# NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.1 – Part 1

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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)