Symmetry & Dilations
Today you will need:
Grab a warm-up off the wooden desk and get started! :-)
Edit: Scaffold dilations better. Center at origin, coordinate rules with center at origin, center not at origin.
Symmetry & Dilations
Today you will need:
Grab a warm-up off the wooden desk and get started! :-)
Skip today's warm-up and sign in to DESMOS to work on transformation golf!
Goals:
Warm-up #1
Directions: Solve each proportion. Show all your work.
Warm-up #1
Directions: Using each of the digits 0-6 only once, make two equivalent ratios (also known as a proportion).
Warm-up #2
Directions: Solve each proportion. Show all your work.
Warm-up #2
Directions: Using each of the digits 1-9 only once to make 3 equivalent ratios.
Consider the different shapes shown.
Do you see any symmetry? By reflection or rotation?
How can you determine the angle of rotational symmetry?
Symmetry
A plane figure has reflectional symmetry if you can draw a line so that the figure to one side of the line is a reflection of the figure on the other side of the line.
A plane figure has rotational symmetry if you can rotate the figure more than zero degrees but less than 360 degrees and the resulting figure is the same as the original figure in the original position.
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Less than 10 minutes
Dilations: What do you see/notice/wonder?
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Try it!
Try it!
Try it!
Try it!
Dilations: What if you redraw the axes?!
(3,2)
(6,4)
(5,1)
(5,2)
Can you find the k-value?
Try it!
Try it!
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Resources
Day 1
Mod 3 Standards
G.CO.1 Know precise definitions of ray, angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notations of point, line, distance along a line, and arc length.
G.CO.2 Represent transformations in the plane using, e.g., transparencies and geometric software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not. E.g. translation versus horizontal stretch.
G.CO.3 Identify the symmetries of a figure, which are the rotations and reflections that carry it onto itself. �a. Identify figures that have line symmetry; draw and use lines of symmetry to analyze properties of shapes.�b. Identify figures that have rotational symmetry; determine the angle of rotation, and use rotational symmetry to analyze properties of shapes.
G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using items such as graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
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 figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Composition of Transformations Quizizz
Performance Task:
Check your email, Make a Copy, Share it with Mrs. O!!!
Rigid Motions on a Plane: Icon, Can You?
As the use of technology and social media has increased, so has the use of icons. An icon is a small graphic symbol on a computer display screen that represents a program or function. You most likely could name different programs or functions simply by seeing their icons!
1. Identify icons in the real world that display the given properties. Copy (ctrl+c) and paste (ctrl +v) their pictures in the table below. Try to find at least two icons with each property.
2. Identify icons in the real world that display the given transformations. Copy (ctrl+c) and paste (ctrl +v) their pictures in the table below. Try to find at least two icons with each property.
3. Identify Icons in the real world that contain the given shapes. Copy (ctrl+c) and paste (ctrl +v) their pictures in the table below. Try to find at least two icons with each property.
4. Create your own icon that displays at least two geometric properties. Identify the properties, and describe how the icon demonstrates each one. (Hint: programs that could help include google drawing, word art, paint, etc.) Then copy and paste your icon below!