∆abc has vertices at a(12, 8), b(4, 8), and c(4, 14). ∆xyz has vertices at x(6, 6), y(4, 12), and z(10, 14). ∆mno has vertices at m(4, 16), n(4, 8), and o(-2, 8). ∆jkl has vertices at j(14, -2), k(12, 2), and l(20, 4). are congruent. a is a single rigid transformation that maps the two congruent triangles. 1- a) triangle abc and triangle xyz b) triangle abc and triangle mno c) triangle jkl and triangle abc d) triangle mno and triangle xyz 2- a) reflection b) dilation c) rotation d) translation

To get the length of each side,
use the distance formula with equation: 
Distance = ((x2-x1)^2+(y2-y1)^2)^0.5 
Solving
AB = 8 units   BC = 6 units AC = 10 units
MN =8units    NO = 6 units MO = 10 units
XY = 6.32 units   YZ = 6.32 units XZ = 8.94 units
JK = 4.47 units    KL = 4.47 units JL = 6 units 

1 The right answer is the letter b) triangle ABC and Triangle MNO are Congruent triangles
ABC and MNO  are triangles that have the same lengths of its three sides.

2 The answer is the letter c) rotation
There is a rotation of 90º about ABC and MNO the origin is B=N
B=N
CO
AM