1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# In the given figure, if AB = AC, then which of the following statement(s) is/are true?

A
ABD ACD by RHS postulate
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
ABD ACD by ASA postulate
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
BD = DC
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
If ABD = 60, then, ACD = 30
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct options are A △ABD ≅ △ACD by RHS postulate C BD = DCIn △ABD and △ACD, ∠ADB = ∠ADC = right angle AD = AD ( common) AB = AC (are hypotenuse and equal) △ADB ≅ △ADC by RHS criterion for congruency of triangles BD = CD (corresponding parts of congruent triangles) If ∠ABD = 60∘, then, ∠ACD = 60∘ (corresponding parts of congruent triangles), hence ∠ACD≠30°

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
RHS Criteria for Congruency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program