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3. Consider this dilation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.

 The answers are:

(a) The dilation is a reduction of the original figure.

(b) The scale factor of dilation is 2/3

Step-by-step explanation:  We are given a dilation from ΔMSV to ΔM'S'V'.

We are to check whether the dilation is a reduction or an enlargement of the original figure. Also, to find the scale factor of dilation.

We know that if a figure is dilated to form the image figure, then the scale factor of dilation is given by

If S < 1, then the dilation will be a reduction and if S > 1, then the dilation will be an enlargement.

We can note from the figure that

the co-ordinates of the vertices of the original triangle MSV are M(-3, 3), S(6, 3) and V(3, -3),

and the co-ordinates of the dilated triangle M'S'V' are M'(-2, 2), S'(4, 2) and V'(2, -2).

So, the lengths of the corresponding sides MS and M'S' of both the original and dilated figures are calculated using distance  formula as follows:

Therefore, the scale factor of dilation is given by

Step-by-step explanation:

b

Step-by-step explanation:

the scale factor is b

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step-by-step explanation: