Rotations
Reflections
Symmetry
Translations
Potpourri
100
Find the image of the point under a 90 degree counterclockwise rotation about the origin for X(5,1)
X'(-1,5)
100
What is point A(-3,2) and B(0,2) reflected across the Y-axis?
A'(3,2) B'(0,2)
100
Does every figure have a 180 degree rotation?
No.
100
Consider the translation AB from A(2,1) old to B(3,4) new. In words, what happened with this translation?
Shifted right 1, up 3
100
How many reflections does a rectangle have?
2
200
Find the image of each point under a 90 degree clockwise rotation about the origin for M(-4,-5)
M'(-5,4)
200
What is J(1,2) and K(-2,-1) reflected across x-axis?
J'(1,-2) And K'(-2,1)
200
Does a triangular pyramid have a plane symmetry, symmetry about an axis, or neither?
Neither
200
Given the point (a,b), write the rule for a shift of 12 units right and four units up.
(a,b) ----------> (a+12, b+4)
200
Find the pre-image of each point if the image after a 180 rotation is given for point E'(6,-3)
E (-6,3)
300
Find the image of each point under a 180 rotation about the origin for Z(0,4)
Z'(0,-4)
300
What is M(-4,-1) and N(-1,-1) reflected across y=x?
M'(-1,-4) and N'(-1,-1)
300
How many lines of symmetry does a square have?
4
300
For a pre-image with points A(-4,-4), B(-2,-3), C(1-,3), after a translation that shifts the unit 5 left and up 3, what are the points of the new image?
A'(-9,-1), B'(-3,0), C'(-4,6)
300
What is the point (-10,-10) reflected across y=-x?
(10,10)
400
Find the pre-image of each point if the image after a 90 degree clockwise rotation is given for A'(-4,7)
A(-7,-4)
400
What is point (5,-3) reflected across y=-x?
(3,-5)
400
Does a square have a rotational symmetry? If so, give the angle of rotational symmetry and the order of the symmetry.
Yes, the angle is 90 degrees and the order is 4.
400
Write the equation of a parent quadratic function after it has been shifted three units left, and 4 units down.
f(x)= (x+3)^2 - 4
400
Does a cylinder have a plane symmetry, symmetry about an axis, or neither?
Both
500
Find the pre-image of each point if the image after a 90 degree counterclockwise rotation is given for point C'(-10,9)
C(9,10)
500
What is points (5,-4), (4,4) and (4,-10) reflected across the y-axis?
(-5,-4), (-4,4) and (-4,-10)
500
If the same center of rotation is used, a 90 degree clockwise rotation will produce the same image as a 270 degree counterclockwise rotation. True or False?
True.
500
State the domain and range of the translated function WITHOUT graphing. f(x)= (x-4)^2 + 3
Domain: Negative infinity to infinity Range: (3, infinity) THREE SHOULD BE A HARD BRACKET.
500
Find the image of (-3,-4) under a rotation of 90 degree clockwise followed by a reflection of y=-x
(-3,4)