Triangle qrs has been translated to create triangle q'r's'. rs= r's' = 10 units, qs= q's' = 5 units, and angles q and q' are both 90 degrees. which theorem below would prove the two triangles are congruent?

Asif spent $745.10 on 13 new file cabinets for his office. small file cabinets cost $43.50 and large file cabinets cost $65.95. write and solve a system of equations to find the number of small cabinets and large cabinets he purchased. determine if each statement is true or false. 1. he purchased 5 small cabinets. true or false 2. he purchased 7 large cabinets. true or false 3. he spent $527.60 on large cabinets. true or false