a) ASA congruency
b)SAS congruency
c)SSS congruency
d) Not congruent
Step-by-step explanation:
Step 1:
a)
Angle PRQ = Angle RQS
Angle PRQ = Angle QRS (since PQ is parallel to RS , these form corresponding angles and hence are equal.
QR is the common Side
Hence 2 angles are same and the side which is included are same.Hence the 2 given triangles are congruent.
Step 2 :
b)
Angle IGH = Angle EDF
Side IG = DF and Side GH = DE
Here 2 of the sides of the triangle are same and the Angle which is included are same.
Hence the given triangles are equal
Step 3:
c)
In the given triangles the three sides re equal. Hence as per the side Side Side postulate the triangles are equal.
Step 4:
d) 2 angles are equal but the equal Side is not included and hence the two triangles are not congruent
