Answer :

sqdancefan

Answer:

  (b)  2 1/2

Step-by-step explanation:

The similarity statement lists corresponding vertices in the same order. Corresponding line segments have corresponding end points.

Corresponding line segments

Using the vertices in left-right order, the corresponding line segments are ...

  MN : PQ  or  5 : x

  MO : PR  or  4 : 2

  NO : QR  or  4 1/2 : (no name)

Corresponding segments are proportional (their ratios are equal), so we have ...

  5/x = 4/2

  5/2 = x . . . . . . multiply by x/2

The length of x is 2 1/2.

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