Answer:
3 and 4 both SAS (Side-Angle-Side) axiom.
Explanation:
Note:
There are four basic conditions for two triangles to be congruent. These are:
- SSS (Side-Side-Side):
- If all three pairs of corresponding sides of two triangles are equal, then the triangles are congruent.
- SAS (Side-Angle-Side):
- If two pairs of corresponding sides of two triangles are equal, and the angles between those sides are also equal, then the triangles are congruent.
- ASA (Angle-Side-Angle):
- If two pairs of corresponding angles of two triangles are equal, and the sides between those angles are also equal, then the triangles are congruent.
- AAS (Angle-Angle-Side):
- If two pairs of corresponding angles of two triangles are equal, and the side that includes one of those angles is also equal, then the triangles are congruent.
One of the conditions should be needed to fulfill to determine whether the two triangles are congruent.
Over here:
3.
In ΔOMT and ΔOGE
MT=GE Given Side
∡MOT=∡GOE Vertically Opposite angle Angle
MO=OE Given Side
It fulfills the condition of the SAS (Side-Angle-Side) axiom.
ΔOMT ≅ ΔOGE by SAS (Side-Angle-Side) axiom.
4.
In ΔKJL and ΔIJH
JL=JH Given Side
∡KJL=∡HJI Vertically Opposite angle Angle
IJ=JK Given Side
It fulfills the condition of the SAS (Side-Angle-Side) axiom.
ΔKJL≅ ΔIJH by the SAS (Side-Angle-Side) axiom.