# NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.1 – Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Side-Angle-Side congruent Give Side-Angle-Side Congruent Rule , So ∠ B = ∠ Y and ∠ C = ∠ Z. So, B …

Corresponding Parts of Congruent Triangles Corresponding Parts of Congruent Triangles is ABC and a ′ B ′ C ′

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:

1. In
2. (Common line)
3. (Given)
4. (Given)
5. Therefore, by Side-Angle-Side congruence condition.
6. Since,
• Therefore by CPCT
• Since,
• Therefore (by Corresponding Parts of Congruent Triangles)

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