) B H T A M.

Lesson 1-5: Pairs of Angles

Angle Relationships.

1-3 Pairs of Angles.

Sum of the Angle Measures of a Triangle Angle Pairs Lesson 40Power Up GPage 285.

Lesson 1-5 I can identify and use special pairs of angles I can identify perpendicular lines.

Lesson # 2 Definition of Angle Bisector GivenTransitiveGiven.

7.G.5 ~ Find measures of angles formed by intersecting lines.

Illustrations of Angle Pairs Geometry Mr. Killian.

1 Unit 5: Geometry Pairs of Angles. Lesson 1-5: Pairs of Angles 2 Adjacent Angles A pair of angles with a shared vertex and common side but do not have.

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

Angles Project Endiya, Nick, and Mason 5th period Let’s get learning…

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.

PARALLEL LINES CUT BY A TRANSVERSAL DEFINITIONS PARALLEL TRANSVERSAL ANGLE VERTICAL ANGLE CORRESPONDING ANGLE ALTERNATE INTERIOR ANGLE ALTERNATE EXTERIOR.

Lesson 1-5: Pairs of Angles

Lesson 1-5: Pairs of Angles

7.G.5 ~ Find measures of angles formed by intersecting lines

Angle Relationships Lesson 1.5.

Angle Relationships & Parallel Lines

Objective: To recognize and classify angles and

C A D B mÐABC = 14x + 2, mÐCBD = 6x + 1, mÐABD = 25x – 27

Module 14: Lesson 1 Angles Formed by Intersecting Lines

Angles -angle pairs GSE

Special pairs of angles

Describe Angle Pair Relationships

Lesson 14.1: Angles Formed by Intersecting Lines

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

Module 14: Lesson 1 Angles Formed by Intersecting Lines

Lesson 1-4: Pairs of Angles

Lesson 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 Teacher Twins©2014.

Lesson 4 Lines & Angles Vertical Angles.

C A D B mÐABC = 14x + 2, mÐCBD = 6x + 1, mÐABD = 25x – 27

Warm Up Take out your placemat and discuss it with your neighbor.

Lesson 1-4 Pairs of Angles.

1-5 Angle Relations.

Angle Pair Relationships

Measuring and Classifying Angles

Chapter 2 Section 4 Special Angle Pairs Special Angle Pair #1:

PARALLEL LINES CUT BY A TRANSVERSAL

Notes 1.4 Pairs of Angles.

Chapter 2 : Angles Vocabulary Terms.

Lesson 1-5 Pairs of Angles.

Vertical Angles, Linear Pairs, Exterior Angles

Adjacent, Vertical, Supplementary, and Complementary Angles

Presentation transcript:

Geo MT 3 Lesson 1 Angle Pairs

Angle Pairs Adjacent Angles: 2 angles that are next to each other. Linear Pair : A linear pair form a straight line. They are also supplementary. (they add to 1800)

Angle Pairs Vertical Angles: A pair of non-adjacent angles formed by the intersection of two straight lines. Vertical angles are always congruent.

Complementary Angles Two angles are complementary if the sum of their measures is 900.

Supplementary Angles Two angles are supplementary if the sum of their measures is 1800.

Algebra Examples The angles in this example are vertical angles so we know they are equal. Set the two angles equal to each other Subtract 3x from each side.

Here you have a pair of vertical angles And a linear pair Begin with the vertical angles Subtract 4x from both sides Add 16 to both sides Divide by 2 The sum of the angles in a linear pair =180 Substitute 11 in for x Collect like terms