Transformation Test
If (-4,8) was rotated 270 degrees it would turn into
(8,4)
Symbolic form of a translation
(x,y) ➡️ (x+h,y+k)
T(-2,3) (x,y) equals
(x-2,y+3)
In a rotation of 270 degrees (x,y) turns into
(y,-x)
How many degrees does an equilateral triangle have in it?
120 degrees
How many degrees does a square have in it?
90 degrees
Line reflection
A flip over a line
What's a glide reflection
A reflection followed by a translation
Rotation
A turn around a fixed point called the center of rotation
Pre-image
An operation that maps an original figure onto a new one
The figure rotates at a specific...
Angle and direction
What transformation doesn't preserve orientation
Any reflection
A transformation can change the...
Can change the size, position, or shape of a figure
Which figure has an infinite amount of lines of symmetry
Circle
The designed (unless specified) rotation is
Counterclockwise
Y=X or Y=-X is a...
Diagonal reflection
What does D stand for
Dilation
What translation has no isometry?
Dilations
What does line reflection, translations, and rotations all preserve?
Distance, angle measures, parallelism, collinearity, mid-point
Notation for dilation
Dk (x,y) = (kx,ky)
How many sides does a rhombus have?
Four
H represents the
Horizontal shift
After a rotation of 270 degrees, the image of (-3,-6) lies in quadrant
II
After a reflection of the x-axis, the image of (-7,2) lies in quadrant
III
If a figure has a line of symmetry...
It can be mapped into itself by a reflection in a line
If a figure has point symmetry...
It can be mapped onto itself by rotating the figure 180 degrees about a center point
If a figure has rotational symmetry...
It can be mapped onto itself by rotating the figure less than 360 degrees about a center point
What has opposite isometric
Line reflection
What has reverse orientation?
Line reflection
The composition of a line reflection in the y-axis followed by a reflection in the x-axis is equivalent to a single transformation. Which one?
R180 (rotation of 180 degrees)
What does r stand for
Reflection
Which geometric figure has 72 degree rotational symmetry?
Regular pentagram
What figure doesn't have a line of symmetry?
Rhombus
You read notation...
Right to left
What does R stand for
Rotation
Notation for translations
T h,k (x,y) = (x+h,y+k)
If translation T maps point A(-3,1) onto point A'(5,5), what is the translation T?
T8,4
A composition is...
The combination of two transformations
What happens to the coordinates when the line of symmetry is y=x
The coordinates get flipped / switched around
Which transformation do you start with? T(7,-2) • R270
The rotation
Which transformation do you start with? r y-axis • T(-3,5)
The translation
What happens to the coordinates when it's reflected over the x-axis
The y coordinate negates
Translation
To vertically and / or horizontally slide a figure
What does T stand for
Transformation
Isometry
Transformation that preserves distance
Under which isometry is the slope of line segment equal to the slope of its image?
Translation
Which figure always has exactly one line of symmetry
Trapezoid
K represents the
Ventricle shift
What letter has 270 degree rotational symmetry
X
If letter P is rotated 180 degrees, what is the resulting figure
d
Notation for line reflection
r x-axis (x,y) = (x,-y) r y-axis (x,y) = (-x,y) r y=x (x,y) = (y,x) r y=-x (x,y) = (-y,-x)
What is the image of point (1,1) under r x-axis • R90
(-1,-1)
The point (-2,1) is rotated 90 degrees clockwise around the origin, the new image's coordinates are,
(-2,-1)
What happens to (-7,3) after T5,7
(-2,10)
If (2,3) was rotated 90 degrees it would turn into
(-3,2)
What is the image of (-6,2) when reflected in the x-axis?
(-6,-2)
The transformation R90 degrees maps point (5,6) onto the point whose coordinates are
(-6,5)
What happens to (4,7) after R90
(-7,4)
If (7,-6) was rotated 180 degrees it would turn into
(-7,6)
What's the image of the coordinates (1,5) after R90 then T(-2,8)
(-7,9)
What is the image of (9,1) when reflected in the y-axis
(-9,1)
In a rotation of 180 degrees (x,y) turns into
(-x,-y)
In a rotation of 90 degrees (x,y) turns into
(-y,x)
The image of A(-1,3) under the translation T2,1 is
(1,4)
If (2,3) was rotated 270 degrees it would turn into
(3,-2)
If the point (-2,4) is reflected in the line y=x then the image is
(4,-2)
What is the image (4,-7) when reflected in the x-axis
(4,7)
Notation for rotations
R90 (x,y) = (-y,x) R180 (x,y) = (-x,-y) R270 (x,y) = (y,-x)
What happens to the coordinates when it's reflected over the y-axis
The x coordinate negates
