Draw a triangle with vertices a(0, 4), b(2, -2), and c(-2, -2). apply a dilation centered at the origin with scale factor to 1/2  this triangle and draw the resulting triangle, a'b'c'. in complete sentences, describe the following: the relationship between corresponding sides in terms of their lengths. the relationship between corresponding sides in terms of their orientations. the relationship between corresponding angles in terms of their measures.

The relationship between corresponding sides in terms of their lengths:

The sides of the dilated triangle are half the length of the first triangle.

The relationship between corresponding sides in terms of their orientations.

The two triangles have the same orientation.

The relationship between corresponding angles in terms of their measures.

The two triangles have congruent corresponding angles.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

$15 each

step-by-step explanation:

$45/3 children= $15 each