Dilations and Scale Factors
-10
A graph has a y-intercept at -2.5, and the points on the line are dilated by a scale factor of 4. What is the new y-intercept of Line A'?
Dilation
A transformation that changes the size of an object, but not the shape.
5
A triangle A'B'C' with sides 10, 20, and 15 was the result of a dilation by a scale factor of 2. What was the original side length of side A before the dilation?
Dilations
A type of transformation that changes the size but not the shape of an object
Rotations
A type of transformation that turns a figure around a point by a certain angle.
4
After a dilation a point was mapped as (1, 4) → (4, 16). What is the scale factor?
3
After a dilation a point was mapped as (4, -6) → (12, -18). What is the scale factor?
1
After a dilation, the new image is congruent (same size) to the original image. What is the scale factor?
30
Figure A' has a side length of 18. It was the result of a dilation by a scale factor of 3/5. What was the side length of the pre-image, Figure A?
18
Figure A' has a side length of 9 and was dilated by a scale factor of 1/2 (0.5). What is the side length of Figure A, the pre-image?
-8
If A (-2, 4) is dilated by a scale factor of 4, what is the new x-value of A'?
-4
If A (0, -12) is dilated by a scale factor of 1/3, what is the new y-value of A'?
-6
If A (4, -12) was dilated by a scale factor of 1/2, what is the new y-coordinate of A'?
-2
If A (6,-4) was dilated by a scale factor of 1/2, what would be the new y-coordinate of A'?
11
If A is (0,3) and A' is (0,33), what is the scale factor?
9
If A' is the image dilated by a scale factor of 3, and A' is (27, 9), what was the x-value of A?
(-1,2)
If C is (-3, 6), after a dilation with a scale factor of 1/3 what is C'?
1/6
If a dilation is represented algebraically as (1/6x, 1/6y), what is the scale factor of this dilation?
8
If a square with a perimeter of 4 inches is dilated by a scale factor of 2, what would be the new perimeter of the image?
1/3
If square A has a side of 30 and square A' has a side of 10, what is the scale factor to create the image?
(12, 15)
If the original point A (4,5) is dialated by a scale factor of 3, what is A'?
(8, -16)
If the point B is (2, -4) after a dilation with a scale factor of 4, what will be B'?
Enlargement
If the scale factor is 2.2, is the dilation and enlargement or a reduction?
smaller
In a dilation with a scale factor of 3/4, the new image is __________ than the original image.
Smaller than 1
In order to have a dilation that results in a reduction, the scale factor must be
-18
Point A (-2, 14) was dilated by a scale factor of 9 to create Point A'. What is the x-value that corresponds to A'?
126
Point A (-2, 14) was dilated by a scale factor of 9 to create Point A'. What is the y-value that corresponds to A'?
20
Point A (0,4) is dilated by a scale factor of 5 to create Point A'. What is the new y-coordinate of Point A'?
7.5
Point A (22, 18) was dilated by a scale factor to create point A' (165, 135). What was the scale factor?
7
Square ABCD was dilated by a scale factor of 7 to create square A'B'C'D' with vertices (21, 7), (49, 35), (56, 42), and (28, 14). What was the original x-coordinate of B' (B)?
2/3
The algebraic rule of the dilation is expressed as (2/3x, 2/3y). What is the scale factor?
4
Triangle A has sides 3, 4, and 5 and it dilated to sides 12, 16, and 20. What was the scale factor?
3
Triangle A has the coordinates (4,5), (9,12), and (6, 10). Triangle A' has vertices (12, 15), (27, 36), and (18,30). What is the scale factor?
1/5
Triangle ABC has vertices A (20, 20), B (15, 10), and C (5, 15). Triangle A'B'C' has vertices A' (4,4), B' (3, 2), and C' (1, 3). What is the scale factor of this dilation?
6
What is the scale factor expressed by the algebraic rule? (6x, 6y)?
5
What is the scale factor if side AB is 3 units and side A'B' is 15 units?
0.4
What is the scale factor in the algebraic representation, (x,y) --> (0.4x, 0.4y)?
2
What is the scale factor that was applied to triangle ABC to create triangle A'B'C'?
Translations
When an object SLIDES a given distance in a given direction
Multiply coordinates by scale factor
When given an (x,y) coordinate and scale factor, how is the dilation coordinate calculated?
