1.
Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (–1, 2) and (3, –3). (1 point)
(–2, 4) and (6, 6)
(2, 4) and (6, 6)
(–2, 4) and (6, –6)
(2, –1) and (–3, 3)
2.
Given a scale factor of 1 over 2 , find the coordinates for the dilation of the triangle with vertices at (0, 0), (0, 2) and (4, 0). (1 point)
(0, 0), (0, 4), (8, 0)
(0, 0), (0, 1), (2, 0)
(1 over 2,1 over 2), (1 over 2, 1), (2, 1 over 2)
(2, 2), (2, 4), (8, 2)
3.
Gina uses a magnifying glass to look at bugs. A caterpillar that is 2 inches long appears 4.5 inches long through the glass. What is the scale factor? (1 point)
2.25
0.4
9
2.5
ok i have the same questions and where are the answers?!
See Related Queston: Wed,10-24-12,3:01pm
1. To find the coordinates for the dilation of the line segment, we need to multiply the x and y coordinates of each point by the scale factor.
Given a scale factor of 2, the x and y coordinates of the first point (–1, 2) become:
(-1) * 2 = -2
(2) * 2 = 4
Thus, the first point of the dilation is (-2, 4).
Similarly, the x and y coordinates of the second point (3, -3) become:
(3) * 2 = 6
(-3) * 2 = -6
Thus, the second point of the dilation is (6, -6).
Therefore, the correct answer is (–2, 4) and (6, -6).
2. To find the coordinates for the dilation of the triangle, we again need to multiply the x and y coordinates of each vertex by the scale factor.
Given a scale factor of 1 over 2, the x and y coordinates of the first vertex (0, 0) become:
(0) * 1/2 = 0
(0) * 1/2 = 0
Thus, the first vertex of the dilation is (0, 0).
For the second vertex (0, 2), the coordinates become:
(0) * 1/2 = 0
(2) * 1/2 = 1
Thus, the second vertex of the dilation is (0, 1).
For the third vertex (4, 0), the coordinates become:
(4) * 1/2 = 2
(0) * 1/2 = 0
Thus, the third vertex of the dilation is (2, 0).
Therefore, the correct answer is (0, 0), (0, 1), and (2, 0).
3. To find the scale factor, we need to calculate the ratio of the magnified length to the original length.
The original length is 2 inches, and the magnified length is 4.5 inches.
Scale factor = Magnified length / Original length
Scale factor = 4.5 / 2 = 2.25
Therefore, the correct answer is 2.25.