1.2 and 3q
Dilation is not a rigid transformation, for it is not an isometry, hence a dilation produces similar and not congruent figures.
If we have to dilate a with scale factor of 3, with this centered at its origin,with its sides p, q and r. We'll have having 3p,3q, 3r.
The slope in a Dilation is considered carefully when it is not dilated at its center. Well it is. And we're not dilating line segments, then it'll look like this (check below)
So its line segments will be thrice the value of its original triangle as well.
point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.
the equation of the parallel line would be y = 2x + 9
to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2
since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.
y - y1 = m(x - x1)
y - 5 = 2(x + 2)
y - 5 = 2x + 4
y = 2x + 9