Answers and Explanations

PLANE GEOMETRY FOLLOW-UP TEST

1 . E

Mark    up  the figure:

The brackets    around  the 4   and the 9   are meant   to  show    that    they’re proportions,    not actual

lengths.    Since   the ratio   of   to  is 4   to  9,  you can say that    4   parts   out of  13  are in  

and 9   parts   out of  13  are in  .

Because the whole   length   =  2,   and     .  The

midpoint    of   divides    it  in  half,   so  each    half    length  is  half    of   ,  which   is   .  The length

you’re  looking for is  .

2 . C

Put the given   lengths into    the figure: