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.

Slides:



Advertisements
Similar presentations
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:
Advertisements

Splash Screen. CCSS Content Standards Preparation for G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles. Mathematical.
Angle Pair Relationships
1-5: Exploring Angle Pairs. Types of Angle Pairs Adjacent Angles Vertical Angles Complementary Angles Supplementary Angles Two coplanar angles with a:
EXAMPLE 4 Identify angle pairs
Section 1.6 Pairs of Angles
2 minutes Bell Ringer p , 3, 9 3 minutes Then turn to p. 40 to Bisect an angle Follow steps 1-4 Use an entire sheet of paper in your notebook.
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. Pairs of Angles Adjacent
Warm Up.
Pre-AP Bellwork 6) Claire draws an angle that measures 56. Justin draws a congruent angle. Justin says his angle is obtuse. Is he correct? Why or why not?
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.
L.T. I can identify special angle pairs and use their relationships to find angle measure.
UNIT 01 – LESSON 06 – ANGLE RELATIONSHIPS Essential Question How can you describe angle pair relationships and use thee descriptions to find angle measures?
Angle Pairs 1.5. Solutions to HW 1. 89, 45, , 25.
Splash Screen. Concept Angle 3 and angle ABC have a common interior space a common vertex and No common interior Angle 3 and angle ABC do not have a common.
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.
CCSS Content Standards Preparation for G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles. Mathematical Practices.
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.
Two angles are adjacent if they share a common vertex and side, but have no common interior points. SIDE BY SIDE…shoulder to shoulder. YES NO.
1.5 Exploring Angle Pairs.
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.
1.5 Angle Relationships Then: You measured and classified angles. Now: 1. Identify and use special pairs of angles 2. Identify perpendicular lines.
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.
ANGLERELATIONSHIPS SECTION 1-5 and 2-8 Jim Smith JCHS Spi.3.2.E.
1.5 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Describe Angle Pair Relationships.
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.
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.
ANGLE PAIR RELATIONSHIPS. Definition of Angle An angle is a figure formed by two noncollinear rays that have a common endpoint. E D F 2 Symbols: DEF 2.
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 +
Proving the Vertical Angles Theorem (5.5.1) May 11th, 2016.
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.
CCSS: G.CO.9 Prove theorems about lines and angles.
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:
Splash Screen.
Five-Minute Check (over Lesson 1–4) Mathematical Practices Then/Now
Angle Relationships Lesson 1.5.
1.5 Angle Relationships.
Chapter 1.5 Notes: Describe Angle Pair Relationships
Angle Relationships Section 1-5.
Angle Relationships.
Sec. 1.5: Angle Pairs There are five special pairs of angles:
Concept.
Splash Screen.
Identify and use special pairs of angles.
Two angles that add up to 90 degrees.
Angle Pairs Module A1-Lesson 4
Splash Screen.
1-5 Angle Relations.
Splash Screen.
Splash Screen.
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.
Concept.
Exploring Angles and Angle Relationships
Click the mouse button or press the Space Bar to display the answers.
Adjacent Angles Definition Two coplanar angles with a common side, a common vertex, and no common interior points. Sketch.
Five-Minute Check (over Lesson 1–4) Mathematical Practices Then/Now
Presentation transcript:

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 B that appear to be acute. 5.If BD bisects  ABC, m  ABD = 2x + 3, and m  DBC = 3x – 13, find m  ABD.

Lesson 5 MI/Vocab adjacent angles vertical angles linear pair complementary angles supplementary angles perpendicular Identify and use special pairs of angles. Identify perpendicular lines.

Lesson 5 KC1

Lesson 5 Ex1 Identify Angle Pairs A. Name two angles that form a linear pair. A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.

Lesson 5 Ex1 Identify Angle Pairs B. Name two acute vertical angles. There are four acute angles shown. There is one pair of vertical angles.

Lesson 5 KC2

Lesson 5 KC3

Lesson 5 Ex2 Angle Measure ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the other angle. ExploreThe problem relates the measures of two supplementary angles. You know that the sum of the measures of supplementary angles is 180. PlanDraw two figures to represent the angles.

Lesson 5 Ex2 Angle Measure 6x – 6= 180Simplify. 6x= 186Add 6 to each side. x= 31Divide each side by 6. Solve

Lesson 5 Ex2 Angle Measure Use the value of x to find each angle measure. m  A = xm  = 5x – 6 m  A = 31m  = 5(31) – 6 or 149 Answer: 31, 149 ExamineAdd the angle measures to verify that the angles are supplementary. m  A + m  B= = = 180

Lesson 5 KC4

Lesson 5 Ex3 Perpendicular Lines

Lesson 5 Ex3 Perpendicular Lines 90= (3x + 6) + 9xSubstitution 90= 12x + 6Add. 84= 12xSubtract 6 from each side. 7= xDivide each side by 12. Answer: x = 7

Lesson 5 Ex4 A. Determine whether the following statement can be justified from the figure below. Explain. m  VYT = 90 Interpret Figures

Lesson 5 Ex4 B. Determine whether the following statement can be justified from the figure below. Explain.  TYW and  TYU are supplementary. Answer: Yes, they form a linear pair of angles. Interpret Figures

Lesson 5 Ex4 C. Determine whether the following statement can be justified from the figure below. Explain.  VYW and  TYS are adjacent angles. Answer: No, they do not share a common side. Interpret Figures