NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.1 – Part 3

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Angle Angle Side congruence condition

Give Angle Angle Side congruence condition of ΔENR and ΔRNV

Give Angle Angle Side Congruence Condition

Give Angle Angle Side congruence condition of ΔENR and ΔRNV

Q-5. Line l is the bisector of an angle and B is any point on l. BP and BQ are perpendiculars from B to the arms of (see Fig). Show that:

  1. or B is equidistant from the arms of

Angle a and B Is Any Point on L

Angle a and B is any point on l that line is bisector. BP and BQ are perpendicular from B tohe arms of angle A

Solution:

Give, l is the bisector of an angle

BP and BQ are perpendiculars.

  1. In and

    (Right angles)

    (l is bisector)

    (Common line)

    Therefore, (by Angle-Angle-Side congruence condition).

  2. by Corresponding Part of Congruent Triangles.

    Therefore, B is equidistant from the arms of .

Q-6 In the Figure. , . Show that

Point of a,B,C,D,E ,∠BAD = ∠EAC

point of A,B,C,D,E ,∠BAD = ∠EAC also AC=AE,AB=AD

Solution:

Given,

To show,

Proof,

(Adding ∠DAC both sides)

In and

(Given)

(Given)

Therefore, (by Side-Angle-Side congruence condition).

(By Corresponding Part of Congruent Triangles)