Question

hi! i need to create a two column proof for reaching the answer:) the answer is XY=327ft

Answer 1

Statement Reason

0. XA = 500 ft Given

,

1. AC = 500 ft Given

,

2. BC = 327 ft Given

$4.\angle BAC\cong\angle XAY\text{ }\ldots\ldots\ldots\ldots\ldots\text{Vertical angles}$

5. A is the midpoint of XC XA = AC

$6.\angle BCA\cong\angle YXA\ldots\ldots\ldots\ldots\ldots\ldots\ldots.\ldots.\text{ Alternate interior angles}$$7.\Delta\text{BAC}\cong\Delta YAX\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots.\text{ ASA}$$8.XY\cong BC\ldots\ldots\ldots\ldots\ldots\ldots\ldots....\ldots\ldots\ldots\ldots\ldots\Delta\text{BAC}\cong\Delta YAX$$9.XY=BC\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots..\ldots\ldots\ldots.....\ldots\ldots XY\cong BC$

10. XY = 327 ft XY = BC