I posted this earlier but no one answered. :(
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)
c and b, i got all of these right, good luck
lilly is right :)
my assiment is overdue plz help
I need it done in a hour
To find the coordinates for the dilation of the line segment and triangle, we need to follow the rules of dilation.
1. Line Segment Dilation:
- The scale factor is 2.
- To find the dilation of the line segment (-1,2) and (3,-3), we need to multiply the coordinates of each endpoint by the scale factor.
- Multiply each x-coordinate and y-coordinate of the endpoints by 2.
- The new coordinates for the dilation are:
- Endpoint 1: (-1 * 2, 2 * 2) = (-2, 4)
- Endpoint 2: (3 * 2, -3 * 2) = (6, -6)
Looking at the answer choices:
a. (2,4) and (6,6)
b. (2,4) and (6,6)
c. (-2,4) and (6,-6)
d. (2,-1) and (-3,3)
We can see that options a, b, and c all have one correctly scaled coordinate, but d is completely incorrect. Therefore, the correct answer is (c) (-2,4) and (6,-6).
2. Triangle Dilation:
- The scale factor is 1/2.
- To find the dilation of the triangle with vertices (0,0), (0,2), and (4,0), we need to multiply the coordinates of each vertex by the scale factor.
- Multiply each x-coordinate and y-coordinate of the vertices by 1/2.
- The new coordinates for the dilation are:
- 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)
Looking at the answer choices:
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)
We can see that option b has all the coordinates correctly scaled by the factor of 1/2. Therefore, the correct answer is (b) (0,0), (0,1), (2,0).