No products in the cart.

ABCD is a quadrilateral in which …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively, show that the quadrilateral PQRS is a parallelogram.

Posted by Likhith Manohar Vadapalli 4 years ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 4 years ago

Construction : Join AC

In DAC,

S and R are mid points of DA and DC respectively.

By mid point theorem

SR || AC and SR = ...(1)

Similarly in BAC,

PQ || AC and PQ = ...(2)

From (1) and (2),

SR || PQ and SR = PQ

Hence PQRS is a parallelogram.

1Thank You

ANSWER

Related Questions

What is 38747484±393884747

Posted by Alvin Thomas 3 months ago

CBSE > Class 09 > Mathematics

0 answers

Prove that the sum of all the three interior angles of a triangle is 180 degree

Posted by Savitha Savitha 3 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

X³-12x²+39x-28

Posted by Sukhi Devasi 3 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by T Prudhvi 2 weeks, 2 days ago

CBSE > Class 09 > Mathematics