Why AAA Congruency Rule is Not Valid

Q.

Consider the figure and choose the correct option.

1. ΔABC ≅ ΔDEF

2. ΔABC ≅ ΔDFE

3. ΔABC ≅ ΔFED

4. ΔABC is not congruent to ΔFED

Q.

If $△$ PNE ≅ $△$ CAR and PN = CR, then $\angle$ E =

1. $\angle$ C

2. $\angle$ P

3. $\angle$ R

4. $\angle$ A

Q. Which of the following is not a criterion for the congruency of triangles?

1. SSS
2. SAS
3. ASA
4. AAA

Q.

In $△$ABC, $\angle A={30}^o$ , $\angle B={40}^o$ and $\angle C={110}^o$.

In $△$PQR, $\angle P={30}^o$ , $\angle Q={40}^o$ and $\angle R={110}^o$.

Then the two triangles are necessarily congruent.

1. True

2. False