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Answer:
- B
- B
- a) f(3y-1) = 24y -17; b) f(-7/4) = -23
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 <em>dilation</em>. 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
