Find the images of the vertices of PQR, shown below, for a dilation with center (0,0) and scale factor 3. Then graph the image.
New Coordinates
P(2,-3)
Q(2,4)
R(4,-3)
Find the dialation
To find the dilation of the vertices PQR with a center at (0,0) and a scale factor of 3, we need to multiply the coordinates of each vertex by the scale factor.
P(2,-3) --> Image P'(6,-9)
Q(2,4) --> Image Q'(6,12)
R(4,-3) --> Image R'(12,-9)
Now, we can graph the image P'Q'R':
Image of PQR:
P'(6,-9)
Q'(6,12)
R'(12,-9)
it needs to be smaller not bigger
Apologies for the confusion. If the scale factor is smaller than 1, it will result in a smaller image.
To find the dilation of the vertices PQR with a center at (0,0) and a scale factor of 1/3 (or 3/1), we need to multiply the coordinates of each vertex by the scale factor.
P(2,-3) --> Image P'(2/3, -1)
Q(2,4) --> Image Q'(2/3, 4/3)
R(4,-3) --> Image R'(4/3, -1)
Now, we can graph the image P'Q'R':
Image of PQR:
P'(2/3, -1)
Q'(2/3, 4/3)
R'(4/3, -1)
Please note that the image is smaller than the original figure.