Vocabulary
Two figures are _____ if one can be obtained from the other by transformations or a dilation.
Vocab words: reduction, center of dilation, dilation, scale factor, similar, enlargement
similar
Reduction or Enlargement?
Scale Factor 2
Enlargement
(multiply by 2)
Dilations and Transformations make the angles _____?
stay the same!
Figures that are dilated (enlarged or reduced) are _________.
congruent, similar, dilation, translated
Similar
What is another name for the "Fall" Season?
Autumn
Transformations that keep the proportions of the original image but are SMALLER in size.
Vocab words: reduction, center of dilation, dilation, scale factor, similar, enlargement
reduction
Reduction or Enlargement?
Scale Factor of 1/3
Reduction
(multiply by 1/3 or it means divide by 3)
What happens to the angles in transformations and dilations?
Stay the same
Are these triangles similar?
A(1,2) B(2,3) C(4,5)
A'(1,9) B'(1,3) C'(4,6)
No, does not have a scale factor
Angles are not the same
During which month are the Fall leaves the most colorful?
October
Where the rays intersect at a point after touching each coordinate of the original shape and the dilated shape.
Vocab words: reduction, center of dilation, dilation, scale factor, similar, enlargement
center of dilation
Reduction or Enlargement?
A(2,3) B(4,5) C(3, 4)
A'(4, 6) B'(8,10) C'(6, 8)
Enlargement
Scale Factor 2
(x,y) changes to (-x, y)
Think y stays the same.
rotation, reflection, translation
Reflection across the y axis
(because y stayed the same, flips over y)
Are these triangles similar?
A(1,2) B(2,3) C(3,4)
A'(2,4) B'(4,6) C'(6,8)
Yes, scale factor of 2
Are pumpkins a vegetable or fruit?
fruit
Transformation that produces an image that is proportional to its preimage only enlarged or reduced
Vocab words: reduction, center of dilation, dilation, scale factor, similar, enlargement
dilation
Give me the scale factor
A(4,2) B(6,4) C(2,6)
A'(2,1) B'(3,2) C'(1,3)
Scale Factor 1/2
(x,y) changes to (-x, -y)
think what happens if both go negative (or opposite)
(reflection, rotation, translation)
rotation 180 degrees
Triangle ABC is Translated left 5 units, up 4 units and dilated 1/3 to make A'B'C'
Is A'B'C' similar to ABC?
yes. Same shape just different transformations took place.
Which state grows the most pumpkins?
(Wisconsin, Alaska, California, Illinois, Iowa)
Illinois
Dilation is the RATIO of the side lengths of the image to the preimage.
Vocab words: reduction, center of dilation, dilation, scale factor, similar, enlargement
scale factor
Give me the new coordinates
A(3,6) B(6,3) C(6,9)
A'? B'? C'?
Scale Factor 1/3
A' (1, 2)
B' (2, 1)
C' (2, 3)
(x,y) changes to (y, -x)
think which is means to switch y and x coordinates around
(reflection, rotation, translation)
Rotation 90 degrees Clockwise
Triangle ABC has angles of 90, 50, and 40 Degrees. It is dilated with a scale factor of 1/4. What are the new angles?
90, 50, 40
They stay the SAME!
Give me the date of the first day of Fall.
September 22nd