AB = AC and AD is the bisector BAC. (i) State three pairs of equal parts in triangles ∆ADB and ∆ADC. (ii) Is ∆ADB congruent to ∆ADC? Give reasons. (iii) Is B = C. Give reasons.
Answers
Answered by
16
Step-by-step explanation:
Given : AB = AC and AD is the bisector of ∠BAC.
To Find :
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ΔADB ≅ΔADC
(iii)Is ∠B = ∠C
Solution :
The three pairs of equal parts in ∆ADB and ∆ADC are :-
AB = AC (Given.)
∠BAD = ∠CAD (∵ AD is the bisector of ∠BAC.)
AD = AD (common.) - reflexive property
ΔADB ≅ΔADC ( SAS ) YES
∠B = ∠C ( CPCT ) YES
Similar questions
Accountancy,
5 months ago
Math,
5 months ago
Math,
10 months ago
English,
10 months ago
India Languages,
1 year ago