Question

By which rule are these triangles congruent?

Answer 1

Answer:

From the picture I am pretty sure it is SAS because you can see on the triangle is has two sides and an included angle so that's why it is SAS because SAS = Side, Included angle, Side.

Step-by-step explanation:

Don't take my word for it, you can check on khan academy they have many videos about this but I am almost positive that I am correct so you should be fine.

Answer 2

Answer:

(B) ASA rule

Step-by-step explanation:

Given: It is given that ∠JHC is congruent to ∠FGC, HC=CG.

To find: ΔJHC≅GFC

Solution:  It is given that ∠JHC is congruent to ∠FGC, HC=CG, thus

Taking ΔJHC and GFC, we have

∠JHC=∠FGC (given)

HC=CG (given)

∠JCH=∠GCF (vertically opposite angles)

Therefore, By ASA rule of congruency,

ΔJHC≅GFC

Hence, option (B) is correct.