How to opposite sides of a parallelogram are congruent.
TRIANGLES Solutions for Class 9th Maths.
9th Maths EXERCISE 7.1,Page No:118, Questions No:1
NCERT Books for Session 2023-2024 are based on CBSE Board.
In quadrilateral ACBD, AC = AD and AB bisects ∠A (see Figure). Show that Δ ABC ≅ Δ ABD. What can you say about BC and BD?
In ΔACB and ΔADB,
AC = AD [∵ Given]
∠CAB = ∠DAB [∵ AB bisects angle A]
AB = AB [∵ Common]
Hance, ΔABC ≅ ΔABD [∵ SAS Congruency Rule]
BC = BD [∵ Corresponding parts of congruent triangles are equal]