Sections 1.5 & 1.6. Warm up (Left side) Definitions: Angles Classified by measure : An acute angle has a measure between 0 o and 90 o A right angle.

Slides:

Advertisements

Similar presentations

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.

Advertisements

Classify Polygons Section 1.6.

ANGLES Geometry 1.3a. State Standard: LG.1.G.4Geometry Apply, with and without appropriate technology, definitions, theorems, properties, and postulates.

Lesson 1:.  Polygon: simple, closed, flat geometric figures whose sides are straight lines.  Names of some polygons; triangle, quadrilateral, pentagon,

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?

Basic Definitions in Geometry

Angle Relationships.

Angle Pair Relationships

Angles (def) An ACUTE ANGLE is an angle w/ a MEASURE less than 90° (def) A Right angle is an angle w/ a MEASURE = 90° (def) An Obtuse angle is an angle.

Section 1.6 Pairs of Angles

Definitions of Key Geometric Terms A quick review of material covered in Math A La Salle Academy, Mrs. Masullo.

GEOMETRY REVIEW Grades Point– a location in space. Line-- a straight path that goes on forever in both directions. Line segment– a straight path.

Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.

Points, Lines, and Planes Sections 1.1 & 1.2. Definition: Point A point has no dimension. It is represented by a dot. A point is symbolized using an upper-case.

Sections 1.5 & 1.6. Notecard 16 Notecard 17 Definitions: Angles Classified by measure : An acute angle has a measure between 0 o and 90 o A right angle.

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.

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.

Geometry Section 1.5 Describe Angle Pair Relationships.

L.T. I can identify special angle pairs and use their relationships to find angle measure.

Angles Acute angle (def)- angle measure less than 90° Right angle (def)- angle measure= 90° Obtuse angle (def)- angle measure greater than 90° Straight.

Angle Relationships Geometry 1.5.

Section 1-5: Exploring Angle Pairs Objectives: Identify special angle pairs & use their relationships to find angle measures.

Math I CAN find the measure of angles. I CAN construct angles.

Geometry Agenda 1. ENTRANCE 2. Go over Practice 3. Quiz The Polygon Angle-Sum Theorems 5. Practice Assignment 6. EXIT.

Polygons A Polygon is a closed plane figure formed by 3 or more segments Each segment intersects exactly 2 other segments only at their endpoints. No.

5.1 The Polygon Angle-Sum Theorem

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 - Section 3 Special Angles. Supplementary Angles Two or more angles whose sum of their measures is 180 degrees. These angles are also known.

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

Geometry Vocabulary Introduction to Classifying Angles.

8.1 Classifying Polygons. Polygon Review  Characteristics of a Polygon All sides are lines Closed figure No side intersects more than 1 other side at.

Classifying polygons Chapter 1.

Angle and Triangle Flash Cards

Polygons Math 2A: [10-6] Polygons

Geometry Chapter 3 Parallel Lines and Perpendicular Lines Pages

Writing Definitions First – Classify what it is Second – how does it differ from others in that classification EXAMPLE: – A Square is a __________ that.

CHAPTER 3: PARALLEL LINES AND PLANES Section 3-5: Angles of Polygons.

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

Warm Up Name an example of: Obtuse, acute, straight, & adjacent ∠ ’s (Be sure to use 3 letters when naming the ∠ ) B H T A M.

1-3 Pairs of Angles.

Chapter 1-6 (Classify Polygons)  What is a polygon?  A closed plane figure formed by 3 or more line segments, with no two sides being collinear.

Geometry Section 1.6 Classifying Polygons. Terms Polygon-closed plane figure with the following properties Formed by 3 or more line segments called sides.

CHAPTER 1: Tools of Geometry Section 1-6: Measuring Angles.

GEOMETRY – DO NOW DRAW EACH FIGURE Name each polygon based on the number of sides: a) b) c)

Unit 1 All About Angles and Constructions (not necessarily in that order) Ms. Houghton Geometry Honors Fall 2014.

Special Angle Pairs. Definitions Adjacent Angles: Angles that have a common ray or side and a common vertex, but points inside either one of the angles.

Illustrations of Angle Pairs Geometry Mr. Killian.

Any two angles whose sum is 180 degrees. Supplementary Angles.

Angles Project Endiya, Nick, and Mason 5th period Let’s get learning…

Chapter 6: Quadrilaterals Fall 2008 Geometry. 6.1 Polygons A polygon is a closed plane figure that is formed by three or more segments called sides, such.

Sections 1.5 & 1.6. Vocabulary An angle consists of two different rays with the same endpoint. The rays are the sides of the angle. The endpoint is the.

ANGLE RELATIONSHIPS Mrs. Insalaca 8 th Grade Math.

16.01 Classifying Polygons. A polygon is a closed figure with three or more sides. Examples of Polygons Examples of Non – Polygons.

 Review Yes, it is a polygon No, it has a curved side.

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.

Angles #29 Acute angle (def)- angle less than 90° # 28 Right angle (def)- angle = 90° #30 Obtuse angle (def)- angle greater than 90° #31 Straight angle.

What kind of angle is

Angle Interior Any points that lie inside the rays of an angle. G B C

2.1/2.2 Angles and Triangles Warm-up (IN)

Objective: To recognize and classify angles and

Types of Triangles and Their Properties

Angles #29 Acute angle (def)- angle less than 90° # 28 Right angle (def)- angle = 90° #30 Obtuse angle (def)- angle greater than 90° #31 Straight angle.

Angle Pairs More Angle Pairs Definitions Pictures Angles

1.5 Exploring Angle Pairs.

Angle Relationships Teacher Twins©2014.

Angle Interior Any points that lie inside the rays of an angle. G B C

Chapter 2 : Angles Vocabulary Terms.

Angle Relationships Teacher Twins©2014.

Presentation transcript:

Sections 1.5 & 1.6

Warm up (Left side)

Definitions: Angles Classified by measure : An acute angle has a measure between 0 o and 90 o A right angle has a measure of exactly 90 o An obtuse angle has a measure between 90 o and 180 o A straight angle has a measure of 180 o

Definition: Congruent Angles Two angle are congruent angles if they have the same measure. **To show that two angles in a diagram are congruent, we put a matching arc inside each angle. ***We use “m” to say “measure of…”

Definition: Angle Bisector : An angle bisector is a ray that divides an angle into two congruent angles. <XYW ≅ <ZYW or m<XYW=m<ZYW

Complementary and Supplementary Angles Complementary Angles: the sum of their measures is 90 o. Supplementary Angles : the sum of their measures is 180 o. Adjacent angles Two angles that share a common vertex and side, but have no common interior points.

Linear Pair: Linear Pair is 2 adjacent angles whose sides form a straight line. **linear pair are always supplementary. Vertical Angle Pairs: Vertical angles are formed when two lines intersect. The angle pairs only touch at the vertex. ***Two pairs of vertical angles are formed when two lines intersect.

A Polygon is a closed two-dimensional shape with straight (not curved) sides. A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon. A polygon that is not convex is called concave.

Equilateral polygon - all sides are congruent. Equiangular polygon - all interior angles are congruent. Regular polygon - a convex polygon that is both equilateral and equiangular.

Polygon Names 3 sidesTriangle 4 sidesQuadrilateral 5 sidesPentagon 6 sidesHexagon 7 sidesHeptagon 8 sidesOctagon 9 sidesNonagon 10 sidesDecagon 11 sidesUndecagon 12 sidesDodecagon n sidesn-gon