relflections
rotations
translations
random
100
Reflect the points A(3,2) B(7,2) C(3,5) across the x-axis.
A(3,2) ---> A'(3,-2)
B(7,2) ---> B'(7,-2)
C(3,5) ---> C'(3,-5)
100
Points A(5,3) B(2,6) and C(7,1) form a triangle. If the triangle is rotated 180 degrees counterclockwise about the origin, what are the new coordinates of points A, B, and C?
A(5,3)--->A'(-5,-3)
B(2,6)--->B'(-2,-6)
C(7,1)--->C'(-7,-1)
100
what is the translations?
A' (x+6,y+2)
100
what is a translation
a type of transformation where we take a point, line, or shape and move it up, down, left, or right on a coordinate plane. (slide)
Answer varies
200
Reflect the points A(-2,6) B(-2,2) C(-5,6), D(-5,2) across the y-axis.
A(-2,6) ---> A'(2,6)
B(-2,2) ---> B'(2,2)
C(-5,6) ---> C'(5,6)
D(-5,2) ---> D'(5,2)
200
Identify the angle of rotation.
180∘
200
Do you slide a translation yes or no?
yes
200
What is a dilation?
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
Answer varies
300
what are the coordinates when you reflect over the y-axis?
(-x,y)
300
What is the rule for a 270 degrees counterclockwise rotation?
(y,-x)
300
(x+3,y-4)
300
What is a rotation?
When a point is rotated about an origin. (spin)
Answer varies
400
reflection across x-axis?
(x,-y)
400
If Points (-2,2), (0,-2), (0,0), (-2,0) are rotated 90 degrees counterclockwise about the origin, what are the new coordinates of points D, E, F ,G?
D(-2,2) ---> D'(-2,-2)
E(0,-2) ---> E'(2,0)
F(0,0) ---> F'(0,0)
G(-2,0) ---> G'(0,-2)
400
what is the rule for point A?
(x+2,y-3)
400
what is a reflection
Mirror image of a shape
Answer varies
500
reflection across the line y=x
(y,x)
500
If Points X(6,4), Y(7,2), and Z(1,8) are rotated 270 degrees counterclockwise about the origin, what are the new coordinates of points X, Y, AND Z?
X(6,4) ---> X'(4,-6)
Y(7,2) ---> Y'(2,-7)
Z(1,8) ---> Z'(8,-1)
500
Translate the point A(-5,7) using the rule (x+4, y-4)
A'(-1,3)
500
As a group, act out all 4 transformations.
Translations, Dilations, Rotations, and Reflections