Question

In following pairs of triangles, find the pairs which are congruent? Also, write the criterion of congruence.

Answer 1

In $\Delta ABC\overline{AB}=6.5cm$

$\angle B={70}^o$

$\angle C={60}^o$

In $\Delta PQR\overline{RP}=6.5cm$

$\angle P={70}^o$

$\angle Q={60}^o$

$\therefore \overline{AB}\cong \overline{RP};\angle B\cong \angle P;\angle C\cong \angle Q$

Line $\overline{AB}$ is congurent to $\overline{RP}\therefore \Delta ABC\cong \Delta PQR$ SAA congurency i. e. ; ASA congurency.

Criterion :- SSS - congurency [Here S = side , A = Angle]

SAS - congurency

ASA - conurency

AAS - congurency