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Rotate a Figure 90 about the origin
Triangle ABC has vertices A(1,2), B(-1,-1) and C (2,0). If the triangle is rotated 90 clockwise about the origin what would the new coordinates be? xy A12 B C20 y-x A’2 B’1 C’0-2
Rotate a figure 180 about the origin
Triangle ABC has vertices A(-4,-1), B(-2,-5) and C (-2,-1). If the triangle is rotated 180 clockwise about the origin what would the new coordinates be? xy A-4 B-2-5 C-2 -x-y A’41 B’25 C’21
Rotate a figure 270 about the origin
Triangle ABC has vertices A(-2,0), B(-3,5) and C (-1,2). If the triangle is rotated 180 clockwise about the origin what would the new coordinates be? xy A-20 B-35 C2 -yx A’0-2 B’-5-3 C’-2
Rotational Symmetry A figure can be rotated less than 360 degrees about its center so the images matches the original figure
Determine if the star has rotational symmetry. If it does describe the angle of rotation. Yes, because the pattern repeats in 5 even intervals. The angle of rotation 360/5= 72 degrees.
Homework Page 531 (3-6 all and 9-16 all)
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.
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.
Describing Rotations. Rotational Symmetry in Nature.
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.
Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.
Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.
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.
7.3 Rotations Advanced Geometry. ROTATIONS A rotation is a transformation in which a figure is turned about a fixed point. The fixed point is the center.
1.) Graph triangle ABC A (-1, 2), B (-2, 5), and C (3, -1) 2) Reflect ABCD over the y axis and draw A’B’C’ 3) Translate A’B’C’ right 3 and down 7. 4) What.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–2) Then/Now New Vocabulary Example 1:Rotate a Figure about a Point Example 2:Rotate 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.
Do Now:. Rotation: a transformation that turns a figure about a fixed point called the center of rotation. An object and its rotation are the same shape.
Rotations Goal Identify rotations and rotational symmetry.
Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.
4-1 Congruence and transformations. SAT Problem of the day.
EXAMPLE 1 Draw a rotation SOLUTION STEP 1Draw a segment from A to P. Draw a 120 rotation of ABC about P. o.
Reflection Yes No. Reflection Yes No Line Symmetry.
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: Rotations. What is a Rotation? A rotation or turn, is a transformation in which a figure is rotated about a point called the center of rotation.
7-2 Similarity and transformations. Draw and describe similarity transformations in the coordinate plane. Use properties of similarity transformations.
Rotations. Goals Distinguish between a translation, reflection, and rotation. Visualize, and then perform rotations using patty paper. To determine the.
UNIT 2 DAY 3 ROTATIONS MR. KUGLER FRANK H. PETERSON ACADEMIES OF TECHNOLOGY.
1.6 Rotations and Rotational Symmetry Warm Up. Objectives Identify and draw rotations. Identify and describe symmetry in geometric figures. 1.6 Rotations.
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.
Review Please bring a: pencil, eraser, protractor, compass and calculator.
Transformation- a change in position, shape, or size of a figure. Image- the figure you get after a transformation (original point A has an image of A’).
Transformations Translation Reflection Rotation Dilation.
Rotation – A circular movement around a fixed point Rotation.
Matrices for Rotations Sec. 4-8 LEQ: How can you use matrix multiplication to graph figures and their rotation images?
Transparency 9 Click the mouse button or press the Space Bar to display the answers.
Lesson 9.9 Line Reflections and Symmetry. Line of Symmetry Divides the figure in two congruent halves.
9.10 Rotations 9.10 Rotations United Streaming Video Dynamic Worksheets.
OBJECTIVE: To draw and identify rotation images of figures BIG IDEAS:Transformations and Coordinate Geometry ESSENTIAL UNDERSTANDING: Distances, angle.
Rotational Symmetry Students will be able to identify rotational symmetry. Students will be able to predict the results of a rotation and graph rotations.
Warm Up Translate the following coordinates: Translate the following coordinates: (-3, -2)(-2, 2)(0,4) (x + 2, y – 4)(-3, -2)(-2, 2)(0,4) (x + 2, y.
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,
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.
12.1 – Reflections 12.5 – Symmetry M217 – Geometry.
9-3 Rotations You identified rotations and verified them as congruence transformations. Draw rotations. Draw rotations in the coordinate plane.
Properties or Rules of Transformations Equations used to find new locations.
Lesson 11.4 Translations and Reflections. Translation - Each point of a figure is moved in the same distance in the same direction (sometimes called as.
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.
GOAL: TO ROTATE A FIGURE AROUND A CENTRAL POINT TRANSFORMATIONS.
Warm Up 1. Dilations: 2. Similar Figures: A 1.6-m-tall woman stands next to the Eiffel Tower. At this time of day, her shadow is 0.5 m long. At the same.
Aim: What do we remember about transformations? Do Now: Do Now: Circle what changes in each of the following: Translation: LocationSizeOrientation Dilation:
Linear Algebra Problem 3.3 Friday, September 5. Problem 3.2 answers.
Rotational Symmetry 3-2A What is rotational symmetry? How do you identify a figure that has rotational symmetry?
Rotations Section 9.4. Rotations A rotation is a transformation in which a figure is turned about a fixed point called the center of rotation. Rays drawn.
Lesson 10-3 Pages Transformations on the Coordinate Plane Lesson Check 10-2.
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