ABDC is a parallelogram in which diagonals AD and BC intersect at O. AE and DF are perpendicular on BC at E and F, respectively. Which of the following is not true?

This question was previously asked in
SSC CGL Previous Paper 47 (Held On: 6 June 2019 Shift 2)
View all SSC CGL Papers >
  1. ΔADC ≅ ΔABD
  2. ΔAOE ≅ ΔDOF
  3. ΔABC ≅ ΔDCB
  4. ΔAEB ≅ ΔDFC

Answer (Detailed Solution Below)

Option 1 : ΔADC ≅ ΔABD
vigyan-express
Free
PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
3.6 Lakh Users
25 Questions 50 Marks 10 Mins

Detailed Solution

Download Solution PDF

F1 V.G D.K 30.09.2019 D 1

As we know,

In quadrilateral opposite sides are parallel and equal and its diagonals bisect each other.

Go through the option (1)

In ΔADC and In ΔABD

⇒ AC = DB(Opposite sides)

⇒ AD = AD(Common)

⇒ ∠ACD = ∠ABD      (Opposite angles)

Now, we can say ΔACD ≅ ΔDBA not ΔADC ≅ ΔABD

Latest SSC CGL Updates

Last updated on Jun 13, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

More Quadrilaterals Questions

More Geometry Questions

Get Free Access Now
Hot Links: teen patti gold old version teen patti wealth teen patti wink