Moving a figure to another place
What is a transformation?
What is the coordinate point A(6,-2) after the transformation (-y,x)?
(2,6)
Which rotation about its center will carry a decagon onto itself?
A) 10 degrees
B) 120 degrees
C) 252 degrees
C) 252 degrees
Does a trapezoid have rotational symmetry?
No
Rotation of 90 degrees clockwise
(y,-x)
The figure before the transformation
What is a preimage?
the coordinates of the image (-5,-2) after the translation (x+1, y-1)
(-4,-3)
A regular pentagon is rotated about its center what degree of rotation will it map onto itself?
A) 45 degrees
B) 216 degrees
C) 90 degrees
B)216 degrees
The order of rotational symmetry for a square
4
Reflection x-axis
(x,-y)
Flips the preimage over a line
What is reflection?
If B(-8,9) is reflected over y=x what is B'
(9,-8)
Which degree of rotation will not map a square onto itself?
A) 90 degrees
B) 120 degrees
C) 360 degrees
B)120 degrees
The order of rotational symmetry for a rectangle
2
Reflection y-axis
(-x,y)
The combination of two transformations
What is composition of transformations?
Vertices A(2,-9), B(1,4), C(7,-2) is rotated 90 degrees counterclockwise what are the coordinates of the image
A'(9,2) B'(-4,1) C'(2,7)
Which regular polygon has a minimum rotation of 45 degree to carry the polygon onto itself?
A)hexagon
B)octagon
C)pentagon
B)octagon
The total number of lines of symmetry for a regular octagon
8
Rotation CCW 270 degrees
(y,-x)
Turns the preimage about a point
What is rotation?
Vertices A(0,-3), B(8,4), C(7,-2) is rotated 180 degrees what are the coordinates of the image
A'(0,3) B'(-8,-4) C(-7,2)
An equilateral triangle is rotated in a CCW direction about its center. Determine the minimum number of degrees in the rotation such that equilateral triangle maps onto itself?
120 degrees
The total number of lines of symmetry for a trapezoid
1
(-y,-x)