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

: ABCD Quadrilateral, AC = AD

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:

ABCD is a Quadrilateral

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)

Developed by: