What can you say about ΔABC and ΔDBA?

What can you say about ΔDAC
 and ΔABC?

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Are they similar?

Show ΔDAC

Are they similar

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AC² = BC × DC
AB² = BC × DB

AC² +  AB²  = BC (DC + DB) = BC²

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a = 3 (slider from 1 to 30, step 1)
b = 5 (slider from 1 to 30, step 1)
A = (-0.84, 0.04)
c = Circle(A, a)
d = Circle(A, 5)
B = Point(Circle[A, a])
f = Segment(A, B)
g = OrthogonalLine(A, f)
e = Circle(A, b)
C_1, C = Intersect(e, g)
h = Segment(C, B)
i = Segment(A, C)
j = OrthogonalLine(A, h)
D = Intersect(j, h)
k = Segment(A, D)
t1, d_1, a_1, b_1 = Polygon(A, B, D)
α = Angle(B, A, D)
Torotate: 90° + α
l = false
A' = Rotate(A, (-Torotate), A)
B' = Rotate(B, (-Torotate), A)
D' = Rotate(D, (-Torotate), A)
t1', d', a', b' = Polygon(A', B', D')
A''_1 = Mirror(A', b')
B'' = Mirror(B', b')
D'' = Mirror(D', b')
t1'', d'', a'', b'' = Polygon(A''_1, B'', D'')
m = false
t2, a_2, d_2, c_1 = Polygon(D, C, A)
C' = Mirror(C, i)
A'_1 = Mirror(A, i)
Torotate2: α
n = false
D'_1 = Rotate(D, (-α), A)
A'_2 = Rotate(A, (-α), A)
o = false
D'_2 = Mirror(D, h)
C'_1 = Mirror(C, h)
A'_3 = Mirror(A, h)
t2', a'_3, d'_2, c'_1 = Polygon(D'_2, C'_1, A'_3)
E = Rotate(D'_2, (-α), D)
C'' = Rotate(C'_1, (-α), D)
A'' = Rotate(A'_3, (-α), D)
t2'', g_1, e_1, f_1 = Polygon(E, C'', A'')
F = (14.2, -3.208)
G = (17.68, -3.208)
p = false
q = true