Rules
Rotations
Translations
Reflections
Dilations
Anything Goes...
100
(x,y)→(x+a,y+b)
Translation
100
What direction can you move when rotating?
clockwise or counterclockwise
100
Do translations keep the same orientation or change the orientation of shapes?
Same orientation
100
Two shapes that are reflected are _________ shapes.
(congruent, equivalent)
congruent
100
Dilate A: (5,9) by a scale factor of 2
A' (10, 18)
100
What is point (0,0) called on the coordinate plane?
the origin
200
(x,y)→(-x,y)
Reflection over the y-axis
200
Rotations keeps the sizes and proportional sides the same, but changes the ___________ of shapes.
orientation of shapes
200
Describe the rule ( x , y ) -> ( x+3, y-5)
right 3 units and down 5 units
200
Reflect (-5, -3) over the y-axis
(5,-3)
200
Dilate A: (8,4) by (x,y)→(1/4x,1/4y)
A': (2,1)
200
What is the word for the shape BEFORE a transformation?
Pre-Image
300
(x,y)→(kx,ky)
Dilation
300
Rotate the point (4,-5) 180 degrees clockwise - Rule: (x,y) -> (-x,-y)
(-4,5)
300
Point B (5, -7) is translated using the rule:
(x,y)→(x-8,y)
What is B' ?
B ' (-3 , -7)
300
Reflect A: (2, -5) over the y-axis:
A' :(-2,-5)
300
Determine the scale factor for the following:
k = 2
300
When there is a reflection across the x-axis, all the x-values stay the same?
True or False?
True
400
(x,y)→(-x,-y)
Rotation 180 degrees
400
Describe the following rotation
Rotation 90 degrees counterclockwise
400
Write the coordinate rule:
x,y)→(x-5, y+2)
400
Line A'B' is being reflected over the ___ axis to transform into line A''B''
y-axis
400
Describe the transformation that took place ( state the rule).
R (15,5) --> R' (3,1)
(x,y) -> (1/5x, 1/5y)
400
Triangle ABC has the coordinates A(-8, 10), B(-6, -4), C(-4, 5). If triangle ABC is translated using the rule (x, y) --> (x + 9, y-11), in which quadrant does Triangle A'B'C' lie?
Fourth quadrant
500
(x,y)→(2x,2y) - Transformation type and scale factor
Dilation and the scale factor is TWO (2)
500
Point A ( 3, 6) was rotated 720 degrees clockwise. What is A' ?
( 3, 6)
500
What is x' if x(2,4) after the following transformations:
(x,y)→(x+5, y+5)
X ' ( 7 , 9)
500
**CHALLENGE** Reflecting over the y-axis and then the x-axis is the same thing as __________________. (Hint: a different transformation)
rotating 180 degrees
500
What was the correct scale factor for the following:
A ( 4,10) --> A' (6,15)
k (S.F.) = 1.5
500
The rule below describes a translation of point P.
P(x, y) --> P'(x + m, y - m)
Which of the following best describes the effect of the translation?
A) P is translated to the left and up by m units.
B) P is translated to the left and down by m units.
C) P is translated to the right and up by m units.
D) P is translated to the right and down by m units.
Answer Choice D