Review Unit 1. Vocab Review Point Line Plane Collinear Points Coplanar Points Coplanar Lines Intersection Line Segment Ray Midpoint Parallel Lines Congruent.

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

1.5 Exploring Angle Pairs 9/20/10
a location in space that has no size.
ANGLES Geometry 1.3a. State Standard: LG.1.G.4Geometry Apply, with and without appropriate technology, definitions, theorems, properties, and postulates.
1-5: Exploring Angle Pairs. Types of Angle Pairs Adjacent Angles Vertical Angles Complementary Angles Supplementary Angles Two coplanar angles with a:
DEFINITIONS, POSTULATES, AND PROPERTIES Review HEY REMEMBER ME!!!!!!
Basic Definitions in Geometry
 RAY  RAY: Defined as …Ray AB is part of line AB that contains Point A and all the points on line AB that are on the same side of point A as point B.
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.
1-5 Angle Relationships What are: adjacent angles linear pairs
Geometry Ch 1.1 Notes Conjecture – is an unproven statement that is based on observation Inductive Reasoning – is a process used to make conjectures by.
Tools of Geometry Chapter 1 Vocabulary Mrs. Robinson.
GEOMETRY PRE-UNIT 4 VOCABULARY REVIEW ALL ABOUT ANGLES.
Goal 1. To be able to use bisectors to find angle measures and segment lengths.
Laying the Foundation for Understanding and Learning.
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.
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.
Chapter 1-4 Angles and Segments To Use and apply the Segment Addition Postulate and Angle Addition Postulate To classify 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.
SPECIAL PAIRS OF ANGLES. Congruent Angles: Two angles that have equal measures.
Angles Acute angle (def)- angle measure less than 90° Right angle (def)- angle measure= 90° Obtuse angle (def)- angle measure greater than 90° Straight.
Section 1-5: Exploring Angle Pairs Objectives: Identify special angle pairs & use their relationships to find angle measures.
Some Basic Figures Points, Lines, Planes, and Angles.
Foundations for Geometry Chapter 1 By: Peter Spencer Maria Viscomi Ian McGreal.
Measuring Angles. Geometry vs Algebra Segments are Congruent –Symbol [  ] –AB  CD –  1   2 Lengths of segments are equal. –Symbol [ = ] –AB = CD.
Identify the Property which supports each Conclusion.
Line and Angle Relationships Sec 6.1 GOALS: To learn vocabulary To identify angles and relationships of angles formed by tow parallel lines cut by a transversal.
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.
Geometry Vocabulary Point an exact location in space Line A straight path that goes on forever in both directions A and B are any 2 points on the line.
OBJECTIVES: 1) TO IDENTIFY ANGLE PAIRS 2) TO PROVE AND APPLY THEOREMS ABOUT ANGLES 2-5 Proving Angles Congruent M11.B C.
Unit 1 Learning Outcomes 1: Describe and Identify the three undefined terms Learning Outcomes 2: Understand Angle Relationships.
Geometry R/H 1.4 – Angle Measures 1.5 – Angle Relationships.
Geometry Vocabulary Notes. A Point A point is an exact location. Line Line Segment Plane P A line is a set of points that extend without end in opposite.
Example 1.Name all angles with B as a vertex. 2. Name the sides of angle Write another name for angle 6.
Angle Bisector and Addition Postulates, Types of Angles.
1.2 Geometry Definitions. Geometry Symbols 1.Collinear- ________________________________ 2.Non-Collinear- ____________________________ 3.Coplanar- ________________________________.
Angle Relationships.
1-5 Angle Relationships Students will learn how to identify and use special pairs of angles, namely, supplementary, complementary, and congruent (have.
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.
DAY5: 1-5 Exploring Angle Pairs. share points next to two opposite rays.
Gabriela Gottlib Geometry Journal #1. Point: A point is a dot that describes a location When you are given a point it always has a capital letter for.
Vocabulary Word: Supplementary Angles Definition: Two angles whose sum is 180°.
Basics of Geometry Chapter Points, Lines, and Planes Three undefined terms in Geometry: Point: No size, no shape, only LOCATION.  Named by a single.
Welcome to Geometry Unit 1 Vocabulary. Undefined Terms Point In Euclidean geometry, a point is undefined. You can think of a point as a location. A point.
GEOMETRY UNIT 3 VOCABULARY ALL ABOUT ANGLES. ANGLE DEFINITION Angle A figure formed by two rays with a common endpoint.
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 +
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
To Get You Started in Geometry Class Take a moment to register your name.
Angle Pair Relationships and Angle Bisectors. If B is between A and C, then + = AC. Segment Addition Postulate AB BC.
Geometry Basic Terms Unit 1 Vocabulary.
Geometry Honors Bellwork
1-4: Measuring Angles.
Angles: Setting up Equations
Good Morning  Please take out your flashcards.
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.
Proof and Perpendicular Lines
Proofs – creating a proof journal.
Parallel lines and Triangles Intro Vocabulary
Warm Up Take out your placemat and discuss it with your neighbor.
Geometry vocab. tHESE SHOULD also be DONE ON INDEX CARDS AND YOU SHOULD BE CONSTANTLY REVIEWING THEM AS WE GO!
*YOU SHOULD CONSTANTLY BE REVIEWING THIS VOCABULARY AS WE GO!
Angles and Bisectors.
Basic Definitions G.CO.1 and G.CO.12 Objectives 1, 3, 6.
Measures and Relationships
Chapter 2 : Angles Vocabulary Terms.
Exploring Angles and Angle Relationships
PLANE A plane is a FLAT surface made up of points that extends indefinitely in all directions. Symbolic Notation: Plane V.
Presentation transcript:

