CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The figure shows a parallelogram PQRS in which A is the mid point of PQ and B is the mid point of RS.

S1 : SX = XY

S2 : XY = QY


  1. S1 is true but S2 is false

  2. S1 is false but S2 is true

  3. S1 and S2 are true

  4. S1 and S2 are false


Solution

The correct option is C

S1 and S2 are true


B is mid point of RS       BR =  12RS

A is mid point of PQ        AP = 12PQ

PQRS is a parallelogram so that PQ = RS and PQ || RS

Therefore, BR = AP and BR || AP              

Therefore BR = PQ  and PABR is a parallelogram   PA || BR and AR || PB

In ΔSYR , by converse of mid point theorem X is the mid point of SY       SX = XY

In ΔQPX , by converse of mid point theorem Y is the mid point of QX       QY = XY

Therefore both S1 and S2 are true.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...



footer-image