Shape Shifters!
This term describes a transformation that preserves the size and shape of a figure.
Rigid Transformation
What does the notation T<-3,2> represent?
Translation 3 units left and 2 units up.
What line of reflection is represented by Rx-axis
What does the notation R(90°,O) Z represent?
Rotate Z 90 degrees counterclockwise about the origin.
How many lines of symmetry does a regular hexagon have?
Six
True or False: Rotations, translations, and reflections are always rigid transformations.
True
If point A(1,1) is translated by T<-2,4>, what are its new coordinates?
What is (-1,5)?
If point A(2,3) is reflected over the y-axis, what are its new coordinates?
A' (-2,3)
If point A(2,1) is rotated 90° counterclockwise about the origin, what are its new coordinates?
A'(-1,2)
The letter "S" has what type of Symmetry?
A. Point Symmetry
B. Line Symmetry
C. Rotational Symmetry
D. All of the above.
D. All of the above
Name two properties that stay the same in a Rigid Transformation:
Distance between points, Angle Measure.
Write the Rule that moves point P(3,-4) to P'(0,2).
T<,>?
T<-3,6>
Describe the reflection rule that maps point P(5,-2) to P'(-2,5).
Ry=x
Write the Rule to Rotate triangle QRS 270 degrees around point P.
r(270, P) QRS
If an object has 30 lines of symmetry, what is the least amount of degrees of rotation to look like the preimage?
360 /30 = 12 degrees
A transformation that maps preimage A to image A' across the x-axis. The x-axis is the __________.
(hint: 2 words, 90 degrees)
Perpendicular Bisector
True or false:
The image of G' is (12,7) and its preimage was G (13,-1) so the rule is T<-1,8>
False!
Triangle ABC has coordinates of A(0,0) B (3,0) C (0,3)
How many points move if we reflect the preimage over the y axis?
What are the coordinates for A'B'C'?
only B moves!
A'(0,0)
B'(-3,0)
C'(0,3)
A(3,5), B(1,7), C(-2,4), D(2,-1)
A'(-5,-3), B'(-7,-1), C'(-4,2), D'(1,-2)
In a regular polygon with 10 sides, how many lines of symmetry are there, and what is the smallest angle of rotational symmetry?
10 lines of symmetry and 36 degrees of rotational symmetry
Triangle ABC has vertices A(0,0), B(2,0), and C(1,2). After a transformation, the new triangle A'B'C' has vertices A'(0,0), B'(0,-2), and C'(-2,-1). Determine whether this transformation is a rotation, translation, or reflection.
State the rule!
R(270,O)
Write a rule for a translation that is equivalent to performing T<2,-3> followed by T<-1,5>.
T<1,2>
Triangle DEF with vertices D(3,6), E(-4,-3), and F(6,1) is reflected to D'(3,-12), E'(-4,3), and F'(6,-7).
What is the rule for this rotation?
R????
Ry=-3
DOUBLE POINTS!
Point J is at (-3,5)
It is Reflected across the X axis then rotated 90 degrees about the origin.
What Quadrant is J'' in?
Quadrant 4
J(-3,5)
Rx-axis= J'(-3,-5)
r(90,O) = J''(-5,3)
Circles have how many degrees of rotational symmetry?
Infinite!