Proof

[vampirewitchreine]

Hey guys, I'm having a little bit of trouble with this proof. Could someone help me set this one up. (Edit, I'd really appreciate it if you could check my proof and correct me if necessary)


(Practice proving triangles are congruent by SSS, SAS, ASA, AAS, and HL)

(Angles 1 and 2 are congruent..... angles 3 and 4 are congruent)

Given: line AD bisects angle BAC, line AD bisects angle BDC
Prove: ▲ABD is congruent to ▲ ACD

Statements	Reasons
1. line AD bisects angle BAC	1. Given
2. line AD bisects angle BDC	2. Given
3. line AD is congruent to line AD	3. Reflexive property
4. angle 1 is congruent to angle 2	4. Def. of angle bisector
5. angle 3 is congruent to angle 4	5. Def. of angle bisector
6. ▲ABD is congruent to ▲ACD	6. ASA

 

[Mrspi]

Hey guys, I'm having a little bit of trouble with this proof. Could someone help me set this one up. (Edit, I'd really appreciate it if you could check my proof and correct me if necessary)


(Practice proving triangles are congruent by SSS, SAS, ASA, AAS, and HL)

(Angles 1 and 2 are congruent..... angles 3 and 4 are congruent)
View attachment 1548
Given: line AD bisects angle BAC, line AD bisects angle BDC
Prove: ▲ABD is congruent to ▲ ACD

Statements	Reasons
1. line AD bisects angle BAC	1. Given
2. line AD bisects angle BDC	2. Given
3. line AD is congruent to line AD	3. Reflexive property
4. angle 1 is congruent to angle 2	4. Def. of angle bisector
5. angle 3 is congruent to angle 4	5. Def. of angle bisector
6. ▲ABD is congruent to ▲ACD	6. ASA

Looks fine to me.