In quadrilateral ACBD, AC = AD and AB bisects angle A. Show that  ABC congruent to  ABD Q1 Ch7 NCERT
Channel: Learn with Tushar
Date: 2021-08-26

Q1: In quadrilateral ACBD, AC = AD and AB bisects angle A. Show that  ABC congruent to  ABD. What can you say about BC and BD?

This video is an attempt to solve all the doubts in the chapter congruence of triangle. All the videos related to the the chapter #triangle is available in the playlist whose link is given below.

Playlist for Chapter 7(Triangle class 9 NCERT Solution) 

Links for other chapters are available in the playlist, go and explore.

In this particular video we are covering: 
How to prove a triangle congruent to another triangle?
How to present the work?


Class: 9th

Sub Topic: 
Congruence of Triangle

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Very Important from an exam point of view.

Boards Covered: CBSE, ICSE, IGCSE, IB, etc, wherever the concept of  Rational number is required.

Link of the other videos

Q1: https://youtu.be/LlRkiNRfy6A 
Q2: https://youtu.be/yU93nELf-Go 
Q3: https://youtu.be/rHFeVkgPg8g 
Q4: 
Q5: 
Q6: 
Q7:
Q8: 
Q9: 
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Q16: 


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Q1: In quadrilateral ACBD, AC = AD and AB bisects angle A. Show that  ABC congruent to  ABD. What can you say about BC and BD?

Q2: ABCD is a quadrilateral in which AD = BC and angle DAB = angle CBA. Prove that 
(i)  ABD congruent to  BAC
(ii) BD = AC
(iii) angle ABD = angle BAC.

Q3. AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB.

Q4. L and M are two parallel lines intersected by another pair of parallel lines p and q
. Show that triangle ABC congruent to CDA.

Q5. Line L is the bisector of an angle A and B is any point on L. BP and BQ are perpendiculars from B to the arms of angle A. Show that:
(i) APB congruent to AQB
(ii) BP = BQ or B is equidistant from the arms
of angle A.

Q6. AC = AE, AB = AD and angle BAD = angle EAC. Show that BC = DE.

Q7. AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that angle BAD = angle ABE and angle EPA = angle DPB
Show that
(i)  DAP congruent to EBP
(ii) AD = BE

Q8. In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B
Show that:
(i)  AMC congruent to BMD
(ii) angle DBC is a right angle.
(iii)  DBC congruent to ACB
(iv) CM = half of AB