Plane Geometry Diagnostic Test

8 Minutes — 6 Questions

Directions

Solve   the following   problems.   Select  the best    answer  choice  for each    question.

1 . In  Figure  1,  the length  of   is 3a  +   15, and the length  of   is 7a  +   5.  If  Y   is  the

midpoint    of   ,  what    is  the length  of  ?

Figure  1

(A) 5   +   4a

(B) 5   −   2a

(C) 25  +   4a

(D) 20  +   5a

(E) 10  +   5a

2 . In  Figure  2,   =   .  If  the area    of  ∆RST    is   ,  what    is  the area    of  ∆QSP?

Figure  2