Answer:
The answer is below
Step-by-step explanation:
The question is not complete but i would show how to solve.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are dilation, rotation, translation and reflection.
Dilation is the enlargement or reduction in the size of a figure.
a) If an point A(x, y) is dilated by a factor k, the new coordinate is A'(kx, ky). From the above options the ones that represent dilation is (x, y) → (0.5x, 0.5y) and (x, y) → (2x, 2y)
. If the object is reduced then the correct option is (x, y) → (0.5x, 0.5y) while if the object is enlarged the correct option is (x, y) → (0.5x, 0.5y)
b)Dilation is the enlargement or reduction in the size of a figure by a factor k. If k < 1, then it is a reduction and if k > 1, it is an enlargement.
Since Triangle XYZ is dilated with the origin as the center of dilation using the rule (x, y)⇒(0.5x, 0.5y) to create Triangle X’Y’Z’, since the factor is less than 1(0.5 < 1), it is a reduction. Hence Triangle X’Y’Z’ is smaller than Triangle XYZ, because the scale factor is less than 1
c) The dilation creates a smaller figure hence the factor of dilation should be less than 1.
