Identify and use special pairs of angles.

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.

EXAMPLE 4 Identify angle pairs

Angle Relationships.

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.

Title of Lesson: Angle Pair Relationships Section: 1.6Pages:

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 Relationships. Pairs of Angles Adjacent

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.

Lesson 1.5 Angle 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.

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.

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

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.

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

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

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.

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.

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

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.

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:

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

Angle Relationships Lesson 1.5.

Do Now Classify each angle as acute, right, obtuse or straight.

1.5 Angle Relationships.

Chapter 2 Reasoning and Proof.

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:

Use algebra to write two-column proofs.

Lesson 1-4: Pairs of Angles

Lesson 1-4: Pairs of Angles

Nick has a slice of cake. He wants to cut it in half, bisecting the 46° angle formed by the straight edges of the slice. What will be the measure of the.

1.6 Describing Pairs of Angles

Angle Relationships.

1-5 Angle Relations.

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

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.

undefined term definition defined term space point line plane

Exploring Angles and Angle Relationships

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

1.6 Describing Pairs of Angles

Describe Angle Pair Relations

Lesson 1-5 Pairs of Angles.

Chapter 1 Basics of Geometry.

2.6 Deductive Reasoning GEOMETRY.

Angle Relationships OBJ: To ID and use adjacent, vertical, complementary, supplementary, and linear pairs of angles, and perpendicular lines To determine.

Exploring Angle Pairs Skill 05.

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

Are the following statements ALWAYS, SOMETIMES, or NEVER true?

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

Identifying Angle Pair Relationships

Presentation transcript:

Identify and use special pairs of angles. Identify perpendicular lines. Splash Screen

Mathematical Practices 2 Reason abstractly and quantitatively. Content Standards Preparation for G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles. Mathematical Practices 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. CCSS

adjacent angles linear pair vertical angles complementary angles supplementary angles perpendicular Vocabulary

Concept

Identify Angle Pairs A. ROADWAYS Name an angle pair that satisfies the condition two angles that form a linear pair. A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays. B. ROADWAYS Name an angle pair that satisfies the condition two acute vertical angles. Example 1

A. Name two adjacent angles whose sum is less than 90. B. Name two acute vertical angles. Example 1a

Concept

Angle Measure ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle. ALGEBRA Find the measures of two complementary angles if one angle measures six degrees less than five times the measure of the other. Example 2

Concept

ALGEBRA Find x and y so that KO and HM are perpendicular. Perpendicular Lines ALGEBRA Find x and y so that KO and HM are perpendicular. Example 3

Example 3

Concept

Concept

Determine whether the following statement can Interpret Figures Determine whether the following statement can be justified from the figure below. Explain. A. mVYT = 90 B. TYW and TYU are supplementary. C. VYW and TYS are adjacent angles. Example 4

A. Determine whether the statement mXAY = 90 can be assumed from the figure. B. Determine whether the statement TAU is complementary to UAY can be assumed from the figure. Example 4a

Homework Page 51 (8-17, 19-26, 29) CCSS