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

Slides:

Advertisements

Similar presentations

Whiteboardmaths.com © 2004 All rights reserved

Advertisements

Student Support Services

8.9 Congruent Polygons I can identify congruent figures and use congruence to solve problems.

Regular Polygons. Introduction A Polygon is a many-sided shape. A Regular Polygon is a many-sided shape with all sides and angles the same. An important.

Polygons and Area. Section 10-1  A polygon that is both equilateral and equiangular.

1.6 Rotations and Rotational Symmetry

Classifying Polygons Objective; I can describe a polygon.

9.3 – Perform Reflections.

Choose a category. You will be given the answer. You must give the correct question. Click to begin.

The mathematical study of the properties, measurements, and relationships of points, lines, planes, surfaces, angles, and solids. Geometry.

Rotations EQ: How do you rotate a figure 90, 180 or 270 degrees around a given point?

9.6 Symmetry We are going to complete the tessellation first so get out your triangles.

Unit 5: Geometric Transformations.

Jeopardy Angles and Triangles PolygonsReflections and Symmetry Translations and Rotations Congruency and Similarity

Tessellations! A tessellation or tiling, is a repeating pattern of figures that completely covers a plane without gaps or overlaps. You can create tessellations.

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.

Notes Over Reflections A _______________is a change of position or size of a figure.

Transformations and Tessellations Edited By: K. Stone.

9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and A point is located at.

11.3 Perimeters and Area of Similar Figures

Reflection and Rotation Symmetry Reflection-Symmetric Figures A figure has symmetry if there is an isometry that maps the figure onto itself. If that.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Chapter 9.6 Notes: Identify Symmetry Goal: You will identify line and rotational symmetry of a figure.

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

Tessellations Kaylee Kennedy Phillips Geometry/Physics.

POLYGONS A polygon is a closed plane figure that has 3 or more sides.

Math 10 Geometry Unit Lesson (1) Properties of a Regular Polygon.

Class Opener 1 – 18 – 12: The diagonals of a quadrilateral are perpendicular bisectors of each other. What is the name that best describes the quadrilateral?

Polygons – Angles In Regular Polygons Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all.

Chapter 9.6 Notes: Identify Symmetry

EQ: How do you rotate a figure 90, 180 or 270 degrees around a given point and what is point symmetry? Rotations.

~Adapted from Walch Education Applying Lines of Symmetry.

Transformational Geometry

Section 11-4 Areas of Regular Polygons. Given any regular polygon, you can circumscribe a circle about it.

Polygons and Triangles Chapter 10 Lesson 4 and 5

 Turn in any late work that you would like graded before progress reports.  Take a protractor from the front.  Find the areas of the figures below.

REGULAR SHAPE SIDES Lines of Symmetry

Rotations and Reflections 9-12.G-CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry.

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.

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.

Symmetry LESSON 58DISTRIBUTIVE PROPERTY PAGE 406.

G.5.C Use properties of transformations and their compositions to make connections between mathematics and the real world, such as tessellations.

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

Types of Polygons Polygon- a flat closed figure made of straight line segments Circle the figures that are polygons. Cross out the figures  that are.

M6G1b – Investigate rotational symmetry, including degree of rotation.

Symmetry MATH 124.

Find the coordinates of A(3, 2) reflected in the line y = 1.

Worksheet Key Yes No 8) 7/13 9) 4 10) 1/3

Line Symmetry and Rotational Symmetry

Transformations and Tesselations

Polygons – Angles In Regular Polygons

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

2.4 Symmetry Key concepts: Lines of symmetry Rotational Symmetry

A movement of a figure in a plane.

11.3 Perimeters and Area of Similar Figures

11.3 Perimeters and Area of Similar Figures

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

Properties of Translations

7.7 Perimeters and Area of Similar Figures

Types of quadrilaterals

Solving geometrical problems

Types of Polygons Tuesday, 07 May 2019.

Pearson Unit 2 Topic 8: Transformational Geometry 8-4: Symmetry Pearson Texas Geometry ©2016 Holt Geometry Texas ©2007.

9-5 Symmetry You drew reflections and rotations of figures.

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

Presentation transcript:

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

Examples of lines of symmetry NON-examples of lines of symmetry

Rotational Symmetry If you can rotate (or turn) a figure around a center point by fewer than 360° and the figure appears unchanged, then the figure has rotational symmetry. The point around which you rotate is called the center of rotation. The smallest angle you need to turn is called the angle of rotation.

Rotational Symmetry Examples This figure has rotational symmetry of 72°, and the center of rotation is the center of the figure: Other examples of rotational symmetry:

Hmmmm… How can you find the # of lines of symmetries for any regular polygon? How do you find the angle of rotation of any regular polygon?

Reflectional Symmetry The number of lines of symmetry is equal to the number of sides.

Rotational Symmetry Angle of rotation for regular polygons is: 360 𝑛 where n is the number of sides. 360 5 =72° 360 6 =60° Ex:

What regular polygons have 90° rotational symmetry What regular polygons have 90° rotational symmetry? Explain your reasoning. . squares