9-3 Rotations.

Slides:



Advertisements
Similar presentations
Do Now:.
Advertisements

Transformations Vocabulary.
Chapter 9.1 Common Core G.CO.2, G.CO.4, & G.CO.6 – Represent transformations in the plane…describe transformations as functions that take points in the.
By D. Fisher Geometric Transformations. Learning Targets I can draw transformations of reflections, rotations, translations and combinations of these.
Transformations on the Coordinate Plane
Geometry My great concern is not whether you have failed, but whether you are content with your failure. Abraham Lincoln Today:  Vocab Check Up  9.1/9.3.
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.
Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.
Lesson 10-5: Transformations 1 Lesson 9 Transformations G.CO2, Represent transformation in plane describe as a function that take points in the plane as.
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.
TRANSFORMATIONS SPI SPI TYPES OF TRANSFORMATIONS Reflections – The flip of a figure over a line to produce a mirror image. Reflections.
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.
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.
TRANSFORMATIONS Objective:  To identify isometries  To find reflection images of figures.
1.2: Transformations CCSS
Geometry Rotations. 2/14/2016 Goals Identify rotations in the plane. Apply rotation formulas to figures on the coordinate plane.
Number of Instructional Days: 13.  Standards: Congruence G-CO  Experiment with transformations in the plane  G-CO.2Represent transformations in the.
Unit 5 – Transformations in the Plane Unit 6 – Connecting Algebra with Geometry.
4-7 Congruence Transformations. A transformation is an operation that maps an original geometric figure, the preimage, onto anew figure called the image.
Activation—Unit 5 Day 1 August 5 th, 2013 Draw a coordinate plane and answer the following: 1. What are the new coordinates if (2,2) moves right 3 units?
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 ___________.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–2) CCSS Then/Now New Vocabulary Key Concept: Rotation Example 1:Draw a Rotation Key Concept:
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.
What is a rigid transformation?  A transformation that does not change the size or shape of a figure.
Geometry Rotations.
Geometry 4-3 Rotations.
Splash Screen.
Unit 1: Transformations Lesson 3: Rotations
Mathematical Practices 2 Reason abstractly and quantitatively.
Translations 9.2 Content Standards
9.3 Rotations Then: You identified rotations and verified them as congruence transformations. Now: You will draw rotations in the coordinate plane.
Y. Davis Geometry Notes Chapter 9.
Transformations Sections
Section 9-1 Reflections.
A circular dial with the digits 0 through 9 evenly spaced around its edge can be rotated clockwise 36°. How many times would you have to perform this.
EOCT Review Unit 5 – Transformations in the Plane
Reflections & Rotations
9.1 Translations -Transformation: a change in the position, shape, or size of a geometric figure -Preimage: the original figure -Image: the resulting figure.
A movement of a figure in a plane.
A movement of a figure in a plane.
A movement of a figure in a plane.
EOCT Review Unit 5 – Transformations in the Plane
True or False: A transformation is an operation that maps a an image onto a pre-image. Problem of the Day.
Unit 1: Transformations Day 3: Rotations Standard
Five-Minute Check (over Lesson 9–1) CCSS Then/Now New Vocabulary
Translations, Reflections, & Rotations
Transformations Day 1 Notes Slideshow.
Rotations on the Coordinate Plane
Geometry PreAP, Revised ©2013 1–7 and 12–1: Transformations
True or False: Given A(-4, 8), the image after a translation of (x – 7, y + 6) is A’(-11, 14). Problem of the Day.
TRANSFORMATIONS Translations Reflections Rotations
EOCT Review Unit 5 – Transformations in the Plane
EOCT Review Unit 5 – Transformations in the Plane
Translations, Reflections, & Rotations
Transformations Lesson 13.1.
Essential Question: What can I add to the words slide, flip and turn to more precisely define the rigid-motion transformations – translation, reflection.
Congruence Transformations
Module 2 Review
Translations, Reflections, & Rotations
Five-Minute Check (over Lesson 3–2) Mathematical Practices Then/Now
Objective Identify and draw rotations..
Homework Due Tomorrow.
Maintenance Sheet 24 due Friday
Transformations Project
Transformations - Rotations
Five-Minute Check (over Lesson 3–1) Mathematical Practices Then/Now
Pages Draw a Point at the center of dilation (Point P).
Presentation transcript:

9-3 Rotations

G-CO4—Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments G-CO5—Given a geometric figure and a rotation, reflection or translation, draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another. Reason abstractly and quantitatively. G-AL5—Use appropriate tools strategically.

Draw rotations Draw rotations in the coordinate plane.

Rotation A transformation that acts like a turn about a fixed point. If the point is the center of rotation, then the image and preimage are the same point. If the point is not the center of rotation, then the image and preimage are the same distance from the center of rotation and the angle of rotation formed by the preimage, center of rotation, and image points is x.

Counter Clockwise Rotations

Page 643 11-20, 24-27, 39-48(x3) omit 45