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Translations
Rotations
Reflections
Compositions
100
What is the definition of preimage?
The figure before a transformation takes place.
100
In Graph A, translate the triangle by \langle-7,6\rangle .
See graph.
100
Point A has coordinates (-10,15). If A' is the image of A after a rotation 90° clockwise, what are the coordinates of A'?
A'(15,10)
100
What are the coordinates of the image of point G(-4,2) after a reflection over the y-axis?
(4,2)
100
In a composition of transformations, does order matter? Explain.
Yes, order matters. Explanations may vary.
200
What is the transformation shown in the picture?
Reflection over the y-axis
200
Point Z has coordinates (-3,11) . What are the coordinates of Z', the image of Z after a translation 4 units right and 6 units down?
Z'(1,5)
200
What are the coordinates of the line segment AB after a rotation 180° clockwise about the origin if the coordinates of AB are A(-3,4) and B(-6,-1)?
A(3,-4)
B(6,1)
200
In Graph B, reflect the figure over the x-axis.
See Graph B.
200
Point F has coordinates (-12,7). What are the coordinates of the image of F after a reflection over the y-axis followed by a translation left 15 units?
F'(-3,7)
300
What happens to points that are on the axis of symmetry after a reflection?
Nothing. The points do not move.
300
In Graph F, what is the translation vector from Figure 1 to Figure 2?
\langle8,6\rangle
300
In Graph C, rotate the figure 90° counterclockwise.
See Graph C.
300
Triangle KLM has coordinates K(-6,3), L(5,-2), and M(3,4). What are the coordinates of K, L, and M after a reflection over the x-axis?
K(-6,-3)
L(5,2)
M(3,-4)
300
Write a rule (in mapping notation) for a translation 4 units up and 2 units left followed by a translation 3 units right and 2 units up.
(x,y) → (x+1,y+6)
400
Point A is at (-1,5). What are the coordinates of point A after a rotation of 123° centered around point A?
(-1,5)
400
A point is translated 2 units left and 7 units up. If the coordinates of the image are (5,-2) , what are the coordinates of the preimage?
(7,-9)
400
Write a rule (in mapping notation) for a rotation 90° clockwise around the point (1,2) .
(x,y)→(y-1,3-x)
400
In Graph D, reflect the figure over the line y=x .
See Graph D.
400
In Graph E, reflect the figure over the x-axis. Then rotate the figure 180°.
See Graph E.