Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)
Answer:

Step-by-step explanation:
we know that
The perimeter of triangle is equal to the sum of the length of the three sides
Let

the formula to calculate the distance between two points is equal to
Find the distance AB

substitute in the formula
Find the distance BC

substitute in the formula
Find the distance AC

substitute in the formula
Find the perimeter

