Reflections
Translations
Rotations
Classification Of Rigid Motions
Symmetry
200
A. A transformation that perseves length and angle mesaure
B. when an image flips through a line, known as the line of reflection.
A. What is a rigid motion?
B. What is a relfection
200
A. A translation is _____?
B. What is the definition of composition of ridgid motions?
A. What is a transfromation that maps all points of a preimage the same distance and direction.
B. What is a transformation with two ridgid motions in which the second ridgid motion is performed on the image of the first one
200
A. What is a rotation?
B. A rotation is made up of how many reflections?
C. How many translations make a rotation?
A. What is a transformation that rotates each point in the preimage about a point called the center of rotation?
B. 3 relfections
C. 2 translations
200
What is a glide reflection?
what is a combination of transformations that contains a reflection and a transformation
200
What are the 3 types of symmentry and what does each one do?
Reflectional symmetry is a symmetry for which a reflection maps the figure onto itself.
A figure has rotational symmetry if its image is mapped onto the preimage after a rotation of less than 360°.
A figure consisting of a repeated pattern has translational symmetry if a translation maps the pattern onto itself.
400
A. When any point is reflected across the x axis its image coordinates are what?
B. When any point is reflected across the y axis its image coordinates are what?
A.What is (x,-y)?
B. What is (-x,y)
400
How many reflections does it take to make a translation?
What is 2?
400
What are the rules for rotating a image 90 degrees, 180 degrees, and 270 degrees?
What is 90: (x,-y)
180: (-x,-y)
270: (-x,y)
400
What transformations are considered a rigid motion?
What transformations are not considered a rigid motion
What is a relfection transfromation rotation and glide relflection
B. dilation
400
How many lines of symmetry does a nonagon have?
What is 11?
600
Reflect segment AB with points A (-1,2) and B (-4,3) over the line y=x
What is the points Ra(1,-2) and Rb(4,-3)
600
Is a transformation a ridigd motion(Perseves length and angle mesaure)?
What is yes?
600
Rotation of 180 degrees of segemnt Gh with g being (2,3) and h being (4,6)
g: (-2,-3)
h: (-4,-6)
600
Is there a ridgid motion that maps triangle abc to triangle a prime b prime c prime? If so what motions should you use?
B. can you do a glide relfection on this image?
What is yes
1. reflection across k(x=1)
2. translation down 5 units
B. yes
600
Does a piano have translational symmentry?
What is yes?
800
What are the coordinates of r y axis=(-5,3)
Hint:r= reflection
what is (5,3)?
800
What is the composition of the transformations written as one transformations?
A. T{(4,5)(-3,-4)}
B.T{(2,3)(6,-11)}
A. what is (x-7,y-9)
B. what is (x+4,y-14)
800
Rotation of 270 degrees of square OBIM(Oh Boy, Its Monday) with O being (4,5) and B being (7,5) and I being (7,1) and M being (4,1)
What is O'(-4,5) B'(-7,5) I'(-7,1) M'(-4,1)
800
What glide reflection was aliped to image jprime kprime lprime
What is relfection over the line y=1 then a Translation of 5 units to the right
800
What type of symmetry does a plane have?
What is relfectional symmentry?
1000
Let A ( -2, 1), B (2, 4) and (4, 2) be the three vertices of a triangle. If this triangle is reflected about the x-axis, what will be the new vertices A' , B' and C'?
Vertices of the reflected triangle are
A'(-2, -1) , B(2, -4) and C'(4, -2)
1000
In learning a new dance, a person slides from position A(8,-1) to B(4,5) and then to position C(3,2). What transformation describes kylke sliding from position a to c?
what is (x-5,y+3)
1000
In a drum line, the first drummer is at the 20 yard line and the sixth drummer is at the 35 yard line. the drumline rotates 270 degrees counterclockwise and then rotates 145 degrees clockwise about the first drummer. Where does the sixth drummer stand after the rotation? Describe the change in position as a composition of rotations.
What is the 35 yard line
1000
Is it correct to say that the composition of a translation followed by a reflection is a glide reflection?
Yes
1000
How many lines of symmentry are on this figure?
What is 2?