Unit 1: Transformations in a Coordinate Plane

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Clouds pattern

Rotation-Turn     Reflection-Flip     Translation-Moves

Math Shorts Episode 4 -  Reflection

Ruled paper

Rotational Symmetry: Order of Rotations: 4 360/4=90 90, 180, 270, 360

Reflectional Symmetry: 4 lines of symmetry

Rotational Symmetry: Order of Rotations: 3 360/3=120 120, 240, 360

Reflectional Symmetry: 4 lines of symmetry

Reflectional Symmetry: 3 lines of symmetry

Reflectional Symmetry: 1 line of symmetry x=-4.5

Rotational Symmetry: Around the point (0,0)/origin @ 60, 120, 180, 240, 300, 360 degrees

Reflectional Symmetry: 6 lines of symmetry x-axis and y-axis

Rotational Symmetry Reflectional Symmetry

Reflectional Symmetry and Rotational Symmetry | Don't Memorise

What do you need in order to perform a reflection?

Grid paper

Rotational Symmetry: Around the point (2,2) @ 180 &amp; 360 degrees

Reflectional Symmetry: 2 lines of symmetry

Rotational Symmetry: Around point (-5,3) @ 90, 180, 270, 360 degrees

Reflectional Symmetry: 4 lines of symmetry x=-5 &amp; y=3

1. rotation 2. translation 3. reflection

transformation that doesn't change size or shape...it just moves locations

Write a rule for the translation of :

Large grid paper

When you reflect an image over perpendicular lines, it creates what type of transformation _________________________

Angle Bisector-a ray splits an angle into two congruent angles

Understand Rotational and Reflectional Symmetry Review Pages 76-86

Narrow ruled paper

complete the table below

What can you conclude about the reflection over line segment  BC.

line of reflection is perpendicular to the sides

It's the space between two rays that meet at a vertex

Math Shorts Episode 3 - Translation

Rigid Motion: Translation

Rigid Motions: Rigid Motions are transformations that change an object's location without altering its shape or size.

There are 3 Rigid motions: Translation , Reflection and Rotation

Reflectional Symmetry: 1 line of symmetry

180 degrees (x,y)---&gt;(-x,-y) A(-4,1)---&gt;A'(4,1) B(-2,3)---&gt;B'(2,-3) C(0,-3)---&gt;C'(0,3)

over the line y=-x ; (x,y) (-y,-x)

2. Write a rule for the translation

(X,Y) (_____,_____)

Rotational Symmetry: Order of Rotations: 5 360/5=72 72, 144, 216, 288, 360

Bright ideas border

Translation-a transformation that slides/moves each point of a figure the same distance in the same direction.

What you need in order to perform a rotation.

direction, angle of rotation, and point of rotation

S is the midpoint of segment RT. RS is 3x+17 and ST is 7x-15. 

x=__________ RS=__________ ST=__________ RT=__________

turn around a point that maps an image back onto itself

it starts at an endpoint and goes toward a line stops on one side and continues forever on the other side

1. Reflection 2. Rotation 3. Translation

it preserves (keep) the distance before and after a transformation

A (1,2)---&gt;A'(-2,1) B (1,8)---&gt;B'(-8,1) C (4,6)---&gt;C'(-6,4) D (4,4)---&gt;D'(-4,4)

Rotation: 90 degrees CCW Translation: (x,y)---&gt;(x-2,y-5)

What is a Regular Polygon? | Don't Memorise

Math Shorts Episode 2 - Rotation

Parallel Lines- lines in a plane that do not intersect

Perpendicular Lines- lines that intersect at ninety degrees

Rotational Symmetry: Around the point (3,2) @ 120, 240, 360 degrees

Reflectional Symmetry: 3 lines of symmetry x=3

points that are equidistant to the center point

one dimensional figure that continues forever on both ends

location where two rays intersect where corners meet

GEOMETRY = GEO + METRON (two Greek words)

Geo means Earth Metron means Measure Geometry means Earth measure This year we are going to measure the things which are on the Earth

A ___________________ is a change in the ______________, _______________, or _____________ of a figure.

pre-image (old) -before figure image (new) - after figure isometry-rotations, translations, reflections: when they move locations...the distance is preserved (kept the same) between the vertices of the shape

Circle-is a set of points that are equidistant from the center

Rotational Symmetry: Order of Rotations: 6 360/6=60 60, 120, 180, 240, 300, 360

Reflectional Symmetry: 6 lines of symmetry

Reflectional Symmetry: 5 lines of symmetry

Angle-a figure formed by two rays intersecting at a common endpoint Vertex- a point where two or more curves, lines, or edges meet

sequence of Transformations

When you reflect an image over parallel lines, it creates what type of transformation _________________________

Rotational Symmetry: Order of Rotations: 2 360/2=180 180 &amp; 360

Rotational Symmetry: Order of Rotations: 2 360/2=180 180 &amp; 360

Name

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