Symmetry
Rigid Transformations
Vocabulary
Linear Equations
100
Which shapes have exactly two lines of reflection symmetry?
yellow, blue
100
Name all rigid transformations.
Rotation, reflection, translation
100
What is the name of a 5 sided shape?
pentagon
100
In the equation y=mx+b, what do the m & b stand for?
m = slope
b = y-intercept
200
How many rotational symmetries does a square have and what are all of the rotational symmetries?
4 - 90 degrees, 180 degrees, 270 degrees, 360 degrees
200
Describe the following transformation:
(x,y)-->(x-6,y+2)
200
What is the name for two points being on the same line?
colinear
200
Given y=1/3x + 4, what is the slope of a line that would intersect at a perpendicular angle?
m = -3
300
A regular polygon has 120o rotation symmetry. How many sides does this shape have? What is the most specific name for this shape?
3 sided equilateral triangle
300
Describe the rigid transformation that maps QRSTU onto Q'R'S'T'U'.
Rotate 90 CCW around the origin.
300
Define decagon
10-sided shape
300
What is the slope of a line that passes through (3,0) and (1,5)?
m =-5/2
400
A figure rotates 9 times and lands on itself each time. How many degrees is it rotating each time? What is the name of the figure?
40o nonagon
400
Describe the transformation to map ABC onto DEF.
Reflection over the y-axis.
400
A pair of lines which intersect at a 90 degree angle.
perpendicular
400
What is the equation of a line that passes through (3,0) and (1,5)?
y=-5/2x-15/2
500
Describe the regular hexagon's line (reflection) and rotation symmetry:
6 lines of reflection symmetry
60o rotation symmetry
500
Will this transformation of ABCD onto PQRS include a reflection? Describe how you know.
Yes, I know because the orientation (name) changes direction. (ABCD is CW, PQRS is CCW)
500
A regular polygon has rotational symmetry of 60o
what is the name of this shape?
hexagon
500
Describe the series of rigid transformations that maps A onto B using the coordinate form.
Variety of answers. One example would be something like:
1.(x,y)-->(x+3, y-3)
2. Rotate 90 degrees CW on (1,-2)
3. Reflect over y=-2