Dilations
Daily Quadruple!!!!
A(1,1), B(1,3), C(3,1); k-factor is 3
A'(3, 3), B'(3, 9), C'(9, 3)?
Horizontal axis direction
Left to Right or Right to Left
Translate: (1, 3) one unit to the left (x-1)
(0, 3)
The change in the sequence 1, 2, 3, 4, 5...
The change is increasing by 1
Daily Double!!!!!!!!!!!!!!!!
Name the 3 transformations we have learned so far.
The 3 transformations you have learned so far are translations, reflections, and dilations
Daily Double!!!!!!!!!!!!!!!!
What is the k-factor used?
A(-4,-2), B(-1,4), C(12, 8);
A'(-1,-0.5), B'(-0.5, 1), C'(3,2)
The k-factor used is k=1/4 or 0.25
Daily Double!!!!!!!!!
Y-axis runs in which directions?
up and down
What is the ordered pair for the point of origin?
The ordered pair for the point of origin is (0,0)
The pre-image of point A is (2, 6). What is the image of point A after a translation of x - 3, and y + 2 and then a reflection over the y - axis?
A'' ( 1, 8)
The commons description of Dilations.
Dilations make figures larger or smaller
What is the k-factor for an enlargement?
What is the k-factor for a reduction?
The k-factor for an enlargement is K>1
The k-factor for a reduction is K< 1
Daily Double!!!!!!!!!!!!!!!!
The location of (-3, 2) if it is reflected over the horizontal axis
The location after a horizontal reflection will be at
(-3, -2)
Name the translation:
(x+2, y - 6)
The translation is 2 right and 6 down
Daily Double!!!!!!!!!!!!!!!!
The change in the sequence 3, 0, -3, -6, -9...
What is -3?
The commons description of Reflections.
What is "flip?"
Name the types of Dilations
The two types of Dilations are
enlargement and reduction
What are reflections key words?
The reflection key words are FLIP and MIRROR IMAGE
Daily Double!!!!!!!!!!!!!!!!
Translate: (0, -2)--right 7
The prime coordinate will be (7, -2)?
Which transformations keep shapes congruent? Name all that apply.
[Translation, Dilation, Reflection]
Translations & Reflections
What is the common description of Translations?
Translations SLIDES a figure into a different part of the coordinate plane
Dilate using k-factor 0.5
M(3, -12) A(2, 8) T(4, 1) H(-10, -2)
After applying a k-factor of 0.5 the coordinates are: M(1.5, -6) A(1, 4) T(2, 0.5) H(-5, -1)
Find the image of (-2, 3) reflected over the line x = 1
(4, 3)
Name the Translation: (x - 1, y - 5)
What is 1 left, 5 down?
Which transformation changes congruency?
Dilation
The points on a triangle are A ( 4, 5) ; B ( 4, -5) ; C (8, 3). What is the image of the points after a Translation of x - 6 and y - 3?
A' ( -2, 2) B' (-2, -8) C' (2, 0)