wiz-icon
MyQuestionIcon
MyQuestionIcon
7
You visited us 7 times! Enjoying our articles? Unlock Full Access!
Question

Let, ABC be an isosceles triangle with AB=AC and let Γ denote its circumcircle. A point D is on arc AB of Γ not containing C. A point E is on arc AC of Γ not containing B. If AD=CE, prove that BE is parallel to AD.

Open in App
Solution

We note that triangle AEC and triangle BDA are congruent.
AE=BD
And hence ABE = DAB.
This proves that AD is parallel to BE.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Quadrilaterals - Theorem 10
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon