Question

In ΔABC shown below, line segment AB is congruent to line segment BC:

Answer 1

Given: line segment AB≅line segment BC

Prove: The base angles of an isosceles triangle are congruent.

The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent:

Answer 2

Statement Reason
1. segment BD is an angle bisector of ∠ABC. 1. by Construction
2. 2. Definition of an Angle Bisector
3. segment BD ≅ segment BD 3. Reflexive Property
4. ΔABD ≅ ΔCBD 4. Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA 5. CPCTC

Answer 3

Which statement can be used to fill in the numbered blank space?

∠DBA ≅ ∠CDB

∠CAB ≅ ∠ACB

∠ABD ≅ ∠CBD

∠BDA ≅ ∠BDC

Answer 4

@Kemist

Answer 5

@ganeshie8

Answer 6

@dan815

Answer 7

@texaschic101

Answer 8

Let's start from the top. It mentions segment BD; do you know where point D is?

Answer 9

I did all the work out a paper and I think the answer is ∠ABD ≅ ∠CBD?

Answer 10

@Kemist

Answer 11

That's what I got.