The perpendicular bisector theorem gives the statements that ensures
that 
and 
are perpendicular.
The two statements if true that guarantee is perpendicular to line are;
Reasons:
The given diagram is the construction of the line 
perpendicular to line 
.
Required:
The two statements that guarantee that is perpendicular to line .
Solution:
From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line , therefore;
arcs drawn from the same radius.
is perpendicular to line , given.
Therefore;
by perpendicular bisector theorem.
Learn more about the perpendicular bisector theorem here:
brainly.com/question/11357763
Answer:
see explanation
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
Thus ∠D = ∠A and substituting values
2x = x + 31 ( subtract x from both sides )
x = 31
Hence
∠A = x + 31 = 31 + 31 = 62
∠D = 2x = 2 × 31 = 62
2x=3
so substitute y=mx+c
rise/run
