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)

By AA similarity Postulate

Step-by-step explanation:

Given: GRPC is a parallelogram.

GC = 375 feet, BC = 325 feet, BP = 225 feet, BG = 425 feet

To find: a pair of similar triangles. criterion of similarity and BE, PE

Solution:

Opposite sides of a parallelogram are parallel

As ,  (if lines are parallel then alternate interior angles are equal)

As , if lines are parallel then alternate interior angles are equal)

So,  (by AA similarity Postulate)

(if two triangles are similar then their sides are proportional)