wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the given figure, if x=y and AB = CB, then AE is _____.



A
less than CD
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
greater than CD
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
equal to CD
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
data insufficient
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C equal to CD
Consider ΔABE and ΔCBD.
Given, x=y.
180x=180y
CDB=AEB
Now, AB = CB (given) and
CBD=ABE ( common angles in ΔABE and ΔCBD)
Hence, ΔABEΔCBD
(by AAS criteria of congruency for triangles)
AE = CD (CPCT)

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
AAS
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon