Answer :
1. Determine the coordinates of the original vertices of triangle STR:
Let's say the coordinates of the original vertices are:
S(2, 3), T(4, 5), R(6, 1)
2. Apply the dilation with a scale factor of 1/4:
To dilate the coordinates by a scale factor of 1/4, you multiply each coordinate by the scale factor.
For S(2, 3):
New x-coordinate = 2 * 1/4 = 1/2
New y-coordinate = 3 * 1/4 = 3/4
So, the new coordinates for S are S'(1/2, 3/4)
Repeat the same process for T and R:
For T(4, 5):
New x-coordinate = 4 * 1/4 = 1
New y-coordinate = 5 * 1/4 = 5/4
New coordinates for T are T'(1, 5/4)
For R(6, 1):
New x-coordinate = 6 * 1/4 = 3/2
New y-coordinate = 1 * 1/4 = 1/4
New coordinates for R are R'(3/2, 1/4)
3. Therefore, after the dilation with a scale factor of 1/4 centered at the origin, the new coordinates of the vertices of triangle STR are:
S'(1/2, 3/4), T'(1, 5/4), R'(3/2, 1/4)
Let's say the coordinates of the original vertices are:
S(2, 3), T(4, 5), R(6, 1)
2. Apply the dilation with a scale factor of 1/4:
To dilate the coordinates by a scale factor of 1/4, you multiply each coordinate by the scale factor.
For S(2, 3):
New x-coordinate = 2 * 1/4 = 1/2
New y-coordinate = 3 * 1/4 = 3/4
So, the new coordinates for S are S'(1/2, 3/4)
Repeat the same process for T and R:
For T(4, 5):
New x-coordinate = 4 * 1/4 = 1
New y-coordinate = 5 * 1/4 = 5/4
New coordinates for T are T'(1, 5/4)
For R(6, 1):
New x-coordinate = 6 * 1/4 = 3/2
New y-coordinate = 1 * 1/4 = 1/4
New coordinates for R are R'(3/2, 1/4)
3. Therefore, after the dilation with a scale factor of 1/4 centered at the origin, the new coordinates of the vertices of triangle STR are:
S'(1/2, 3/4), T'(1, 5/4), R'(3/2, 1/4)
