Translations
Rotations
Reflections
Symmetry
Composition of Transformations
100
State the image of point A(1, 4) after a translation 4 units up and 5 units left? (Include the name of the translated point)
A'(-4, 8)
100
When the question asks you to rotate, but does not specify clockwise or counter-clockwise, which direction do we use by default?
Counter-clockwise
100
True or False: Reflections preserve congruency and orientation.
False - orientation is not preserved under a reflection.
100
What are the three types of symmetry?
Reflectional, point, and Rotational
100
State the image of point A(1, 4) after a translation 2 up and 4 left, then reflected over the x-axis? (Include the name of the translated point)
A'(-3,-6)
200
Translate L(-3, -2) A(0, -1) D(3, -2) one unit right and three units up.
L'(-2, 1) A'(1, 2) D'(4, 1)
200
True or False: Rotating a figure 90 degrees CCW is NOT the same as rotating a figure 270 degrees CW.
False - rotating a figure 90 degrees CCW IS the same as rotating a figure 270 degrees CW.
200
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
200
How many lines of symmetry does the following shape have?
6 lines of symmetry
200
State the image of point A(6, 8) after a reflection across y=x, then rotated 90 degrees? (Include the name of the translated point)
A'(-6,8)
300
Write the following translation using its algebraic representation:
A(-3, -4), B(-1, -5)
A'(3, -4), B'(5, -5)
(x,y) -> (x + 6, y)
300
What is the new image of Z(-4, 0) if you rotate it 270 degrees?
Z'(0, 4)
300
What are the points of the new image D(-1, -4) E(2, -4) F (4, -5) after a reflection over the x-axis?
D'(-1, 4) E'(2, 4) F'(4, 5)
300
How many lines of symmetry does the following shape have?
4 lines of symmetry
300
State the image of point A(-3,5) after a translation 3 down and 2 left, then rotated 180 degrees? (Include the name of the translated point)
A'(5,-2)
400
What is the coordinate point of the pre-image A given that A' is (8, -7) and underwent this translation: (x,y) ->(x - 2, y + 3)
A(10, -10)
400
How many degrees was the figure rotated if the pre image was X(-4, 2) Y(-4, 0) Z(0, 3) and the image is X'(4, -2) Y'(4, 0) Z'(0, -3)?
Rotation of 180 degrees
400
What is the line of reflection if L(1, 4) M(1, 0) N (3, 0) became L'(-1, 4) M'(-1, 0) N'(-3, 0)?
Reflection over the y-axis.
400
What are the angles of rotational symmetry for the following shape?
90, 180, and 270 degrees
400
State the image of point A(1, 4) after a rotation 270 degrees, then reflected across the y-axis, then translated 5 left? (Include the name of the translated point)
A'(-9,-1)
500
What is the new image of A(2, 4) B(3, -6) C(-6, -6) given (x, y) --> (x + 4, y - 2)?
A'(6, 2) B'(7, -8) C'(-2, -8)
500
What is the pre-image of M'(-2, 2) N'(-1, -2) O'(-3, -3) after a rotating 180 degrees?
M(2, -2) N(1, 2) O(3, 3)
500
What is the pre-image of A'(4, 0) B'(5, 1) and C'(4, -4) if it underwent reflection over the x-axis?
A(4, 0) B(5, -1) C(4, 4)
500
What are the angles of rotational symmetry for the following shape?
None
500
TRUE or FALSE: Reflecting across the x-axis, then across the y-axis is the same as rotating 180 degrees.
TRUE!