Notes Over 9 - 10 Rotations A _______________is a change of position or size of a figure. transformation turn rotation.

Slides:

Advertisements

Similar presentations

3.1 Symmetry & Coordinate Graphs

Advertisements

Rotations Warm Up Lesson Presentation Lesson Quiz

7.3 Rotations Advanced Geometry.

Rotations Section 9.4.

Rotations Goal Identify rotations and rotational symmetry.

12.6 Rotations and Symmetry Rotation- a transformation in which a figure is turned around a point Center of rotation- the point the figure is rotated around.

11.5 Rotations. Rotations Rotate a Figure 90 about the origin.

1.6 Rotations and Rotational Symmetry

4.4 Transformations with Matrices

10-9 Reflections (page ) Indicators  G7-Identify the line & rotation symmetries of 2-d figures to solve problems. G8-Perform reflections of 2-d.

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

Unit 5: Geometric Transformations.

1 Rotations and Symmetry 13.6 LESSON Family Crests A family crest is a design that symbolizes a family’s heritage. An example of a family crest for a Japanese.

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

Linear Algebra THURSDAY, AUGUST 14. Learning Target I will understand what is meant by turn or rotational symmetry and how each point in a figure is related.

Notes Over Reflections A _______________is a change of position or size of a figure.

PRE-ALGEBRA Warm-Up for Lesson 9-10 When you write a rule to describe a translation, you can choose corresponding (matching) points on a figure and it’s.

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

Objective Identify and draw dilations..

Vocabulary Transformation symmetry line symmetry line of symmetry

Rotation Around a Point. A Rotation is… A rotation is a transformation that turns a figure around a fixed point called the center of rotation. A rotation.

Transparency 9 Click the mouse button or press the Space Bar to display the answers.

GEOMETRY HELP Draw all lines of symmetry for an isosceles trapezoid. Draw an isosceles trapezoid. Then draw any lines that divide the isosceles trapezoid.

Holt McDougal Geometry 9-5 Symmetry Warm Up Identify each transformation. 3. A(3, –4), B(5, 1), C(–4, 0); 180° Rotate ∆ABC with the given vertices.

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.

Holt McDougal Geometry 9-1 Reflections 9-1 Reflections Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt.

12-3 Rotations Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Geometry 4-3 Rotations.

12-3 Rotations Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Rotations Section 11.8.

9.5 & 9.6 – Compositions of Transformations & Symmetry

2.2: Translations.

Sect. 7.1 Rigid Motion in a Plane

Unit 1: Transformations Lesson 3: Rotations

DO NOW W ( , ) X ( , ) Y ( , ) Z ( , ) YES NO YES NO YES NO

Transformations Geometry.

Warm Up 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 2. across.

Compositions of Transformations Symmetry

Homework Monday 5/23: Rotation of Shapes page 1.

4.3 Rotations Goals: Perform Rotations

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.

A movement of a figure in a plane.

A movement of a figure in a plane.

A movement of a figure in a plane.

Lesson 2.4_Rotation of Shapes about an Origin (0,0)

Warm up Rotate P(-4, -4) 180 Rotate Q(-1, -3) 90 CCW

Warm up Rotate P(-4, -4) 180 Rotate Q(-1, -3) 90 CCW

4-4 Geometric Transformations with Matrices

Section 12–5 Geometry PreAP, Revised ©2013

Rotations on the Coordinate Plane

9.4 Perform Rotations Translations

2.4 Symmetry Essential Question: How do you determine whether a figure has line symmetry or rotational symmetry?

Properties of Translations

Rotation: all points in the original figure rotate, or turn, an identical number of degrees around a fixed point.

Lesson 4-4 Dilations Obj: The student will be able to identify and create dilations of plane figures HWK: p all Vocab: 1) dilation 2) center of.

9.3: Rotations.

#4 Explorations Workbook Pg 212 Similar Figures

How can you tell if an object is reflected?

Choose the correct translation from pre-image to image B

Dilations NOT an isometry.

1.2 Rotation Symmetry and Transformations

Objective Identify and draw rotations..

Identify and graph dilations

12.3 Rotations.

Section 4.3 Rotations Student Learning Goal: Students will identify what a rotation is and then graph a rotation of 90, 180 or 270 degrees on a coordinate.

Objective Identify and describe symmetry in geometric figures.

Transformations - Rotations

Rotation Around a Point

Objective Identify and draw dilations..

Presentation transcript:

Notes Over 9 - 10 Rotations A _______________is a change of position or size of a figure. transformation turn rotation

Notes Over 9 - 10 Rotations 1. Find the vertices of the image of rRST after a rotation of 90o about the origin. T’ R R’ S’ S T

Notes Over 9 - 10 Rotations Judging from appearance, tell whether the figure has rotational symmetry. If so, what is the angle of rotation. 2. 3. No Rotational symmetry Yes o 180

Notes Over 9 - 10 Rotations Judging from appearance, tell whether the figure has rotational symmetry. If so, what is the angle of rotation. 4. Yes o 180

Pg 492 9 – 10 #1 – 11, 12 – 28 Each figure below is an image formed by rotating the figure at the right. What is each angle of rotation? 1. 2. 3. o o 180 o 90 270

Pg 492 9 – 10 #1 – 11, 12 – 28 Graph each point. Then rotate it the given number of degrees about the origin. What are the coordinates of the image? 4. A(5, 5); 90o A’ A A’(- 5, 5)

Pg 492 9 – 10 #1 – 11, 12 – 28 Graph each point. Then rotate it the given number of degrees about the origin. What are the coordinates of the image? 5. B(0, - 2); 180o B’(0, 2) B’ B

Pg 492 9 – 10 #1 – 11, 12 – 28 C’(- 2, - 4) 6. C(2, 4); 180o C C’ Graph each point. Then rotate it the given number of degrees about the origin. What are the coordinates of the image? 6. C(2, 4); 180o C C’(- 2, - 4) C’

Pg 492 9 – 10 #1 – 11, 12 – 28 C’(3, - 1) 7. D(- 1, - 3); 90o D’ D Graph each point. Then rotate it the given number of degrees about the origin. What are the coordinates of the image? 7. D(- 1, - 3); 90o C’(3, - 1) D’ D

Pg 492 9 – 10 #1 – 11, 12 – 28 Judging from appearance, tell whether each figure has rotational symmetry. If so, what is the angle of rotation? 9. 8. o 90 o Yes Yes 60

Pg 492 9 – 10 #1 – 11, 12 – 28 Judging from appearance, tell whether each figure has rotational symmetry. If so, what is the angle of rotation? 10. 11. o Yes 60 No

Pg 492 9 – 10 #1 – 11, 12 – 28