Symmetry.

Slides:

Advertisements

Similar presentations

Translations I can: Vocabulary: Define and identify translations.

Advertisements

W arm UP Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

4-3 Warm Up Lesson Presentation Lesson Quiz

Honors Geometry Transformations Section 1 Reflections.

Geopardy Translations Dilations Reflections Transformations RotationsSymmetry Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final.

Geometry Project Geometry Project By – Andreu H..

9.3 – Perform Reflections.

Geometry Ch 12 Review Jeopardy Definitions Name the transformation Transform it!Potpourri Q $200 Q $400 Q $600 Q $800 Q $1000 Q $200 Q $400 Q $600 Q $800.

Rigid Motion in a Plane Reflection

Rotations EQ: How do you rotate a figure 90, 180 or 270 degrees around a given point?

9.6 Symmetry We are going to complete the tessellation first so get out your triangles.

Symmetry and Dilations

Reflection and Rotation Symmetry

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.

Describing Rotations.

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

Reflections. Reflect across the x-axis Change the sign of the y-value.

4.2 Reflections.

Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.

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 9.5 Symmetry.

Translations. Definitions: Transformations: It is a change that occurs that maps or moves a shape in a specific directions onto an image. These are translations,

Chapter 9.6 Notes: Identify Symmetry Goal: You will identify line and rotational symmetry of a figure.

Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.

Chapter 9.6 Notes: Identify Symmetry

Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

Module 6 Mid-Chapter Test Review. Describe the Transformation from the Given Pre-Image to the Given Image 1. Pre-Image: Shape 1 Image: Shape 4 1. Answer:

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

Vocabulary Transformation symmetry line symmetry line of symmetry

Symmetry 12-5 I CAN Identify line symmetry, rotational symmetry, and

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.

EQ: How do you rotate a figure 90, 180 or 270 degrees around a given point and what is point symmetry? Rotations.

Holt McDougal Geometry Compositions of Transformations Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt.

Reflection Question 1. Reflection Question 2 m Reflection Question 3.

Warm up Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

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.

Sub EQ3: How do you describe the reflection of a pre-image? Pre-image (x, y) Over x-axisOver y-axis.

4-7 Congruence Transformations. A transformation is an operation that maps an original geometric figure, the preimage, onto anew figure called the image.

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.

9.3 – Perform Reflections. Reflection: Transformation that uses a line like a mirror to reflect an image Line of Reflection: Mirror line in a reflection.

Test Review Answers: DEFINITIONS (Level 3). If lines k and m are parallel, then a reflection in line k followed by a reflection in line m is a ___________.

16 Using Matrices to Transform Geometric Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Warm up What are my new coordinates after this transformation? (4,6) (-2, 5) (2, 1)  ( x -2, y + 4) Give an example is coordinate notation for the following:

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.

Rotational Symmetry 3-2A What is rotational symmetry? How do you identify a figure that has rotational symmetry?

Geometry 7.1: Transformations GOAL: Learn the three major types of geometric transformations.

Using Properties of Transformations to Show Congruence VOCABULARY.

Warm-Up Triangle ABC has the following vertices A(7, 2), B(1, 2), C(4, 5). 1.Give the coordinates of the image after is has been translated 3 units left.

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

Find the coordinates of A(3, 2) reflected across the x-axis.

Find the coordinates of A(3, 2) reflected across the x-axis.

Line Symmetry and Rotational Symmetry

Warm-Up Triangle RST has vertices R(0,4), S(3,3), and T(1, 1). Choose the graph that correctly displays a translation along – 4, 0, and a rotation of.

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

2.4 Symmetry Key concepts: Lines of symmetry Rotational Symmetry

Unit 7: Transformations

9.5 : Symmetry I can identify line and rotational symmetries in two‐dimensional figures. I can identify plane and axis symmetries in three‐dimensional.

9.6 Identify Symmetry Mrs. vazquez Geometry.

Transformations Lesson 13.1.

Congruence Transformations

DRILL What would be the new point formed when you reflect the point (-3, 5) over the origin? If you translate the point (-1, -4) using the vector.

Transformations Honors Geometry.

9-5 Symmetry You drew reflections and rotations of figures.

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

Chapter 7 Transformations.

Topic 3 - transformations

Presentation transcript:

Symmetry

Warm-Up Reflect ΔABC across the y-axis. A(2, 3) B(0, -1) and C(-2, 3) What can we say about our pre-image and our image?

Vocabulary Line Symmetry – when a figure that is reflected across a line or lines maps onto itself. Rotational Symmetry – when a figure that is rotated a certain degree less than 360 around its center maps onto itself.

Lines of Symmetry How many lines of symmetry does the polygon have? 3

Rotational Symmetry How many lines of symmetry does the shape have? 2

Lines of Symmetry How many lines of symmetry does the shape have? 5

360÷3 = 120 Rotational Symmetry What is the degree of rotational symmetry? 360÷3 = 120

360÷2 = 180 Rotational Symmetry How many lines of symmetry does the shape have? 360÷2 = 180

360÷5 = 72 Rotational Symmetry How many lines of symmetry does the shape have? 360÷5 = 72