Match the new coordinates that define the figure after dilation with a center at the origin by the given scale factor.
7953.jpg
Column A
1.
(3.0) dilated by scale factor of 1/3:
(3.0) dilated by scale factor of 1/3
2.
(3,4) dilated by scale factor of 1/3 scale factor:
(3,4) dilated by scale factor of 1/3 scale factor
3.
(0,4) after dilation with a scale factor of 1/3:
(0,4) after dilation with a scale factor of 1/3
4.
(3,0) after dilation with a scale factor of 3/2:
(3,0) after dilation with a scale factor of 3/2
5.
(3,4) after dilation with scale factor of 3/2:
(3,4) after dilation with scale factor of 3/2
6.
(0,4) after dilation with a scale factor of 3/2:
(0,4) after dilation with a scale factor of 3/2
Column B
a.(9/2, 0)
b.(1, 4/3)
c.(0, 4/3)
d.(1,0)
e.(0, 6)
f.(9/2, 6)
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To match the new coordinates with the given center and scale factor, we need to apply the dilation transformation.
Let's go through each option and determine the new coordinates after the dilation:
1. (3.0) dilated by scale factor of 1/3:
To dilate a point (3, 0) by a scale factor of 1/3, we multiply each coordinate by 1/3:
New coordinates: (3 * 1/3, 0 * 1/3) = (1, 0)
The new coordinates after dilation are (1, 0).
2. (3, 4) dilated by scale factor of 1/3:
To dilate a point (3, 4) by a scale factor of 1/3, we multiply each coordinate by 1/3:
New coordinates: (3 * 1/3, 4 * 1/3) = (1, 4/3)
The new coordinates after dilation are (1, 4/3).
3. (0, 4) after dilation with a scale factor of 1/3:
To dilate a point (0, 4) by a scale factor of 1/3, we multiply each coordinate by 1/3:
New coordinates: (0 * 1/3, 4 * 1/3) = (0, 4/3)
The new coordinates after dilation are (0, 4/3).
4. (3, 0) after dilation with a scale factor of 3/2:
To dilate a point (3, 0) by a scale factor of 3/2, we multiply each coordinate by 3/2:
New coordinates: (3 * 3/2, 0 * 3/2) = (9/2, 0)
The new coordinates after dilation are (9/2, 0).
5. (3, 4) after dilation with a scale factor of 3/2:
To dilate a point (3, 4) by a scale factor of 3/2, we multiply each coordinate by 3/2:
New coordinates: (3 * 3/2, 4 * 3/2) = (9/2, 6)
The new coordinates after dilation are (9/2, 6).
6. (0, 4) after dilation with a scale factor of 3/2:
To dilate a point (0, 4) by a scale factor of 3/2, we multiply each coordinate by 3/2:
New coordinates: (0 * 3/2, 4 * 3/2) = (0, 6)
The new coordinates after dilation are (0, 6).
Matching the new coordinates (Column B) with the corresponding options (Column A):
1 - d.(1, 0)
2 - b.(1, 4/3)
3 - c.(0, 4/3)
4 - a.(9/2, 0)
5 - f.(9/2, 6)
6 - e.(0, 6)
1. b. (1, 4/3)
2. a. (9/2, 0)
3. c. (0, 4/3)
4. d. (1,0)
5. f. (9/2, 6)
6. e. (0, 6)