Congruency of Triangles
Trending Questions
Q. If ABCD is a parallelogram and AP=CQ, show that AC and PQ bisect each other.
Q. 
Points P and Q have been taken on opposite sides AB and CD respectively of a parallelogram ABCD such that AP = CQ. Which of the following is correct?

Points P and Q have been taken on opposite sides AB and CD respectively of a parallelogram ABCD such that AP = CQ. Which of the following is correct?
- AC and PQ bisect each other.
- AC = PQ
- AC = CD
- None of the above
Q.
A diagonal of a parallelogram divides the parallelogram into two congruent triangles.

- False
- True
Q.
If a, b, c are all non zero and a+b+c=0, prove that
a2/bc + b2/ca + c2/ab =3
Q.
In the given figure, ABCD is a quadrilateral in which AB = AD and BC = DC. Prove that (i) AC bisects ∠A and ∠C, (ii) BE = DE, (iii) ∠ABC=∠ADC.
Q.
In the adjoining figure, ABCD is a square and ΔEDC is an equilateral triangle. Prove that (i) AE=BE, (ii) ∠DAE=15∘.
Q.
In the adjoining figure, ABCD is a parallelogram in which AB is produced to E so that BE = AB. Prove that ED bisects BC.
Q.
In the adjoining figure, ABCD is a parallelogram and E is the midpoint of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.
Q. The triangle formed by joining the mid-points of an equilateral triangle is triangle.
- an equilateral
- an isosceles
- a scalene
Q. 
Points P and Q have been taken on opposite sides AB and CD respectively of a parallelogram ABCD such that AP = CQ. Which of the following is correct?

Points P and Q have been taken on opposite sides AB and CD respectively of a parallelogram ABCD such that AP = CQ. Which of the following is correct?
- AC = CD
- None of the above
- AC and PQ bisect each other.
- AC = PQ