Question

Which statement is used to prove that angle ABD is congruent to angle ACD?

In the figure below, segment AC is congruent to segment AB.

Which statement is used to prove that angle ABD is congruent to angle ACD?

Segment AD bisects angle CAB.

Triangle ACD is similar to triangle ABD.

Segment AD is congruent to segment AC.

Angle CAB is congruent to angle CBA.

Answer 1

C = B
A1 = A2

ABD is congruent to ACD

Answer 2

Answer with explanation:

In Δ A CD and Δ A B D

AC ≅ AB⇒⇒⇒[Given]

Side,AD is Common.

You can prove two triangles Congruent either by S AS, or SSS.

So,either,→ BD=CD

or, →∠CAD=∠BAD

Δ A CD≅ Δ A B D⇒⇒⇒[S A S]

Option 1: Segment AD bisects angle CAB.

is true.