Reflection and Rotation Symmetry

Slides:

Advertisements

Similar presentations

Warm Up Identify each transformation

Advertisements

7.3 Rotations Advanced Geometry.

Transformations Vocabulary.

Rotations California Standards for Geometry

GEOMETRY SLIDESHOW 2:.

Reflections Lesson 6-2 Page 461.

Reflection Symmetry Aka: Line Symmetry.

Honors Geometry Transformations Section 1 Reflections.

Rigid Motion in a Plane Reflection

Pre-Algebra 5.8 Symmetry. Warm Up Identify each as a translation, rotation, reflection, or none of these. A. B. reflection rotation C. D. none of the.

GEOMETRY (HOLT 9-5) K. SANTOS Symmetry. A figure has symmetry if there is a transformation (change) of the figure such that the image coincides with the.

Unit 5: Geometric Transformations.

Rigid Motion in a Plane 7.1.

Geometric Transformations:

12-5 Symmetry Holt Geometry.

Objectives Define and draw lines of symmetry Define and draw dilations.

Reflectional Symmetry Line Symmetry Internal and External.

12.1 – Reflections 12.5 – Symmetry M217 – Geometry.

9.1 Translations -Transformation: a change in the position, shape, or size of a geometric figure -Preimage: the original figure -Image: the resulting figure.

Reflection and Rotation Symmetry Reflection-Symmetric Figures A figure has symmetry if there is an isometry that maps the figure onto itself. If that.

Chapter 12.  For each example, how would I get the first image to look like the second?

9-5 Symmetry Holt McDougal Geometry Holt Geometry.

SYMMETRY GOAL: TO IDENTIFY LINES OF SYMMETRY IN AN OBJECT.

2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image.

Review from Friday The composition of two reflections over parallel lines can be described by a translation vector that is: Perpendicular to the two lines.

9-2 Reflections. Reflection Across a Line Reflection across a line (called the line of reflection) is a transformation that produces an image with a opposite.

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Vocab 1 Vocab 2 Transformations CompositionsMiscellaneous.

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.

Unit 2 Vocabulary. Line of Reflection- A line that is equidistant to each point corresponding point on the preimage and image Rigid Motion- A transformation.

Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.

TransformationsTransformations. transformation One to One Mapping Preimage Point  Image Point A change of position or size of a figure. A  A´

Geometry 12-5 Symmetry. Vocabulary Image – The result of moving all points of a figure according to a transformation Transformation – The rule that assigns.

Unit 5 Vocabulary. Angle The area between two connecting lines measuring less than 180° but greater than 0° The angle is.

What is a rigid transformation?  A transformation that does not change the size or shape of a figure.

Geometry 4-3 Rotations.

9.5 & 9.6 – Compositions of Transformations & Symmetry

Chapter 9 Vocab Review.

Transformations and Symmetry

Reflections Geometry.

Do-Now Find the value of x. A = 20 A = 35 x 4 x – 2 2x 3x A =

Transformations Chapter 4.

Compositions of Transformations Symmetry

Symmetry 9-5 Warm Up Lesson Presentation Lesson Quiz

Y. Davis Geometry Notes Chapter 9.

9.1 Translations -Transformation: a change in the position, shape, or size of a geometric figure -Preimage: the original figure -Image: the resulting figure.

Learning Objective We will determine1 if the given figure has line of Symmetry and Angle of rotation. What are we going to do? What is determine means?_____.

7.1 Rigid Motion in a Plane OBJECTIVES:

12-1 Reflections Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Symmetry Objective: Today, we will identify types of

Translations 1 Nomenclature 2 Translations 3 Practice Problems.

Drill: Monday, 9/28 Find the coordinates of the image of ∆ABC with vertices A(3, 4), B(–1, 4), and C(5, –2), after each reflection. 1. across the x-axis.

DRILL What would be the new point formed when you reflect the point (-2, 8) over the origin? If you translate the point (-1, -4) using the vector.

12-5 Symmetry Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Point An exact position or location in a given plane.

Invariance Under Transformations

What would be the new point formed when you reflect the point (-2, 8) over the origin? If you translate the point (-1, -4) using the vector.

9.6 Identify Symmetry Mrs. vazquez Geometry.

12-5 Symmetry Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

12-5 Symmetry Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Presentation & Practice

Transformations Honors Geometry.

Goal: The learner will reflect a figure in any given line.

Honors Geometry Transformations Section 1 Reflections

12-5 Symmetry Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Symmetry Objective: To identify reflectional (line), rotational, and point symmetry using reflections and rotations.

Transformations - Rotations

Presentation transcript:

Reflection and Rotation Symmetry Mr. Belanger Geometry – 9.4

Reflection-Symmetric Figures A figure has symmetry if there is an isometry that maps the figure onto itself. If that isometry is a reflection, then the figure has reflection symmetry.

Activity 1: Lines of symmetry can cut through shapes that have reflection symmetry Draw in lines of symmetry for each: A C G none

Segment Theorem: Figures with reflection symmetry have their pre-images and images equal distances from the reflection mirror. 5 5 in 6 in 6 10 10 in

Circle Symmetry: Infinite! How many lines of symmetry does a circle have?? Infinite!

Symmetric Figures Theorem: Any symmetric figure is congruent to its image

Rotation Symmetry: A figure has rotational symmetry if it’s congruent after a rotation of 180 degrees or less (greater than zero). Find the degrees of roation by dividing 360 by number of points. 360/3 = 120

Point Symmetry 360/4 = 90 two rotation make 180 A figure also has point symmetry if it can be rotated 180 degrees. 360/4 = 90 two rotation make 180

Examples: Name the type(s) of symmetry each figure has. reflection Rotation of 120 reflection Rotation and point reflection