Rotations.

Slides:



Advertisements
Similar presentations
7.3 Rotations Advanced Geometry.
Advertisements

Do Now:.
Rotations Section 9.4.
Translations I can: Vocabulary: Define and identify translations.
2.3 – Perform Rotations.
11.5 Rotations. Rotations Rotate a Figure 90 about the origin.
Warm Up Draw an example of a reflection: Draw an example of a figure that has one or more lines of symmetry: Find the new coordinates of the image after.
2.4: Rotations.
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.
Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.
4.8 – Perform Congruence Transformations
1.2: Transformations G-CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given.
An operation that moves or changes a geometric figure (a preimage) in some way to produce a new figure (an image). Congruence transformations – Changes.
Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.
Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.
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.
Transformations on the Coordinate Plane: Translations and Rotations.
Copyright © Ed2Net Learning Inc.1. 2 G (4, -1) F (-1, 0) A (-5, 5) P (-4, -1) M (0, 5) B (-5, -3) Warm Up.
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.
Transformation: Rotation Unit 4.10 I can perform rotations and identify their transformation notation.
Rotations. Goals Distinguish between a translation, reflection, and rotation. Visualize, and then perform rotations using patty paper. To determine the.
Rotation – A circular movement around a fixed point Rotation.
Rotations on the Coordinate Plane. Horizontal- left and right.
Chapter 9 - Transformations. 90 degree rotation (x 1, y 1 ) 180 degree rotation (x 2, y 2 ) 270 degree rotation (x 3, y 3 )
Section 7.3 Rotations OBJECTIVE:
Algebra 4-2 Transformations on the Coordinate Plane
Geometry Rotations. 2/14/2016 Goals Identify rotations in the plane. Apply rotation formulas to figures on the coordinate plane.
Perform Congruence Transformations. Transformations: when you move or change a geometric figure in some way to produce a new figure. Image is what the.
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.
Symmetry Section 9.6. Line Symmetry  A figure in the plane has line symmetry if the figure can be mapped onto itself by a reflection in a line.  This.
REVIEW OF MAPPING RULES
Unit 5 Transformations Review
Constructions of Basic Transformations
Unit 1: Transformations Lesson 3: Rotations
11.4 Rotations 1/12/17.
9.3 Rotations Then: You identified rotations and verified them as congruence transformations. Now: You will draw rotations in the coordinate plane.
Warm up Reflect the figure ABCD across the line y=x. List the new coordinates of the points A’B’C’D’.
Find the coordinates of A(3, 2) reflected in the line y = 1.
Learning Objective We will determine1 how to use Rotation to draw a preimage and image of a figure on the coordinate plane. What are we going to do? What.
Transformations and Tesselations
Transformations Sections
4.3 Rotations Goals: Perform Rotations
Geometry: Unit 1:Transformations
A movement of a figure in a plane.
A movement of a figure in a plane.
Geometry: Unit 1: Transformations
A movement of a figure in a plane.
A movement of a figure in a plane.
Warm Up Tell whether the shaded figure is a reflection of the non-shaded figure
Rotations Unit 10 Notes.
Section 17.3: Rotations.
Stand Quietly.
Bellringer Work on the Warm Up Sheet NEED: Graphing Sheet Protractor.
Rotations on the Coordinate Plane
Success Starter for 8/23/17 Rotate A(12, -4) 180 degrees.
TRANSFORMATIONS Translations Reflections Rotations
9.3: Rotations.
Properties or Rules of Transformations
Unit 1 Transformations in the Coordinate Plane
When you are on an amusement park ride,
Transformation Unit, Lesson ?
Warm Up 1. A point P has coordinates (1, 4). What are its new coordinates after reflecting point P across the x-axis? [A] (-1, 4) [B] (1, 4) [C] (1, -4)
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.
Unit 1 Transformations in the Coordinate Plane
Transformations.
4.3 Vocabulary Remember…Transformation, Preimage, Image,
Rotations Day 120 Learning Target:
Presentation transcript:

Rotations

Where have you experienced a rotation? What is a rotation? Where have you experienced a rotation?

A rotation A transformation that TURNS all points of a figure around a fixed point called the Center of rotation

Angle of Rotation The angle of rotation tells us the number of degrees through which points rotate around the center of rotation A positive angle of rotation turns the figure counterclockwise, and a negative angle of rotation turns the figure in a clockwise direction. 

Properties of rotations A rotation is a transformation about a point P such that every point and its image are the same distance from P (lie on a circle)and all angles with vertex P formed by a point and its image have the same measure http://www.mathsisfun.com/geometry/rotation.html

Notation RP, θ (ABC) =  A’B’C’ The notation RP, θ (A) = A’ says that the image of point A after a rotation of θ degrees about point P is A’. θ is the Greek symbol THETA and is used to for angle measures. If the point is not specified, it is the origin. Note that reflections are written with a capital R. RP, θ (ABC) =  A’B’C’

Rules for rotations in a coordinate plane around the origin Rotation of 90°: R90°(x,y)  (-y,x) OYX Rotation of 180°: R180° (x,y)  (-x,-y) OXOY Rotation of 270°: R270° (x,y)  (y,-x) YOX

http://www.regentsprep.org/Regents/math/geometry/GT4/PracRot.htm Try it yourself! http://www.shodor.org/interactivate/activities/Transmographer/