AABC has vertices at A(12, 8), B(4,8), and C(4, 14). AXYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14).

AMNO has vertices at M(4. 16), N(4.8), and O(-2.8).

AJKL 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.

Triangle ABC and triangle XYZ

Triangle ABC and triangle MNO

Triangle JKL and triangle ABC

Triangle MNO and triangle XYZ

Triangle ABC and triangle MNO are congruent. A Rotation is a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).

ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).

Therefore:

and ΔABC ≅ ΔMNO by SSS postulate.

In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.