Special pairs of angles

Slides:

Advertisements

Similar presentations

Adjacent, Vertical, Supplementary, and Complementary Angles

Advertisements

Warm Up:. Linear Pair I: Two angles that share a common vertex and together make a straight line (180°). M: What is the missing measure?

2.6 – Proving Statements about Angles Definition: Theorem A true statement that follows as a result of other true statements.

Objectives Angle Pair Relationships Adjacent Angles Vertical Angles

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

2.3 Complementary and Supplementary Angles

Objectives-What we’ll learn…

Angle Pair Relationships

SPECIAL PAIRS OF ANGLES. Congruent Angles: Two angles that have equal measures.

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

Geometry Section 1.6 Special Angle Pairs. Two angles are adjacent angles if Two angles are vertical angles if.

Angle Relationships Geometry 1.5.

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.

Three Types of Special Angles

Honors Geometry Section 1.3 part2 Special Angle Pairs.

+ CHAPTER 2 Section 3: Angle Bisectors. + Objective: Find measures of complementary and supplementary angles. Where would we use this in real life?

ANGLERELATIONSHIPS SECTION 1-5 and 2-8 Jim Smith JCHS Spi.3.2.E.

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

2-4 Special Pairs of Angles. A) Terms 1) Complementary angles – a) Two angles whose sum is 90° b) The angles do not have to be adjacent. c) Each angle.

Section 1.6 Angle Pair Relationships standard #13 7/3/2016.

Types of Angle Pairs Foldable

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

1.6 Angle Pair Relationships. Adjacent Angles  Remember: Adjacent Angles share a vertex and a ray, but DO NOT share any interior points.

Warm Up Solve. x = 14 x = 9 x = 2.

Angle Relationships & Parallel Lines

Objective: To recognize and classify angles and

1.6 Angle Pair Relationship

Chapter 1 section 7 Angle relationships

Angles -angle pairs GSE

Warm Up Solve..

Describe Angle Pair Relationships

Chapter 1: Essentials of Geometry

Angle Relationship Notes

1.5 Exploring Angle Pairs.

Chapter 1.5 Notes: Describe Angle Pair Relationships

Angle Relationships Section 1-5.

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

Section 1.5. Section Angle Pair Relationships Identify vertical angles and linear pairs. Identify complementary and supplementary angles.

1.6 Describing Pairs of Angles

Types of Angles & Their Relationships

Adjacent, Vertical, Supplementary, and Complementary Angles

Angle Relationships.

Describe Angle Pair Relationships

1.6 Angle Pair Relationships

Warm Up Solve. x = 14 x = 9 x = 2.

1-5 Angle Relations.

Angle Pair Relationships

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

Angles and Bisectors.

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

PARALLEL LINES CUT BY A TRANSVERSAL

Angle Pair Relationships

Warm Up Solve. x = 14 x = 9 x = 2.

2.6 Deductive Reasoning GEOMETRY.

Exploring Angle Pairs Skill 05.

1.4 Pairs of Angles.

Homework p31(3-8,13,14,19,26,31,47,49).

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

Geo MT 3 Lesson 1 Angle Pairs.

1-5 : Angle Pair Relationships

Identifying Angle Pair Relationships

Supplementary Angles Supplementary Angles are two angles that together add up to 180 degrees. *The angles do not have to be next to each other to be supplementary.

Advanced Geometry Section 2.2 Complementary and Supplementary Angles

Angles : Complementary Angles R A B C P Q Two angles that add up to 90° are called complementary angles.

Geometry Exploring Angle Pairs.

Adjacent, Vertical, Supplementary, and Complementary Angles

Presentation transcript:

Special pairs of angles

Adjacent Angles • Have a common vertex and a common side.

•. Complementary angles. •. Add up to 90o. •. 34o and 56o are • Complementary angles • Add up to 90o • 34o and 56o are complementary. • The complement of 70o is 20o.

Angles that are both complementary and adjacent together form a right angle.

•. Supplementary angles. •. Add up to 180o. •. 115o and 65o are • Supplementary angles • Add up to 180o • 115o and 65o are supplementary. • The supplement of 40o is 140o.

•. Linear Pair. •. Two adjacent. angles. that together. form a line. • • Linear Pair • Two adjacent angles that together form a line • The angles in a linear pair are always supplementary.

Solve for x, and find the size of the angles.

4x + 20 + x – 10 = 180 5x + 10 = 180 5x = 170  x = 34

Since x = 34 … 4x + 20 = 156 x – 10 = 24

•. Vertical angles. •. When lines cross, the. angles that are across • Vertical angles • When lines cross, the angles that are across from each other are vertical angles.

• The name comes from the fact that they only touch at the vertex.

• Vertical angles always are congruent.

Solve for x.

Solve for x. x = 45

Angle Bisector  A ray that divides an angle into two congruent angles

REMEMBER … adjacent complementary supplementary linear pair vertical angles angle bisector