69.0k views
3 votes
NO LINKS!!! URGENT HELP PLEASE!!!

Determine if the two triangles are congruent. If they are, state how you know.
#3 and #4

NO LINKS!!! URGENT HELP PLEASE!!! Determine if the two triangles are congruent. If-example-1
User Partik
by
8.6k points

1 Answer

1 vote

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.

User Sumid
by
8.6k points