1. Let ΔABC be an isosceles triangle with
AB = BC.

given

2. Create point D on side AC¯¯¯¯¯ so BD¯¯¯¯¯ bisects
∠ABC.

constructing an angle bisector

3. m∠ABD=m∠CBD

definition of angle bisector

4. BD = BD

Reflexive Property of Equality

5. ΔABD≅ΔCBD

6. m∠BAC=m∠BCA

Corresponding angles of congruent triangles have equal measures.

Question

1. Let ΔABC be an isosceles triangle with
    AB = BC.

given

2. Create point D on side AC¯¯¯¯¯ so BD¯¯¯¯¯ bisects
    ∠ABC.

constructing an angle bisector

3. m∠ABD=m∠CBD

definition of angle bisector

4. BD = BD

Reflexive Property of Equality

5. ΔABD≅ΔCBD

 

6. m∠BAC=m∠BCA

Corresponding angles of congruent triangles have equal measures.

anonymous · Answer

what is 5?

anonymous · Answer

ASA

SSS

AAS

SAS

kc_kennylau · Answer

|dw:1394893113293:dw|

kc_kennylau · Answer

Let's see what are used for the congruence...

anonymous · Answer

http://cdn.ple.platoweb.com/PCAP-ASSETS-PROD/9c27187a55d344aca6dfda055d51c919

kc_kennylau · Answer

Two sides including angle are given

kc_kennylau · Answer

If that's not SAS what else can it be

anonymous · Answer

SAS