Reflections
L'(-4, 7)
Point J(-6,0) is rotated 90 degrees counter-clockwise. What is the location of Point J'?
J(0,-6)
If a point (3, 6) is translated with a vector of <0, 5> what is the new location of the point?
(3, 11)
When a figure is transformed by a translation, followed by a parallel reflection, it is called a ___________.
glide reflection
How many lines of reflection can be drawn on the number 8 ?
2
Segment BC has points at B(0,0) and C(-5,-5) and is reflected on the x-axis. What are the new points B' and C' of the segment?
B'(0,0)
C'(-5,5)
A segment starts at points H(5,4) and G(-2,-5) and is then rotated 180 degrees. What are the locations of the new points H' and G'?
H(-5,-4) and G(2,5)
If a segment is translated from points A (4,6) and B (3, 5) using a vector of <-4,-5> what are the new point locations of the segment?
A (0, 1)
B (-1, 0)
A translation can be made by reflecting an image over one line, and then over another line, as long as the two lines of reflection are _____________.
parallel
3
A segment starts with its endpoints at E(4,6) and F(7,8) and is reflected so its new points are at E'(6,4) and F'(8,7). What is the line of reflection for the transformation?
line y=x
270 degrees counter-clockwise
(or 90 degrees clockwise)
If a figure is translated but is not on a coordinate plane, there will be an arrow for the vector that shows both _____________ and ____________ for the translation.
direction
A rotation can be made by reflecting an image over one line, and then over another line, as long as the two lines of reflection are _____________.
intersecting
How can you find the point of rotation on a figure?
Draw the diagonals to see where they intersect.
A point T(-3,6) is reflected over the x-axis and then over the y-axis. What are the coordinates of the new point T''?
T''(3,-6)
If points S(4,3) and T(5, 8) are rotated 180 degrees around a point U(2,2) then what are the coordinates of points S' and T'?
S'(0,1) and T'(-1,-4)
A triangle is translated from points X(3,5) and Y(7, 0) and Z(2, 8) to a new location at points X'(1, 10) and Y'(5,5) and Z'(0,13). What is the vector of the translation?
<-2, 5>
True or false: It is possible that if you rotate a figure and then translate the same figure, the two transformations could result in a reflection.
True! (It doesn't always work but it is possible.)
If an image has rotational symmetry with an order of 9, what is the magnitude?
40
If a point R(4,-2) is reflected over the line y=5, what are the coordinates of the new point R'?
(subtract 5 from y, reflect over x, add 5 to y)
Point A(3,0) is rotated 90 degrees around the origin, then rotated 180 degrees around the origin, then rotated 270 degrees around the origin. What is the name and final location of the point? (Be specific)
A'''(-3,0)
A segment began at M(-4,2) and N(3,-3) and was translated to a new location. Then it was translated again using the same vector and ended up at M''(-8,14) and N''(-1, 9). What were the coordinates of M' and N'?
M'(-6,8) and N'(1,3)
(The vector was <-2,6> both times.)
A figure K is reflected in two intersecting lines that form a 50 degree angle. What single transformation maps K onto K''? Be specific.
a rotation of 100 degrees
On a regular hexagon, what are the order and magnitude for its rotational symmetry?
order: 6
magnitude: 60