ANSWERS
(a) Shortest side length of the original figure: 1 unit
Shortest side length of the final figure: 3 units
(b) Shortest side length of the final figure = 3 x shortest side length of the original figure.
EXPLANATION
A dilation with center at the origin (0, 0) and scale factor k, follows this rule for every point (x, y):
[tex](x,y)\to(kx,ky)[/tex]
In this case, the scale factor is 3, so we have to multiply both coordinates of each vertex by 3 to obtain the dilated figure,
Note that each point of each figure must be aligned with a line passing through the origin.
(a) The shortest side of the original figure is the one on the right of the figure, and it is 1 unit long. Note that for both figures, the shortest side is in the same position, so the shortest side of the final figure is 3 units long.
(b) We can conclude from part a - and from the diagram, that after a dilation with a scale factor of 3, each side of the final figure is 3 times its corresponding sides of the original figure.
