1. Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (-1,2) and (3,-3).
a. (2,4) and (6,6)
b. (2,4) and (6,6)
c. (-2,4) and (6,-6)
d. (2,-1) and (-3,3)
2. Given a scale factor of 1/2, find the coordinates for the dilation of the triangle with vertices at (0,0), (0,2), and (4,0).
a. (0.0), (0,4), (8,0)
b. (0,0), (0,1), (2,0)
c. (1/2,1/2), (1/2,1), (2,1/2)
d. (2,2), (2,4), (8,2)
Please someone help me with my math. :(
Steve, Ms. Sue or someone that is good at math, please help me.
1. (-1,2), (3,-3).
Multiply all coordinates by 2:
(-2,4), (6,-6).
2. Multiply all coordinates by 1/2.
Answer: b.
C and B
To find the coordinates for the dilation of a line segment or a triangle, you need to multiply the coordinates of each point by the given scale factor.
1. For the given line segment with endpoints (-1, 2) and (3, -3), we have a scale factor of 2. To find the dilation, you need to multiply each coordinate by 2:
Endpoint 1: (-1 * 2, 2 * 2) = (-2, 4)
Endpoint 2: (3 * 2, -3 * 2) = (6, -6)
So the coordinates for the dilation of the line segment are (-2, 4) and (6, -6).
Looking at the answer choices, we see that option a and option b have the same coordinates, so either of them could be the correct answer.
2. For the given triangle with vertices at (0, 0), (0, 2), and (4, 0), we have a scale factor of 1/2. To find the dilation, you need to multiply each coordinate by 1/2:
Vertex 1: (0 * 1/2, 0 * 1/2) = (0, 0)
Vertex 2: (0 * 1/2, 2 * 1/2) = (0, 1)
Vertex 3: (4 * 1/2, 0 * 1/2) = (2, 0)
So the coordinates for the dilation of the triangle are (0, 0), (0, 1), and (2, 0).
Looking at the answer choices, we see that none of them match the correct coordinates for the dilation of the triangle. Therefore, none of the answer choices are correct for this question.