Chapter 9.2 Reflections GEOM 22.0 Students know the effect of rigid motions on figures in the coordinate plane and space, including reflections.

Slides:



Advertisements
Similar presentations
An isometry is a transformation that does not change the shape or size of a figure. Reflections, translations, and rotations are all isometries. Isometries.
Advertisements

Translations I can: Vocabulary: Define and identify translations.
Today’s Lesson: What: transformations (reflections)... Why: To perform reflections of figures on the coordinate plane. What: transformations (reflections)...
Honors Geometry Transformations Section 1 Reflections.
Reflections. What will we accomplish in today’s lesson? Given a pre-image and its reflected image, determine the line of reflection. Given a pre-image.
A transformation is a change in the position, size, or
Created by Barbara Fugitt Vocabulary Transformations Sketches $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.
Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz
10-9 Reflections (page ) Indicators  G7-Identify the line & rotation symmetries of 2-d figures to solve problems. G8-Perform reflections of 2-d.
9-2 Reflections. Key Concepts: R stands for reflection and the Subscript tells you what to reflect on (ex: R x-axis) The “line of reflection” is what.
Transformation a change of position, shape or size of a figure Three types of transformation A slide called a translation A flip, called a reflection The.
Reflection: an isometry (or rigid motion) in which a figure is flipped giving its image an opposite orientation.
Reflections Section 9.3.
Lesson 11.4 Translations and Reflections
Unit 5 – Linear Functions
Rigid Motion in a Plane Reflection
9.1 Reflections By: The Tortellini's Draga, Kristin, Saahithi.
12-1 Reflections Warm Up Lesson Presentation Lesson Quiz Holt Geometry.
Rigid Motion in a Plane 7.1.
Advanced Algebra II Notes 4.5 Reflections and the Square Root Family
Transformations Day 1: Graphing. Vocabulary Transformations – mapping of a figure on the coordinate plane. 1) Reflection: Mirror image x-axis (x,y) →(x,-y)
Holt Geometry 12-1 Reflections A transformation is a change in the position, size, or shape of a figure. The original figure is called the preimage. The.
4.2 Reflections.
Transformations A rule for moving every point in a figure to a new location.
Do Now   Describe the translations in words (x, y)  (x – 5, y + 3) (x, y)  (x + 2, y - 1) (x, y)  (x + 0, y + 2)
Rigid Motion in a Plane Chapter 9 Section 1.
Coordinate Grids Ms. Cuervo.
10-1(B) and 10-2(D) Translations and Reflections on the Coordinate Plane.
Transformations Translation Reflection Rotation Dilation.
Section 7.3 Rigid Motion in a Plane Rotation. Bell Work 1.Using your notes, Reflect the figure in the y-axis. 2. Write all the coordinates for both the.
Reflections Chapter 3 Section 7. Reflections A reflection – is a transformation that flips an image over a line. o This line is called the line of reflection.
Translations Translations maintain Same Size Same Shape
Holt Geometry 12-1 Reflections 12-1 Reflections Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
Chapter reflections. Objectives Identify and draw reflections.
CONGRUENCE AND TRANSFORMATIONS (GET GRAPH PAPER WHEN YOU ENTER CLASS) SECTION 4.4.
 2.3: Reflections. What is a Reflection?  Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.
9.2 Properties of Reflections
DRILL 1) If A is in between points B and C and AC is 4x + 12 and AB is 3x – 4 and BC is 57 feet how long is AB? 2) Angles A and B are Supplementary if.
Warm Up Week 1. Section 7.2 Day 1 I will identify and use reflections in a plane. Ex 1 Line of Reflection The mirror in the transformation.
Types of Rigid Motion Translation Rotation Reflection Objective - To describe and interpret translations and reflections in the coordinate plane.
The Leaner Twins LeftyRighty Graphing Transformations 2 Reflection - flipping a shape across a line so it faces the opposite direction.
Chapter 5 Notes. 5.6 Reflections ▪ Reflection (flip) – a transformation in which a figure is reflected over a line of reflection (the x and y axes are.
1.7 Motion in the Coordinate Plane Date: _______.
12-1 Reflections Warm Up Lesson Presentation Lesson Quiz Holt Geometry.
Holt McDougal Geometry 9-1 Reflections 9-1 Reflections Holt GeometryHolt McDougal Geometry.
 coordinate plane  x-axis  y-axis  origin  quadrants  ordered pair  x-coordinate  y-coordinate.
Translations Do Now Find the coordinates of each image 1.R x-axis (A) 2.R y-axis (B) 3.R y = 1 (C) 4.R y = –1 (E) 5.R x = 2 (F)
Transformation: Translation and Reflection Objective: To identify and solve problems involving translation, reflection, rotation and dilation Transformation.
Translations, Reflections, and Rotations. Vocabulary Transformation- changes the position or orientation of a figure. Image- the resulting figure after.
Check It Out! Example 1 a.b. Yes, the figures are similar and the image is not turned or flipped. No, the figures are not similar. Tell whether each transformation.
Holt McDougal Geometry 9-1 Reflections 9-1 Reflections Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt.
Holt Geometry 12-1 Reflections 12-1 Reflections Holt Geometry Before you begin, make sure you have your vocabulary and notes handouts.
12-1 Reflections Warm Up Lesson Presentation Exit Slip Holt Geometry.
Reflections.
DRILL If A is in between points B and C and AC is 4x + 12 and AB is 3x – 4 and BC is 57 feet how long is AB? Angles A and B are Supplementary if.
11.3 Reflections 1/11/17.
9.2 Properties of Reflections
Objective Identify and draw reflections..
7.1 Rigid Motion in a Plane OBJECTIVES:
DRILL If A is in between points B and C and AC is 4x + 12 and AB is 3x – 4 and BC is 57 feet how long is AB? Angles A and B are Supplementary if.
                                                                                                                                                                                                                                                               
9.1: Reflections.
TRANSFORMATIONS Translations Reflections Rotations
Tuesday, June 22, Reflections 11.3 Reflections
Reflections Reflections Reflections Reflections Reflections
12-1 Reflections Warm Up Lesson Presentation Lesson Quiz Holt Geometry.
Reflections in Coordinate Plane
9.1 TRANSFORMAIONS.
Objective Identify and draw reflections..
Presentation transcript:

Chapter 9.2 Reflections GEOM 22.0 Students know the effect of rigid motions on figures in the coordinate plane and space, including reflections

Vocabulary Reflection (Flip!!) : is an isometry in which a figure and its image have opposites orientations. Thus, a reflected image in a mirror appears “backward”

Vocabulary Line of Reflection (Mirror line) – the line which the object is flipped about

Example of Line of Reflection and labeling of transformation Line of reflection/Mirror line

Line of Reflection: X-axis X-Axis If the mirror line is the x-axis, just change each (x,y) into (x,-y)

Line of Reflection: Y-axis Y-Axis If the mirror line is the y-axis, just change each (x,y) into (-x,y)

Example #1

Example #2

Example #3

Example #4

Classwork/Homework Pg 480 #1, 3, 5, 8, 30 Workbook Pg 419 all