Warm Up.

Slides:



Advertisements
Similar presentations
Adjacent, Vertical, Supplementary, and Complementary Angles
Advertisements

1-5: Exploring Angle Pairs. Types of Angle Pairs Adjacent Angles Vertical Angles Complementary Angles Supplementary Angles Two coplanar angles with a:
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?
Angle Relationships.
Given:
Title of Lesson: Angle Pair Relationships Section: 1.6Pages:
Proving Triangles Congruent
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.
SPECIAL PAIRS OF ANGLES. Congruent Angles: Two angles that have equal measures.
Angle Pairs 1.5. Solutions to HW 1. 89, 45, , 25.
 Vertical angles – are not adjacent, and their sides are formed by two intersecting lines  1 and 3 are vertical angles  2 and 4 are vertical angles.
1-5 Exploring Angle Pairs. Problem 1: Identifying Angle Pairs Use the diagram provided. Is the statement true? Explain.
CPCTC Congruent Triangles. StatementReason 1. Given 2. Given Pg. 3 #1 3. An angle bisector divides an angle into two congruent parts 4. Reflexive postulate.
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.
Warm Up 9-21  What supplies do you need in order to make constructions by hand?  YOU NEED YOUR CALCULATOR TODAY!!!
Section 1-6 Angle Pair Relationships. Vertical angles Formed when two lines intersect. Vertical Angles are Congruent. 1 2.
Angle Relationships.
Angle Pair Relationships
2.8 Proving Angle Relationships What you’ll learn: 1.To write proofs involving supplementary and complementary angles. 2.To write proofs involving congruent.
Any two angles whose sum is 180 degrees. Supplementary Angles.
Types of Angle Pairs Foldable
Warm up # Exploring Angles Adjacent Angles  Angles with a common vertex and one common side  Think: side by side or right next to Angles.
Measures and Relationships.  Ray – part of a line that includes one endpoint and extends infinitely in one direction  Opposite rays – rays that share.
Angle Pair Relationships and Angle Bisectors. If B is between A and C, then + = AC. Segment Addition Postulate AB BC.
Warm Up. Announcements Quiz Tomorrow Linear Pair Adjacent angles equaling 180˚
Warm up Find the midpoint of segment AB A(0,0) B(6,4)
Angle Relationships Lesson 1.5.
Warm Up Solve. x = 14 x = 9 x = 2.
Do Now Classify each angle as acute, right, obtuse or straight.
Use a protractor to draw angles with the following measurements:
Goal: Find the measures of angles formed by intersecting lines.
Warm Up Which can you use to prove congruence: SSS, SAS, ASA, or AAS?
Special pairs of angles
Warm Up Solve..
1.5 Exploring Angle Pairs.
Statements About Segments and Angles
Sec. 1.5: Angle Pairs There are five special pairs of angles:
Proof and Perpendicular Lines
The Addition Postulates and some important definitions, Module 1
Proofs – creating a proof journal.
Types of Angles & Their Relationships
Agenda EQ: How do we write 2-column Geometric Proofs? Agenda
Warm Up Using the graphic organizer on page 23 fill in the angles pairs. (we will complete the sentences together in a few minutes).
Adjacent, Vertical, Supplementary, and Complementary Angles
Lesson 4 Lines & Angles Vertical Angles.
Parallel lines and Triangles Intro Vocabulary
Warm Up Take out your placemat and discuss it with your neighbor.
Warm Up Solve. x = 14 x = 9 x = 2.
1-5 Angle Relations.
Chapter 2 Section 4 Special Angle Pairs Special Angle Pair #1:
Angles and Bisectors.
Basic Constructions Constructing a congruent segment
Warm Up Take out your placemat and discuss it with your neighbor.
01/23/17 Warm Up 2.4 On Desk Do the Daily Quiz 2.3
Exploring Angles and Angle Relationships
Warm Up Solve. x = 14 x = 9 x = 2.
1.6 Describing Pairs of Angles
Describe Angle Pair Relations
Angle Relationships OBJ: To ID and use adjacent, vertical, complementary, supplementary, and linear pairs of angles, and perpendicular lines To determine.
Vertical Angles, Linear Pairs, Exterior Angles
Exploring Angle Pairs Skill 05.
1-5 : Angle Pair Relationships
Proving Angles Congruent
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.
Geometry Exploring Angle Pairs.
Warm-Up Define: Straight Angle Complementary Angles
Adjacent, Vertical, Supplementary, and Complementary Angles
Presentation transcript:

Warm Up

Announcements Warm ups due today Quiz Tomorrow HW due tomorrow

Linear Pair Adjacent angles equaling 180˚

Vertical Angles ARE CONGRUENT Angles whose sides are opposite rays

Example: Angle 1=60 degrees, identify the vertical angles, linear pairs and find the measure of the remaining angles.

Types of Angles

Angle Addition Postulate

Example

Complimentary and Supplementary Complimentary Angles: Angles that add up to 90 degrees. Supplementary Angles: Angles that add up to 180 degrees.

Homework PG 46-47: 1-15 WS 1, 2 and 3 Step Equations WS 2 column algebra proof WS: Congruent Segment and perpendicular bisector Construction Pg. 14 #1-4, 6-10, 13-15 Pg. 196 #1-5, 13-23 Angle Constructions Worksheet Pg. 19-21 #1-3, 7, 8, 26-29