Angle Relationships Adjacent - Two angles are adjacent if and only if they satisfy four conditions: 1. They lie in the same plane. 2. They have a common.

Slides:

Advertisements

Similar presentations

2-5 Proving Angles Congruent

Advertisements

1.5 Angle Relationships.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–4) CCSS Then/Now New Vocabulary Key Concept: Special Angle Pairs Example 1:Real-World Example:

Splash Screen. CCSS Content Standards Preparation for G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles. Mathematical.

Lines, Segments, and Rays. Line  A line is perfectly straight and extends forever in both directions. Any two points on the line can be used to name.

EXAMPLE 4 Identify angle pairs

Angle Relationships.

Section 1.6 Pairs of Angles

1-5 Angle Relationships What are: adjacent angles linear pairs

GEOMETRY PRE-UNIT 4 VOCABULARY REVIEW ALL ABOUT ANGLES.

Lesson 1-5 Angle Relationships.

1.5 Angle Relationships. Objectives Identify and use special pairs of angles Identify and use special pairs of angles Identify perpendicular lines Identify.

SOLUTION EXAMPLE 4 Identify angle pairs To find vertical angles, look or angles formed by intersecting lines. To find linear pairs, look for adjacent angles.

1.5 Describe Angle Pair Relationships

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.

Splash Screen. Then/Now You measured and classified angles. (Lesson 1–4) Identify and use special pairs of angles. Identify perpendicular lines.

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?

Angle Relationship Sec 1.5 Sol: G.4c,d Adjacent Angles Definition: 2 angles that lie on the same plane, have a common vertex and a common side, but have.

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.

1 1-4 & 1-5 Angles Measures and Relationships Objectives: The student will be able to: 1.Measure and classify angles. 2.Use congruent angles and the bisector.

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.

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.

Example 1.Name all angles with B as a vertex. 2. Name the sides of angle Write another name for angle 6.

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.

Splash Screen. Over Lesson 1–4 5-Minute Check 1 A.A B.B C.C D.D Refer to the figure. Name the vertex of ∠ 3.

Chapter 1.5 Angle Relationships. Example 1 Identify Angle Pairs A. ROADWAYS Name an angle pair that satisfies the condition two angles that form a linear.

Lesson 5 Menu Warm-up Problems 1.Name the vertex of  3. 2.Name a point in the interior of  ACB. 3.Name the sides of  ABC. 4.Name the angles with vertex.

Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc.,

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

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

Types of Angle Pairs Foldable

Measures and Relationships.  Ray – part of a line that includes one endpoint and extends infinitely in one direction  Opposite rays – rays that share.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–4) Then/Now New Vocabulary Key Concept: Special Angle Pairs Example 1:Real-World Example:

1.5 Notes: Angle Relationships. Vocab VocabularyDefinitionPictureNon-examples Adjacent Angles Linear Pair Vertical Angles Two angles that share a common.

Five-Minute Check (over Lesson 1–4) Mathematical Practices Then/Now

Angle Relationships Lesson 1.5.

1.5 Angle Relationships.

Chapter 2 Reasoning and Proof.

Angle Relationships Section 1-5.

Angle Relationships.

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

Identify and use special pairs of angles.

Angle Relationships.

Two angles that add up to 90 degrees.

Angle Pairs Module A1-Lesson 4

1-5 Angle Relations.

Measures and Relationships

I thank You, Lord, for the Bible’s many reminders of Your complete power over all things. This truth is a source of comfort for me when I see the wicked.

Exploring Angles and Angle Relationships

Click the mouse button or press the Space Bar to display the answers.

1.6 Describing Pairs of Angles

Five-Minute Check (over Lesson 1–4) Mathematical Practices Then/Now

Angle Relationships.

Presentation transcript:

Angle Relationships Adjacent - Two angles are adjacent if and only if they satisfy four conditions: 1. They lie in the same plane. 2. They have a common vertex. 3. They have a common side. 4. They have no common interior points.

Angle Relationships Vertical angles - Two nonadjacent angles formed by two intersecting lines. All vertical angles are congruent. Linear Pair - A pair of adjacent angles whose noncommon sides are opposite rays. The angles in a linear pair have measures that add to 180 degrees.

Example 5-1c Name an angle pair that satisfies each condition. a. two acute vertical angles b.two adjacent angles whose sum is less than 90 Answer:  BAC and  CAD or  EAF and  FAN Answer:  BAC and  FAE,  CAD and  NAF, or  BAD and  NAE

Angle Relationships Complementary Angles - Two angles whose measures have a sum of 90 degrees. Supplementary Angles - Two angles whose measures have a sum of 180 degrees.

Example 5-2d ALGEBRA Find the measures of two complementary angles if one angle measures six degrees less than five times the measure of the other. Answer: 16, 74

Angle Relationships Perpendicular (  ) - Lines that intersect to form right angles. Perpendicular lines intersect to form four right angles. Perpendicular lines intersect to form congruent adjacent angles. Segments and rays can be perpendicular to lines or to other line segments and rays. The right angle symbol in a figure indicates that the lines are perpendicular.

Example 5-3c ALGEBRA Find x and y so that and are perpendicular. Answer:

Determine whether each statement can be assumed from the figure below. Explain. a. b.  TAU and  UAY are complementary. c.  UAX and  UXA are adjacent. Example 5-4d Answer: Yes; lines TY and SX are perpendicular. Answer: No; they do not share a common side. Answer: No; the sum of the two angles is 180, not 90.