Answer:
Coordinates of A': will NOT be the same
Coordinates of C': will NOT be the same
Perimeter of ABC: will be the same
Area of A'B'C': will be the same
Measure of ∠B: will be the same
Slope of A'C': will be the same
Explanation:
We have a triangle ABC that will be translated (moved) 2 units down, 3 units to the right.
Since the triangle is moved, then the coordinates of every summit (A, B and C) will be affected. So,
Coordinates of A': will NOT be the same
Coordinates of C': will NOT be the same
However, since the triangle is only moved, not transformed in any way, not scaled up/down for example the following will remain the same:
Perimeter of ABC: will be the same
Area of A'B'C': will be the same
Measure of ∠B: will be the same
Since the triangle is only translated, not rotated or reflected the following will remain the same:
Slope of A'C': will be the same