can I use ASA congurence rule and conclude that triangle AOC=_traingle BOD
Attachments:
Answers
Answered by
1
Answer:
yes because if you can see angle c A b is equals to angle a BD because AC and BD is parallel to each other so angle c A b will be equal to angle a BD by alternate interior angle property and ac is also equals to BD as they as it is given so you can write it by asa also but more relevant answer should be aas
Answered by
60
Answer :-
- 'No' We can't use ASA congruence rule to show that ΔAOC ≅ ΔBOD
- We can use AAS congruence rule to show that ΔAOC ≅ ΔBOD
Reason :-
- The Reason behind this is that both triangles are unable to fulfill the requirements of the ASA Congruence Rule.
Given :-
- ∠AOC = ∠BOD = 30°
- ∠ACO = ∠BDO = 70°
- AC = BD = 3 cm
To Show OR To Prove :-
- Can we ASA congruence rule to show that ΔAOC ≅ ΔBOD ?
Explanation :-
In Order to get the answer, First we need to understand two congruence rule,
- ASA (Angle Side Angle) :- If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
- AAS (Angle Angle Side) :- When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.
We can't use ASA Congruence rule because In the Given figure the 2 Triangles Failed to fulfill the property of ASA Rule.
AC is not included in the angles ∠ACO and ∠AOC
And
BD is not included in the angles ∠BDO and ∠BOD
➠ In ΔAOC and ΔBOD,
With Regards,
@Agamsain
Similar questions