Answer:
D) X′ (0, 6), Y′ (0, 0), Z′ (15, 0)
Step-by-step explanation:
From the image attached, given that the location of the triangle is at:
X(0, 2). Y(0, 0), Z(5, 0)
Transformation is the movement of a point from its initial position to a new position. A shape is transformed by transforming all the points in the shape. Types of transformations are reflection, rotation, dilation and translation.
A dilation produces the same shape but different size. If the dilation < 1, then it is a reduction but if dilation > 0 then it is an enlargement.
A point A(x, y) which is dilated by a factor of c at the origin has new coordinates at A'(cx, cy).
Since triangle XYZ is dilated by a factor of 3 with the center of dilation at the origin, this represents an enlargement and the new coordinates of the triangle are:
X'(3*0, 3*2) = X'(0, 6)
Y'(3*0, 3*0) = Y'(0, 0)
Z'(3*5, 3*0) = X'(15, 0)
