SAT Math Practice Question #27911 - SATify | SATify

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SAT Math Practice Question #27911 - SATify | SATify

#27911

geometry

circles

coordinate geometry

hard

180 sec

In unit square $A BC D$ , the inscribed circle $ω$ intersects $\overline{A B}$ at $M$ , and $\overline{D M}$ intersects $ω$ at a point $P$ different from $M$ . What is $D P$ ?

A.

$\frac{5}{12}$

B.

$\frac{5}{10}$

C.

$\frac{5}{9}$

D.

$\frac{5}{8}$

E.

$\frac{2 5}{15}$