M6G1b – Investigate rotational symmetry, including degree of rotation.

Slides:

Advertisements

Similar presentations

Rotational Symmetry.

Advertisements

Rotational Symmetry.

ROTATIONAL SYMMETRY Highlights of Presentaton:

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

Symmetry & Congruence.

INTRODUCTION TO TYPES OF SYMMETRY. SYMMETRY Symmetry - part of a design that is repeated to make a balanced pattern. Artists use symmetry to make designs.

Pre-Algebra 5.8 Symmetry. Warm Up Identify each as a translation, rotation, reflection, or none of these. A. B. reflection rotation C. D. none of the.

Symmetry Two Types: 1. Line Symmetry (can be called reflectional symmetry)– if you can fold a shape and have the edges meet The place where you fold is.

Unit 5: Geometric Transformations.

Describing Rotations.

Line symmetry 1. Line Symmetry (can be called reflectional symmetry)– if you can fold a shape and have the edges meet  The place where you fold is called.

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,

7-8 Symmetry Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

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.

Transformations and Tessellations Edited By: K. Stone.

Rotations and Rotational Symmetry We are learning to…rotate a figure, describe a rotation, and identify rotational symmetries. Wednesday, December 02,

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Symmetry MATH 124 September 25, Reflection symmetry Also called line symmetry Appears in early elementary school The reflection line, or line of.

© T Madas. A line of symmetry is sometimes called a mirror line Line of symmetry A 2D shape has a line of symmetry if the line divides the shape into.

Transparency 6 Click the mouse button or press the Space Bar to display the answers.

Lines of Symmetry A figure has line symmetry, or reflectional symmetry, if there is a reflection for which the figure is its own image.

9.10 Rotations 9.10 Rotations United Streaming Video Dynamic Worksheets.

Eg1. A square We say that a square has… It fits on itself 4 times back.

GEOMETRY UNIT 1 VOCABULARY. CONGRUENT SAME SIZE, SAME SHAPE.

Rotational Symmetry Rotational Symmetry If, when you rotate a shape, it looks exactly the same as it.

Unit 2 Vocabulary. Line of Reflection- A line that is equidistant to each point corresponding point on the pre- image and image Rigid Motion- A transformation.

Warm Up 1.      360 Course Symmetry

Another kind of symmetry? What might we call this kind of symmetry? TOP Centre of rotation Rotational Symmetry.

Rotational Symmetry 3-2A What is rotational symmetry? How do you identify a figure that has rotational symmetry?

Objective: Discover the characteristics of reflectional and rotational symmetry Warm up 1. Is there line or reflectional symmetry on each picture? a.

Geometry 4-3 Rotations.

Translation Symmetry (Sliding).

M6G1a – Determine and use lines of symmetry.

Find the coordinates of A(3, 2) reflected across the x-axis.

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

5-8 Symmetry Warm Up Problem of the Day Lesson Presentation

To rotate a figure: Draw a segment connecting a vertex (we will call

Transformations Geometry.

Symmetry MATH 124.

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.

WARM UP Is a handout today – Glue the handout in your Learning Log/ Composition books.

Line Symmetry and Rotational Symmetry

ROTATIONS (TURN OR SPIN)

Triangle ABC has vertices A(1, 3), B(–2, –1) and C(3, –2)

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.

order 4 Eg1. A square It fits on itself 4 times

2.4 Symmetry Key concepts: Lines of symmetry Rotational Symmetry

A movement of a figure in a plane.

Symmetry and three-dimensional geometry

Find the coordinates of A(3, 2) reflected across the x-axis.

Section 12–5 Geometry PreAP, Revised ©2013

Rotational Symmetry.

Symmetry Objective: Today, we will identify types of

DRILL What would be the new point formed when you reflect the point (-2, 8) over the origin? If you translate the point (-1, -4) using the vector.

WARM-UP 8 in. Perimeter = _____ 7 in. Area = _____ 12 in. 4 cm

9.5 : Symmetry I can identify line and rotational symmetries in two‐dimensional figures. I can identify plane and axis symmetries in three‐dimensional.

What would be the new point formed when you reflect the point (-2, 8) over the origin? If you translate the point (-1, -4) using the vector.

DRILL What would be the new point formed when you reflect the point (-3, 5) over the origin? If you translate the point (-1, -4) using the vector.

Presentation & Practice

1.2 Rotation Symmetry and Transformations

12-5 Symmetry Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Transformations - Rotations

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

Presentation transcript:

M6G1b – Investigate rotational symmetry, including degree of rotation.

Vocabulary 1) Rotate – to turn a figure around a fixed point 2) Point of rotation - the point around which a figure is rotated (a.k.a. the center of rotation) 3) Rotational Symmetry – when a figure fits exactly on top of itself after a rotation of 180° or less 4) Angle of rotation – the smallest angle a figure can be rotated to look exactly the same

A square has rotational symmetry. The smallest angle a figure can be rotated and still look the same is called the angle of rotation. What is the angle of rotation of a square? 90°

Does a rectangle have rotational symmetry? What is the degree of rotation? 180°

Does each figure have rotational symmetry? 360 ÷ 4 = 90 360 ÷ 3 = 120 360 ÷ 6 = 60 To find the degree of rotation mathematically, divide ______ by the number of times the pattern _________ 360° repeats.

Do these figures have rotational symmetry? NO Yes - 90° Yes - 45° NO Yes - 180° Yes - 72°

Rotational Symmetry in the Alphabet Which letters have rotational symmetry? For those with rotational symmetry, what is the degree of rotation? A B C D E F G H I J 180° K L 180° M N 180° O P 180° Q R S T U V W X Y Z 180° 180° 180°

Rotational Symmetry all around us Which road signs have rotational symmetry?

Rotational Symmetry all around us 120° 180° 180°

Rotational Symmetry all around us 90° 120° 180°

Rotational Symmetry all around us 120° 180°