Transformations and Congruence

Slides:



Advertisements
Similar presentations
CCSS Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions.
Advertisements

5.2 Perpendicular and Angle Bisectors
1-1b: The Coordinate Plane - Distance Formula & Pythagorean Theorem
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–2) CCSS Then/Now New Vocabulary Key Concept: Distance Formula (on Number Line) Example 1:Find.
Distance and Midpoints
Geometry Advice from former students: “If you work hard on your homework, it makes test and quizzes much much easier. Slacking is not an option.” Today:
Perpendicular Bisector of a Line To find the equation of the perpendicular bisector of a line segment : 1. Find the midpoint 2. Find the slope of the given.
1.1c: Midpoint ,Segment Congruence, and Segment Addition
1.6 Basic Constructions.
GEOMETRY 3.4 Perpendicular Lines. LEARNING TARGETS  Students should be able to…  Prove and apply theorems about perpendicular lines.
CHAPTER 1: Tools of Geometry
5-2 Perpendicular and Angle bisectors
Locus – Equation of Circle Page 5. Essential Question: What is the difference between a linear equation, quadratic equation, and the equation of a circle?
G.CO.1 Know precise definitions of angle, circle, perpendicular lines, parallel lines, and line segment, based on the undefined notions of point, line,
[1-6] Basic Construction Mr. Joshua Doudt Geometry (H) September 10, 2015 Pg
 TEKS Focus:  (5)(B) Construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector.
Vocabulary Sheets Why??? Do I have to?? Code. Angle [definition] Formed by two rays with the same endpoint [picture or example of term] [symbol]
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–2) CCSS Then/Now New Vocabulary Key Concept: Distance Formula (on Number Line) Example 1:Find.
11-2 Chords and Arcs  Theorems: 11-4, 11-5, 11-6, 11-7, 11-8  Vocabulary: Chord.
M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope GSE: M(G&M)–10–2 Makes.
CCSS Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions.
1.6 Basic Construction 1.7 Midpoint and Distance Objective: Using special geometric tools students can make figures without measurments. Also, students.
Over Lesson 1–2 5-Minute Check 1 What is the value of x and AB if B is between A and C, AB = 3x + 2, BC = 7, and AC = 8x – 1? A.x = 2, AB = 8 B.x = 1,
Activation—Unit 5 Day 1 August 5 th, 2013 Draw a coordinate plane and answer the following: 1. What are the new coordinates if (2,2) moves right 3 units?
BELLRINGER A B C D m ADC = 64 m ADB = 3x - 2 m BDC = 4x + 3 Find m ADB =_________Find m BDC = _________ X Y Z XZ = 57 inches XY = 3x + 9 YZ = 2x - 7 Find.
Unit 1: Transformations in the Coordinate Plane Learning Target: Students can know precise definitions of angle, circle, perpendicular line, parallel line,
10.2 Arcs and Chords Unit IIIC Day 3. Do Now How do we measure distance from a point to a line? The distance from a point to a line is the length of the.
TOPIC 12-2.
Midpoint and Distance Formulas
Day 117 – Unit 5: Transformations in the Coordinate Plane
Chapter 5.1 Segment and Angle Bisectors
Warm up Find the midpoint of segment AB A(0,0) B(6,4)
SECTION 1.4 Exploring Geometry by using Paper Folding
12 Chapter Congruence, and Similarity with Constructions
Lesson: Introduction to Circles - Tangents, Arcs, & Chords
Unit 1.1 Defining Geometry Vocabulary Number of Instructional Days: 8
Distance and Midpoints
2.2.4 Use slope criteria for parallel and perpendicular lines to solve problems on the coordinate plane.
Lines, Angles and Triangles
Lines, Angles and Triangles
Lines, Angles and Triangles
Lines, Angles and Triangles
Quadrilaterals and Coordinates Proof
Lines, Angles and Triangles
CONSTRUCTIONS.
Students will be able to find midpoint of a segment
Measure and classify angles.
Section 11 – 2 Chords & Arcs Objectives:
Identify and model points, lines, and planes.
Reflections & Rotations
Calculate with measures.
Drill Draw a segment so that A and C are the endpoints and B is somewhere between them. If AB is 10 feet and BC is 18 feet, how long is AC? If AB is 2x.
Distance and Midpoints
Find the value of x and BC if B is between C and D, CB = 2x, BD = 4x, and CD = 12. Problem of the Day.
Module 15: Lesson 5 Angle Bisectors of Triangles
Basic Constructions Constructing a congruent segment
Unit 2 – Similarity, Congruence, and Proofs
Find the value of x and BC if B is between C and D, CB = 2x, BD = 4x, and BD = 12. Problem of the Day.
Name the transversal that forms each pair of angles
1.4: Translating Angles and Angle Bisectors
Essential Question: What can I add to the words slide, flip and turn to more precisely define the rigid-motion transformations – translation, reflection.
12 Chapter Congruence, and Similarity with Constructions
Basic Constructions Skill 06.
Unit 1: Transformations in the Coordinate Plane
Warm-UP 3/13/14  Read and Think about the following statistics. Then, answer the questions below: 10% of students in low-income communities who decide.
Five-Minute Check (over Lesson 1–3) Mathematical Practices Then/Now
12.2 Chords & Arcs.
Geometry Unit 1: Foundations
Investigation 9.2 – Chord Properties You need: ruler, pencil, 2 printed circles or your own compass, glue stick In class section, do the following: Write.
Presentation transcript:

Transformations and Congruence Opening routine Midpoint of a segment The endpoint A of a line segment AB is located in (2, 5) and the midpoint M is in (5, 1). Find the coordinates of the endpoint B.

Topic I: Transformations and Congruence

Transformations and Congruence Angle measure and angle bisector Objective: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Essential Question: How is measuring an angle similar to and different from measuring a line segment?

Transformations and Congruence Angle measure and angle bisector Vocabulary

Transformations and Congruence Angle measure and angle bisector Construct a copy of one angle http://www.mathopenref.com/constcopyangle.html

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector Construct an angle bisector http://www.mathopenref.com/constbisectangle.html

Transformations and Congruence Angle measure and angle bisector

Transformations and Congruence Angle measure and angle bisector YOU DO - Independent Practice Worksheet Pages 19 and 20

Transformations and Congruence Angle measure and angle bisector Homework Complete Worksheet Pages 19 and 20

Transformations and Congruence Angle measure and angle bisector Closure Essential Question: How is measuring an angle similar to and different from measuring a line segment?