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.
Without the specific information about the vertices of triangle PQR, it is not possible to accurately determine their coordinates or plot the image after dilation. Please provide the coordinates of points P, Q, and R for further assistance.
just estimate
Sure, let's estimate the coordinates of the vertices of triangle PQR and plot the image after a dilation with a center at (0,0) and a scale factor of 3.
Assuming that point P is located at coordinates (1, 2), point Q is located at coordinates (3, 1), and point R is located at coordinates (2, 4), we can find the image points after dilation.
To dilate a point (x, y) with a scale factor of 3 and a center at (0, 0), we can multiply the coordinates of the point by the scale factor.
For point P: (1, 2) --> (1 * 3, 2 * 3) --> (3, 6)
For point Q: (3, 1) --> (3 * 3, 1 * 3) --> (9, 3)
For point R: (2, 4) --> (2 * 3, 4 * 3) --> (6, 12)
Now, let's plot the original triangle PQR and the image after dilation.
Original Triangle PQR:
P(1, 2) Q(3, 1) R(2, 4)
Image after dilation:
P'(3, 6) Q'(9, 3) R'(6, 12)
Note: The coordinates marked with (') represent the image after dilation.