Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by ASA congruence rule. In case of congruence, write it in symbolic form.

4. Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by ASA congruence rule. In the case of congruence, write it in symbolic form.

                             \bigtriangleup DEF                                                                                                 \bigtriangleup PQR

        (i)\angle D= 60^{o},\angle F= 80^{o},DF= 5cm                                            \angle Q= 60^{o},\angle R= 80^{o},QR= 5cm
       (ii)\angle D= 60^{o},\angle F= 80^{o},DF= 6cm                                            \angle Q= 60^{o},\angle R= 80^{o},QP= 6cm
       (iii)\angle D= 80^{o},\angle F= 30^{o},EF= 5cm                                           \angle P= 80^{o},PQ= 5 cm,\angle R= 30^{o}

         

Answers (2)

best_answer

i)

Given in \bigtriangleup DEF and  \bigtriangleup PQR.

\\\angle D=\angle Q= 60^{o}\\\angle F=\angle R= 80^{o}\\DF=QR= 5cm

So, by ASA congruency criterion, they are congruent to each other.i.e.

\bigtriangleup DEF\cong\Delta QPR.

ii)

Given in \bigtriangleup DEF and  \bigtriangleup PQR.

\\\angle D=\angle Q= 60^{o}\\\angle F=\angle R= 80^{o}\\DF=QP= 6cm

For congruency by ASA criterion, we need to be sure of equity of the side which is joining the two angles which are equal to their corresponding parts. Here the side QR is not given which is why we cannot conclude the congruency of both the triangles.

iii)

Given in \bigtriangleup DEF and  \bigtriangleup PQR.

\\\angle D=\angle Q= 60^{o}\\\angle F=\angle R= 80^{o}\\DF=QP= 6cm

For congruency by ASA criterion, we need to be sure of equity of the side which is joining the two angles which are equal to their corresponding parts. Here the side QR is not given which is why we cannot conclude the congruency of both the triangles.

 

Posted by

Pankaj Sanodiya

View full answer

Given in \bigtriangleup DEF and \bigtriangleup PQR.

 

\\\angle D=\angle Q= 60^{o}\\\angle F=\angle R= 80^{o}\\DF=QR= 5cm

 

So, by ASA congruency criterion, they are congruent to each other.i.e.

 

\bigtriangleup DEF\cong\Delta QPR.

 

ii)

 

Given in \bigtriangleup DEF and \bigtriangleup PQR.

 

\\\angle D=\angle Q= 60^{o}\\\angle F=\angle R= 80^{o}\\DF=QP= 6cm

 

For congruency by ASA criterion, we need to be sure of equity of the side which is joining the two angles which are equal to their corresponding parts. Here the side QR is not given which is why we cannot conclude the congruency of both the triangles.

 

iii)

 

Given in \bigtriangleup DEF and \bigtriangleup PQR.

 

\\\angle D=\angle Q= 60^{o}\\\angle F=\angle R= 80^{o}\\DF=QP= 6cm

 

For congruency by ASA criterion, we need to be sure of equity of the side which is joining the two angles which are equal to their corresponding parts. Here the side QR is not given which is why we cannot conclude the congruency of both the triangles.

 

 

Posted by

Eklavya Singh

View full answer

Similar Questions

Trending Articles/News

anam-khan

NVS LEST 2025 application correction deadline today at navodaya.gov.in; editable fields
anam-khan

NVS 2025 application correction window for Class 9, 11 admissions opens at navodaya.gov.in
anam-khan

NVS Class 9, 11 Admission 2025: LEST registration last date extended again; apply by November 26

Latest Question