In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ. Show that: (i) ∆ APD ≅ ∆ CQB (ii) AP = CQ (iii) ∆ AQB ≅ ∆ CPD (iv) AQ = CP (v) APCQ is a parallelogram

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Conditions for Quadrilateral to be Parallelogram | PadhAiPro

Question

CASE_STUDIESConditions for Quadrilateral to be ParallelogramNCERT Textbook5 sub-questions

Similar Questions

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || AB. Show that (i) ∠ DAC = ∠ BCA and (ii) ABCD is a parallelogram.

CASE_STUDIESConditions for Quadrilateral to be Parallelogram

Which of the following is not true for a parallelogram?

MCQ (Single)Conditions for Quadrilateral to be Parallelogram

Three angles of a quadrilateral ABCD are equal. Is it a parallelogram? Why or why not?

TextConditions for Quadrilateral to be Parallelogram

Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35º, determine ∠B.

TextConditions for Quadrilateral to be Parallelogram

Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.

TextConditions for Quadrilateral to be Parallelogram

PQ and RS are two equal and parallel line-segments. Any point M not lying on PQ or RS is joined to Q and S and lines through P parallel to QM and through R parallel to SM meet at N. Prove that line segments MN and PQ are equal and parallel to each other.

TextConditions for Quadrilateral to be Parallelogram