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

# State whether true or false We only need to check if the corresponding angles are equal for two triangles to be similar.

A
True
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
False
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A True Take two triangles ABC and DEF such that ∠A=∠D,∠B=∠E and ∠C=∠F.Cut DP = AB and DQ = AC and join PQ.So,ΔABC≅ΔDPQ (SAS congruence)This gives∠B=∠P=∠E and PQ∥EFTherefore,DPPE=DQQF⇒PEDP=QFDQ⇒PEDP+1=QFDQ+1⇒DP+PEDP=DQ+QFDQ⇒DEDP=DFDQ DP = AB and DQ = AC, ⇒DEAB=DFAC ABDE=ACDFSimilarly,ABDE=BCEF and so ABDE=BCEF=ACDFHence, if corresponding angles are equal in two triangles, they are similar as the ratio of corresponding sides is the same.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Criteria for Similarity of Triangles
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program