CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In the parallelogram ABCD, the angles A and C are obtuse. Points X and Y are taken on the diagonal BD such that the angles XAD and YCB are right angles. 

Prove that : XA = YC. 


Solution

Given : ABCD is a parallelogram and AX and CY are  on diagonal BD

Now In  Δ ABX and Δ CDY

AXB=CDY=900 (Given)

and ABX=CDY (Alternate opposite angles)

AB = CD  (opposite sides of a ||gm)

ΔABXΔ CDY  (by AAS congruency criterion)

AX=CY

(C.P.C.T.)

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


Same exercise questions
View More


People also searched for
View More



footer-image