Question

Is this correct ?

Answer 1

Construct a perpendicular bisector from point B to Line segment AC.
Label the point of intersection between this perpendicular bisector and Line segment AC as point D.
m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector.
∠BDA is congruent to ∠BDC by the _______1________.
Line segment AD is congruent to Line segment DC by _______2________.
ΔBAD is congruent to ΔBCD by the Angle-Side-Angle (ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent (CPCTC).
Consequently, ΔABC is isosceles by definition of an isosceles triangle.

Answer 2

1 ,the definition of congruent angles
2. the definition of a perpendicular bisector

Answer 3

yes

Answer 4

@Mertsj thank you

Answer 5

yw