Map Notation
Graphing
Congruent/Similar
Dilation
Scale Factor
100
What is the map notation for dilation?
(x, y) --> (kx, ky)
100
1) A scale factor less than 1 means what?
2) A scale factor that is greater than 1 means what?
3) A scale factor of 1 means what? Why?
1) reduction
2) enlargement
3) The figure stays the same. Anything times 1 is the number.
100
What does similar mean? What are the same and differences between congruent and similar?
Similar: Figures with the same shape, but not necessarily the same size.
Difference: They both have figures with the same shape, possibly a different location, and angle measures. Congruent says they are exactly the same size, but similar means they have undergone a dilation.
100
What does Dilation mean? Definition.
A transformation that enlarges or reduces a figure.
100
What does scale factor mean? Definition.
The ratio used to enlarge or reduce similar figures.
300
How would you write the map notation for the following dilations?
1) A third of the size
2) Two and a half of the size
3) Triple the size
4) Twice as large
1) (1/3 x, 1/3 y)
2) (2.5x, 2.5y) or as a fraction
3) (3x, 3y)
4) (2x, 2y)
300
Dilation Figure A to Figure B. Is it an enlargement or a reduction. What is it's scale factor?
1) Enlargement
2) Scale Factor: 2
300
Are the two parallelogram's similar? If yes, what is the scale factor? If no, why not?
No, they are not similar. The widths are a ratio of 18/24 which is simplified to be 3/4 and the lengths are a ratio of 24/36 which is simplified to be 4/6. They do not increase proportionally.
300
Triangle ABC has side lengths of 4 ft, 2 ft, and 6 ft. What are side lengths if the dilation is:
1) 3
2) 1/2
3) 9
1) 12 ft, 6 ft, 18 ft
2) 2 ft, 1 ft, 3 ft
3) 36 ft, 18 ft, 54 ft
300
What is the missing side length of x?
x = 15
500
1) What is the scale factor of Figure A to B? Write it in map notation.
2) What would the scale factor be if you reduced it by half? 
1) ( 2x, 2y)
2) (1/2x, 1/2y)
500
Using the graph paper on the board, graph Triangle ABC. Then dilate the preimage by a scale factor of 3 centered at vertice A. Give the image's coordinates and graph dilation.
A (3, 2)
B (4, 3)
C (3, 5)
A' (9, 6)
B' (12, 9)
C' (9, 15)
500
Are the two triangles similar? If yes, what is the scale factor? If no, why not?
Yes. The scale factor is 5. The sides are both increased by 5 which means that the long side has to also increase by the same amount.
500
Rectangle ABCD has vertices A(4, -8), B(4, 20), C (-12, -20), and D (-12, -8). It is dilated by a scale factor of 1/4 about the origin to produce a rectangle A'B'C'D'. What is the perimeter in units of rectangle A'B'C'D' and the new coordinates?
A' (1, -2)
B' (1, -5)
C (-3, -5)
D (-3, -2)
Perimeter: 14
500
Trapezoid ABCD has vertices A (-3, 3), B (2, 3), C (4, -3), and D (-5, -3). It is dilated by a scale factor of 8 with a center of dilation of (0,0). What are the coordinates of the image A'B'C'D'?
A' (-24, 24)
B' (16, 24)
C' (32, -24)
D' (-40, -24)