Warm Up Simplify each expression. 1. 90 – (x + 20) 2. 180 – (3x – 10) Write an algebraic expression for each of the following. 3. 4 more than twice a number.

Slides:

Advertisements

Similar presentations

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Advertisements

Sections 3 and 4. An angle is a figure formed by two rays, or sides, with a common endpoint called the vertex (plural: vertices). You can name an angle.

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

EXAMPLE 4 Identify angle pairs

Objectives a. Identify adjacent, vertical, complementary, and supplementary angles. b. Find measures of pairs of angles. c. Find the co-ordinates of the.

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

A4.1 GT Geometry. Simplify each expression – (x + 20) – (3x – 10) Write an algebraic expression for each of the following more than.

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Holt McDougal Geometry 1-4 Pairs of Angles Objectives 1.Identify adjacent angle and linear pair. 2.Identify and find measure of Complementary and supplementary.

1.6 What you should learn Why you should learn it

Holt McDougal Geometry 1-4 Pairs of Angles 1-4 Pairs of Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.

Warm up 1. Solve 3x + 9 = Simplify the expression 9x + 2y, where x = -5 and y = b + 3c – 4f, let b = -4, c= - 3 and f = 6 4. Find the midpoint.

1.5: Describe Angle Pair Relationships 1.6: Classify Polygons Objectives: 1.To use special angle relationships to find angle measures 2.To define, name,

Holt McDougal Geometry 1-4 Pairs of Angles Simplify each expression – (x + 20) – (3x – 10) Write an algebraic expression for each of the.

Do Now (Turn on laptop to my calendar) Simplify each expression – (x + 20) – (3x – 10) Write an algebraic expression for each of the following.

1-4 Pairs of Angles Lesson Presentation Lesson Quiz Holt Geometry.

Objectives You will… Identify adjacent, vertical, complementary, and supplementary angles. Find measures of pairs of angles.

Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane

Holt McDougal Geometry 1-4 Pairs of Angles Warm Up Simplify each expression – (x + 20) – (3x – 10) Write an algebraic expression for each.

2.2 Complementary and Supplementary Angles

Holt McDougal Geometry 1-4 Pairs of Angles Identify adjacent, vertical, complementary, and supplementary angles. Find measures of pairs of angles. Objectives.

 TEKS Focus:  (6)(A) Verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angle formed.

Holt Geometry 1-4 Pairs of Angles 1-4 Pairs of Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Geometry 1.6 Angle Pair Relationships. VERTICAL ANGLES Vertical angles are two angles whose sides form two pairs of opposite rays

Holt Geometry 1-4 Pairs of Angles 1-4 Pairs of Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

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.

Holt Geometry 1-4 Pairs of Angles Warm Up: put in your notes Simplify each expression – (x + 20) – (3x – 10) Write an algebraic expression.

Holt McDougal Geometry 1-4 Pairs of Angles 1-4 Pairs of Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.

WARM UP Simplify each expression – (x + 20) – (3x – 10)

Holt McDougal Geometry 1-4 Pairs of Angles WARM-UP: Prob 1 = 4 Points, Prob 2 = 2 points.

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

1.7 Angle Relationships Warm Up Simplify each expression.

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Objectives Identify adjacent, vertical, complementary, and supplementary angles. Find measures of pairs of angles.

Objectives Identify adjacent, vertical, complementary, and supplementary angles. Find measures of pairs of angles.

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Simplify each expression – (x + 20) – (3x – 10)

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Angle Relationships Section 1.7.

Angle Relationships Section 1.7.

Lesson 4 Lines & Angles Vertical Angles.

Two angles that add up to 90 degrees.

Angle Relationships Section 1.7.

DRILL 1. XTS acute right 2. WTU 64° 35

1-5 Angle Relations.

Measuring and Classifying Angles

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Objectives Identify adjacent, vertical, complementary, and supplementary angles. Find measures of pairs of angles.

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

1-6 Vocabulary complementary angles supplementary angles

Proving Statements About Angles

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Notes 1.4 Pairs of Angles.

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

01/23/17 Warm Up 2.4 On Desk Do the Daily Quiz 2.3

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

1-4 Pairs of Angles Holt McDougal Geometry Holt Geometry.

Angles Pair Relationships

Objective SWBAT identify various angle pairs then write and solve equations based on their relationships HW Pg 31{1, 3, 5, 7,11,13, 27, 29, 31,35,37,39,

Warm Up Your folder How many angles are in this picture?

1.4 Pairs of Angles.

Objectives Identify adjacent, vertical, complementary, and supplementary angles. Find measures of pairs of angles.

Identifying Angle Pair Relationships

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Presentation transcript:

Warm Up Simplify each expression – (x + 20) – (3x – 10) Write an algebraic expression for each of the following more than twice a number 4. 6 less than half a number 70 – x 190 – 3x 2n + 4

11.  1 or  JMK;  2 or  LMK;  M or  JML °; rt35. m  COD = m  BOC = 9° °; obtuse36. ROCK = 90°; R & B = 108°; °; acute JAZZ = 126°; RAP = 36° °41. D °42. H °43. C °44. J °; 22.5° see drawings / ° 34. m  AOB = 90°; RT m  BOC = 126°; OBTUSE m  COD = 36°; ACUTE m  DOA = 108°; OBTUSE

A. 5 and 6 Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. Example 1 B. 7 and SPU C. 7 and 8 not adjacent adjacent adjacent, linear line

You can find the complement of an angle that measures x° by subtracting its measure from 90°, or (90 – x)°. You can find the supplement of an angle that measures x° by subtracting its measure from 180°, or (180 – x)°.

Example 2 a. complement of E Find the measure of each of the following. b. supplement of F = (102 – 7x)° 180 – 116.5° = 90° – (7x – 12)° = 90° – 7x° + 12° (90 – x)° (180 – x)

An angle is 10° more than 3 times the measure of its complement. Find the measure of the complement. Example 3A x = 3(90 – x) + 10 x = 270 – 3x + 10 x = 280 – 3x 4x = 280 x = 70 The measure of the complement, B, is (90 – 70) = 20. Step 1 Let mA = x°. Then B, its complement measures (90 – x)°. Step 2 Write and solve an equation.

Example 3B An angle’s measure is 12° more than the measure of its supplement. Find the measure of the angle. x = 0.5(180 – x) + 12 x = 90 – 0.5x + 12 x = 102 – 0.5x 1.5x = 102 x = 68 The measure of the angle is 68.

Light passing through a fiber optic cable reflects off the walls of the cable in such a way that 1 ≅ 2, 1 and 3 are complementary, and 2 and 4 are complementary. If m1 = 47°, find m2, m3, and m4. Example 4 Think of the important information:  1   2  1 and  3 are complementary, and  2 and  4 are complementary. m  1 = 47° m  1 = m  2 = 47° If  3 and  1 are complementary, then m  3 = (90 – 47)° = 43°. If  4 and  1 are complementary, then m  4 = (90 – 47)° = 43°.

Vertical angles:two nonadjacent angles formed by two intersecting lines. Example 5 Name the pairs of vertical angles. HML and JMK are vertical angles. HMJ and LMK are vertical angles. pg. 32 ________________________________________________________  1 and  3 are vertical angles, as are  2 and  4.