NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.1 – Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)
Glide to success with Doorsteptutor material for IMO Class-9: fully solved questions with step-by-step explanation- practice your way to success.
Side-Angle-Side congruent
Corresponding Parts of Congruent Triangles
Q-1 In quadrilateral , and AB bisects (see Fig) . Show that . What can you say about BC and BD
Solution:
Given: In the quadrilateral ABCD, and AB bisects
Prove:
Now,
(Common line)
(Given AB bisects )
(By Side-Angle-Side congruent rule)
(By Corresponding Parts of Congruent Triangles)
Therefore, BC and BD are of equal lengths.
Q-2 ABCD is a quadrilateral in which and (see Fig.) . Prove that
Solution:
Solution:
- In
- (Common line)
- (Given)
- (Given)
- Therefore, by Side-Angle-Side congruence condition.
- Since,
- Therefore by CPCT
- Since,
- Therefore (by Corresponding Parts of Congruent Triangles)