The segment defined by a preimage point and its image reflected over a line forms this angle with the line of reflection.
What is a right angle (90 degrees)
100
This is the fixed point about which a figure is rotated.
What is the center of rotation
100
This is a quantity that has both direction and magnitude. Represented by an arrow drawn between two points.
What is a vector
100
This is a transformation that consists of 2 or more transformations performed one after the other.
What is a composition
100
This property is preserved under all isometries, but is NOT preserved under dilations.
What is Distance ?
200
These four properties are preserved under reflections and all isometries.
What are angle measure, betweenness, collinearity, and distance? (ABCD)
200
The composition of reflections over two intersecting lines creates a rotation. This point is the center of rotation.
What is the intersection of the two lines
200
If point P is on (0,0) and point Q is on (5,3), this is the component (ordered pair) form of the vector with initial point P and terminal point Q.
What is <5,3>
200
the first translation maps J to J' and the second maps J' to J". Find the translation that maps J to J".
Translation 1: (x, y) --> (x+7, y-2)
Translation 2: (x, y) --> (x-1, y+3)
Translation: (x, y) --> (____? , _____?)
(x, y) --> (x+6, y+1)
200
This is the image of the point (3,-2) under a size change with magnitude 4.
What is (12, -8) ?
300
This is the image of (2, 4) reflected over the line y = 2
What is (2, 0) ?
300
These are the coordinates of A' B' and C' when triangle ABC is rotated 180 degrees clockwise about the origin.
A = (-1,1), B = (2,4), and C = (2, -5).
What are:
A' = (1, -1)
B' = (-2, -4)
C' = (-2, 5)
300
Point A is located at (-2, 1)
Point B is located at (10, 13)
This vector translation maps A to B.
What is <12, 12> ?
Alternatively, what is T(x+12, y+12) ?
300
These are the coordinates of P'', Q'', and R'' after the following composition:
P(5, 1), Q(3, 4), R(0, 1)
Translation: (x, y) --> (x - 2, y - 4)
Reflection: in the y-axis
What are:
P''=(-3,-3)
Q''=(-1,0)
R''=(2,-3)
300
This is the image of the point (15, 25) under a size transformation of magnitude (1/5)
What is (3, 5) ?
400
This is the image of the point (3, 7) reflected over the line x=-1
What is the point (-5, 7) ?
400
Lines m and n intersect at point D. Consider a reflection of triangle ABC over line m followed by a reflection over line n. Suppose the magnitude of rotation about D is 162°. _____ is the measure of the acute angle between lines m and n.
What is 81 degrees ?
400
vector PQ = <4,1>
A = (-1, w), A' = (2x + 1, 4)
These are the values of w and x.
What are:
w=3
x=1
400
Describe the transformation determined by composing reflections over line m then line n, given that P and Q are on m, while S and T are on n.
P=(-1,1) Q=(1,5)
S=(8,7) T=(12,5)
What is a rotation of magnitude 180 degrees about the intersection of lines m and n?
400
A dilation with this magnitude is known as an identity transformation, because the preimage is mapped to itself.
What is 1 ?
500
A' is the image of A reflected over the line y=10. A'' is the image of A' reflected over the line x=2. If A is located at (-1,4), this point is the location of A''
What is (5,16) ?
500
These are the images of the points (3,5) and (-2, 7) rotated 90 degrees counter clockwise about the origin.
What are (-5,3) and (-7,-2) ?
500
The vector translation <14, 0> maps point P to P'. This same translation can be produced by composing two reflections over parallel lines. ______ is the distance between the two lines.
what is 7 units
500
The point (-3, -7) is rotated 90 degrees clockwise about the origin, then reflected over the line x=5. These are the coordinates of the new image.
What is (17, 3) ?
500
A rectangle with sides of length 4 and 2 undergoes a size transformation of magnitude 3. This is the new area of the rectangle.