Given in figure 5 : 3 right angle triangles
For the triangle ABC :
The angle A is the right angle
AB = 5
AC = 2
For the triangle DEF:
The angle E is the right angle
EF = 4
DE = 2
For the triangle XYZ
The angle Y is the right angle
XY = 5
YZ = 2
So, by comparing the data of the triangles:
The triangle ABC is congruent to the triangle YXZ
By SAS [ side - angle - side ]
The rigid motion that can map one to the other will be:
By rotating the triangle YXZ , 90 degree clockwise a round the point Z, then make a translation 6 units to the right , We will get the triangle ABC
