Parallel lines and Triangles Intro Vocabulary

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

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.
(7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected.
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.
Proving the Vertical Angles Theorem
Angle Relationships.
Definitions of Key Geometric Terms A quick review of material covered in Math A La Salle Academy, Mrs. Masullo.
Given:
Proving Triangles Congruent
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.
Lesson 2.6 p. 109 Proving Statements about Angles Goal: to begin two-column proofs about congruent angles.
SPECIAL PAIRS OF ANGLES. Congruent Angles: Two angles that have equal measures.
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.
Section 1-5: Exploring Angle Pairs Objectives: Identify special angle pairs & use their relationships to find angle measures.
Identify the Property which supports each Conclusion.
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.
Proving Angle Relationships. Protractor Postulate - Given AB and a number r between 0 and 180, there is exactly one ray with endpoint A, extending on.
Geometry Vocabulary Introduction to Classifying Angles.
Unit 1 Learning Outcomes 1: Describe and Identify the three undefined terms Learning Outcomes 2: Understand Angle Relationships.
Triangle Congruency - CPCTC Mixed Problems. Corresponding Parts of Congruent Triangles are Congruent This rule is used AFTER we have proven two triangles.
Angle Relationships.
Pythagorean Theorem Theorem. a² + b² = c² a b c p. 20.
Any two angles whose sum is 180 degrees. Supplementary Angles.
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.
Proving the Vertical Angles Theorem (5.5.1) May 11th, 2016.
Angle Pair Relationships and Angle Bisectors. If B is between A and C, then + = AC. Segment Addition Postulate AB BC.
Lesson 1-5: Pairs of Angles
2.1/2.2 Angles and Triangles Warm-up (IN)
Geometry Basic Terms Unit 1 Vocabulary.
Angle Relationships Lesson 1.5.
Geometry Honors Bellwork
1-4: Measuring Angles.
Module 14: Lesson 1 Angles Formed by Intersecting Lines
Angles -angle pairs GSE
Good Morning  Please take out your flashcards.
2.8 Notes: Proving Angle Relationships
4.2-Congruence & Triangles
Bisectors in Triangles
Parallel Lines & Angles
Angle Relationships.
Statements About Segments and Angles
The Addition Postulates and some important definitions, Module 1
Lesson 3.1 Parallel Lines and Transversals
Proofs – creating a proof journal.
Lesson 1-5: Pairs of Angles
Adjacent, Vertical, Supplementary, and Complementary Angles
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!
DOWN ACROSS Unit 1 Vocabulary Review
*YOU SHOULD CONSTANTLY BE REVIEWING THIS VOCABULARY AS WE GO!
2.6 Proving Statements about Angles
G-CO.1.1, G-CO.1.2, G-Co.1.4, G-CO.1.5, G-CO.4.12, G-CO.3.9
1.6 Relationships: Perpendicular Lines
Angles and Bisectors.
Congruence and Triangles
Measures and Relationships
Proof Geometry 4-4: Perpendiculars, Right Angles, Congruent Angles
Warm Up Take out your placemat and discuss it with your neighbor.
Unit 2 Cumulative Vocab MVP Honors Math 2.
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.
Lesson 1-5 Pairs of Angles.
Vertical Angles, Linear Pairs, Exterior Angles
G3: Angles.
Presentation transcript:

Parallel lines and Triangles Intro Vocabulary Unit 7 Parallel lines and Triangles Intro Vocabulary

Segment -part of a line cut off by two points Notation:

Line - connected points that extend infinitely in two directions Notation:

Angle -space formed between two rays that meet at a common endpoint Notation:

Congruent - figures of both the same size and same shape Symbol:

-Segments which have equal lengths Notation: Congruent Segments -Segments which have equal lengths Notation:

-point that divides a segment into two congruent segments Midpoint -point that divides a segment into two congruent segments

-Line (or part of a line) that intersects the segment at its midpoint Segment Bisector -Line (or part of a line) that intersects the segment at its midpoint

-Lines that intersect to form a right angle Perpendicular Lines -Lines that intersect to form a right angle Symbol:___________

Perpendicular Bisector -Line that is perpendicular to a segment at its midpoint

-Angles which have equal measures Congruent Angles -Angles which have equal measures

-Ray that divides an angle into two congruent angles Angle Bisector: -Ray that divides an angle into two congruent angles

Complementary Angles: -set of angles whose measures sum to 90°

-set of angles whose measures sum to 180° (make a straight line) Supplementary Angles -set of angles whose measures sum to 180° (make a straight line)

Linear Pair -Two adjacent angles whose non-common sides are opposite rays * Postulate: Linear Pairs are supplementary

Vertical Angles -Opposite (non-adjacent) angles formed by two intersecting lines *Theorem: All vertical angles are congruent

Right Angles -Angle whose measure equals 90° *Theorem all right angles are congruent

-Triangle that contains a right angle Right Triangle -Triangle that contains a right angle

Reflexive Property of Congruence -A geometric figure is congruent to itself

Transitive Property of Congruence -If two “things” are equal to the same amount, then the two “things” are equal to each other Ex. Let a = 2 and b = 2. We know a = b by the Transitive Property of Congruence (both equal 2)