Review Unit 1

Vocab Review Point Line Plane Collinear Points Coplanar Points Coplanar Lines Intersection Line Segment Ray Midpoint Parallel Lines Congruent Segments Bisection of a Segment

Solving Line Segments

Pythagoren Theorem

Guided Practice 1. a = 5, b = 12, c = ?

Guided Practice 2. a = 7, c = 25, b = ?

Guided Practice 3. b = 15, c = 17, a = ?

Guided Practice 4. a = 9, b = 12, c = ?

Using Pythagorean Theorem to Find measurement

Review of Angle Vocabulary Angle – Vertex, Side, Names Acute Angle Obtuse Angle Right Angle Perpendicular Lines Complementary Lines Supplementary Lines Vertical Angles Adjacent Angles Linear Pair

Straight Angles Definition: (Put in Vocab) A straight angle is an angle whose measure is 180

Interior Points of Adjacent Angles Remember, adjacent angles have a common side and vertex but NO COMMON INTERIOR POINTS

Congruent Angles If two angles have equal measures, then they are congruent angles – m  A = m  B ⇔  A ≅  B m  A = 40 m  B = 40 A B

Angle Bisector Definition: (Put in Vocab) An angle bisector is a ray that divides an angle into two congruent angles.

Angle Addition Postulate R S O T m  ROS + m  SOT = m  ROT

Example 1 2x+12 x A B C D Find x, m  ADB and m  BDC

Example 2 6y-12 L M N O OM bisects  LON 108

Example 1 BA  BC 2x -24

Example 2 AB  BC m  ABD = 7x + 2 m  DBC = 4x Find x, m  ABD, and m  DBC.

Perpendicular Bisector What is a segment bisector? A segment bisector is a line, segment, ray or plane that intersects a segment at its midpoint Using this definition, what do you think a perpendicular bisector is? Definition: The Perpendicular Bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint

Vertical Angle Theorem If two angles are vertical angles, then they are congruent  1 ≅  3 and  2≅  4

Example 1 (x – 10)  125 

Example 2 6x x + 21

Reflection Definition: A flip across a line. Real Life Examples?

Rotation Definition: A spin or turn about a point. Real Life Examples?

Translation Definition: A slide or glide. Real Life Examples?

Example 1 A(3,2) B(7,2) C(6,6) (x,y) -> (x+2, y – 3)

Example 2 M(-6,1) N(-6,4) O(0,3) P(- 1, 1) (x,y) -> (-x, y)

Example 3 D(5,5) E(4,2) F(1,2) (x,y) -> (-y, x)

Example 5 J(2,3) K(-1,5) L(-2,-1) M(4, -2) (x,y) -> (3x, 3y)