ROTATIONS Review Mrs. Erickson Rotations Like the steering wheel of a car Fixed point in the center, everything else turns You get the same picture,

Slides:



Advertisements
Similar presentations
7.3 Rotations Advanced Geometry.
Advertisements

Honors Geometry Transformations Section 2 Rotations.
Do Now:.
Rotations Section 9.4.
Rotations Goal Identify rotations and rotational symmetry.
Rotations. Rotate 90  Clockwise about the Origin (Same as 270  Counterclockwise) Change the sign of x and switch the order.
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.
Aim: What do we remember about transformations? Do Now: Do Now: Circle what changes in each of the following: Translation: LocationSizeOrientation Dilation:
LINE REFLECTIONS Review Mrs. Erickson The Coordinate Axes x-axis y-axis Origin: (0,0) (x,y)
Reflections 30 Reflect across y=x (x,y)  (y,x) Reflect across x-axis (x,y)  (x,-y) Reflect across y-axis (x,y)  (-x,y) Reflect across y=x Reflect across.
Unit 5: Geometric Transformations.
Rotations Geometry Unit 7, Lesson 3 Mrs. King. What is a Rotation? Definition: A turn. Example?
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.
Rotations. Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 90° clockwise about the origin and graph.
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
Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.
Transformations To move a figure in the coordinate system to another location or image, by a rule.
Transformations Translation Reflection Rotation Dilation.
9.10 Rotations 9.10 Rotations United Streaming Video Dynamic Worksheets.
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.
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.
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.
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.
Lesson 5 Definition of Rotation and Basic Properties
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.
TRANSFORMATIONS Objective:  To identify isometries  To find reflection images of figures.
Section 7.3 Rotations OBJECTIVE:
Properties of Rotations
Geometry Rotations. 2/14/2016 Goals Identify rotations in the plane. Apply rotation formulas to figures on the coordinate plane.
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.
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.
Matrices for Rotations Sec. 4-8 LEQ: How can you use matrix multiplication to graph figures and their rotation images?
TRIGONOMETRY AND THE UNIT CIRCLE SEC LEQ: How can you use a unit circle to find trigonometric values?
7.6 Rotations & Rotational
Find the coordinates of A(3, 2) reflected across the x-axis.
Objective: Sequences of transformations.
M6G1b – Investigate rotational symmetry, including degree of rotation.
9.3 Rotations Then: You identified rotations and verified them as congruence transformations. Now: You will draw rotations in the coordinate plane.
Rotations Rotations Rotations Rotations Rotations Rotations Rotations
Find the coordinates of A(3, 2) reflected across the x-axis.
Find the coordinates of A(3, 2) reflected in the line y = 1.
ROTATIONS UNIT 1 – sept. 8.
Rotations.
ROTATIONS (TURN OR SPIN)
A movement of a figure in a plane.
7-3 Rotations.
A movement of a figure in a plane.
Find the coordinates of A(3, 2) reflected across the x-axis.
Rotations Unit 10 Notes.
Section 17.3: Rotations.
Bellringer Work on the Warm Up Sheet NEED: Graphing Sheet Protractor.
9.4 Perform Rotations Translations
TRANSFORMATIONS Translations Reflections Rotations
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)
Rotations Advanced Geometry.
Exercise Write the opposite of 7. – 7.
Rotations.
Transformations Maria Garcia.
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.
Warm-Ups A _____________ is a change in a figure’s position or size
Transformations.
Rotations.
Rotations Day 120 Learning Target:
Presentation transcript:

ROTATIONS Review Mrs. Erickson

Rotations Like the steering wheel of a car Fixed point in the center, everything else turns You get the same picture, just rotated

Rotations What is preserved?  distance is preserved  angle measure is preserved  midpoint is preserved  collinearity is preserved Rotations are counterclockwise If the angle is negative, go clockwise Rule: R O,90 (x,y) = (-y,x) or R 90 (x,y)=(-y,x)

Rotations Rotational Symmetry if the figure is its own image (360° in a circle)  Square  Rectangle  Equilateral Triangle  Pentagon

Don’t forget to do your homework S Gudder: “The essence of mathematics is not to make simple things complicated, but to make complicated things simple.”