Is there enough information to prove that the triangles are congruent? If yes provide the correct triangle congruence postulate or theorem and a congruent statement

if no justify your answer

Step-by-step explanation:

From the figure attached,

In the given right triangles ΔADB and ΔCDB,

              Statements                  Reasons

1). ∠BAD ≅ ∠BCD          1). Given

2). BD ≅ BD                   2). Reflexive property

3). ΔADB ≅ ΔCDB         3). By LA theorem of congruence of right triangles

Therefore, there is sufficient information to prove the ΔADB and ΔCDB congruent.

Leg-angle theorem (L-A) will be used to prove the right triangles congruent.

The answer to your question is    (x - 4)² + (y - 5)² = 100

Step-by-step explanation:

Data

Point = (-2, -3)

Midpoint = (4, 5)

Process

1.- Find the length of the radius using the formula of the distance between two points.

dPM =

x1 = -2   y1 = -3   x2 = 4   y2 = 5

dPM =

dPM =

dPM =

dPM =

dPM = 10

2.- Find the equation of the line

                  (x - h)² + (y - k)² = r²

h = 4

k = 5

r = 10

                 (x - 4)² + (y - 5)² = 10²

                 (x - 4)² + (y - 5)² = 100