Question

If two sides and the included angle of the one triangle are respectively equal to the two sides and the included angle of the other Triangle follows-

options

SAS Congruence criterion

SSS Congruence criterion

ASA Congruence criterion

RHS Congruence criterion​

Answer 1

the triangles follow SAS congruence criterion.

(side angle side)

Answer 2

Answer:

$\longrightarrow$ SAS Congruence criterion

Step-by-step explanation:

$\large\underline\mathtt{\red{Question:-}}$

$\hookrightarrow$ If two sides and the included angle of the one triangle are respectively equal to the two sides and the included angle of the other Triangle follows?

$\Large\underline\mathtt{\purple{Solution:-}}$

$\implies$ When in two triangles, two sides and the included angles are equal then the SAS criterion of congruence follows.

$:\implies$ Like in the above attachment, In ∆ ABC and ∆ PQR;

• AB = PQ

• $\angle$ B = $\angle$ Q

• BC = QR

As, here it comes sides(AB = PQ), then an angle(which is between the two sides given to be equal) & sides (BC = PQ). Hence, this criterion of congruence is called as SAS ( Side Angle Side) congruence criterion.

_________________________________________

$\tiny\mathfrak{\red{@MissTranquil}}$