Chapter-7 ➤ Congruence of Triangles

1. The symbol for correspondence is

 
 
 
 

2. We want to show that ∆ ART = ∆ PEN. We have to use ASA criterion. We have AT = PN, ∠A = ∠P. What more we need to show?

 
 
 
 

3. ‘Under a given correspondence, two triangles are congruent if two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle.’
The above is known as

 
 
 
 

4. For two given triangles ABC and PQR, how many matchings are possible?

 
 
 
 

5. If ∆ ABC = ∆ PQR, then ∠A corresponds to

 
 
 
 

6. If ∆ ABC = ∆ PQR, then ∠B corresponds to

 
 
 
 

7. We want to show that ∆ ART = ∆ PEN. We have to use SAS criterion. We have ∠T = ∠N, RT = EN. What more we need to show?

 
 
 
 

8. ‘Under a given correspondence, two right-angled triangles are congruent if the hypotenuse and a leg of one of the triangles are equal to the hypotenuse and the corresponding leg of the other triangle.’
The above is known as

 
 
 
 

9. We want to show that ∆ ART = ∆ PEN and we have to use SSS criterion. We have AR = PE and RT = EN. What more we need to show?

 
 
 
 

10. ‘Under a given correspondence, two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other.’
The above is known as

 
 
 
 

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