Answer:
Perimeter of quadrilateral
will be 
Step-by-step explanation:
Given quadrilateral
is a reflection of quadrilateral
over the line
.
So, all the corresponding sides of both the quadrilateral should be equal.
Also, we can see from the diagram that 
As both image are reflection of same scale we can add corresponding sides.
So, the perimeter of
will be

And we have 
Now, perimeter of
will be 
Perimeter of quadrilateral
is 
slope = rise over run = y/x
A (-1,3) slope = 3/-1 = -3
B (1,2) slope = 2/1 = 2
C (-3,-1) slope = -1/-3 = 1/3
2 lines need to be negative reciprocals in order to be a right triangle
negative reciprocal of -3 is 1/3
so this is a right triangle
I assume that you want the measurement of angle A
A + (A + 38) = 90
angle A + (38 more than angle a) = are complementary
2A = 52
A = 26
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