state any 3 criteria of congruent triangles and explain them
Answers
Step-by-step explanation:
SSS (Side-Side-Side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA (Angle-Side-Angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.
Step-by-step explanation:
You take two triangles. Then,
If they are of same size then 1 triangle will completely overlap the 2nd triangle. If this happens then, they are said to be congruent.
But when can two triangles be same?
#1. Obiviously when all the sides are of same length.(SSS) and if this is true then,
#2. All angles also have to be equal. ( Angles opposite to equal sides are equal )
Now you can play with these two combination and the rules you will obtain must have 1 criteria related to sides!!
Rules:
SSS , SAS , AAS , ASA
DO NOTICE AAA IS NOT POSSIBLE and the side here is the included side where the angle is made.