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9514 1404 393

Step-by-step explanation:

1. Any mapping requiring segment lengths to be congruent will require a "rigid" transformation, some combination of rotation, reflection, and translation.

If the transformation is not one of those, then segment lengths may change. The transformation we usually study that is not a rigid transformation is dilation. It preserves angles and slopes, but not segment lengths.

Of the choices listed, only choice B does not involve congruent segments.

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2. In line with the discussion above, the dilation will preserve the slope of KM so that it is the same as the slope of K'M'. This is described by choice B.

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3.

a) Finish simplifying the equation already written.

  f(3y -1) = 8(3y -1) -9 = 24y -8 -9

  f(3y -1) = 24y -17

b) f(x) = -23

  8x -9 = -23

  8x = -14 . . . . . . add 9

  x = -14/8 = -7/4 . . . . divide by 8, reduce the fraction

  x = -7/4 = -1.75

6 meters

step-by-step explanation: