1. 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

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

The dilation will be a reduction if S < 1 and it will be an enlargement if S > 1.

From the figure, we note 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

Since S < 1, so the dilation is a reduction.

Thus,

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

(b) The scale factor of dilation is

answer: the common difference is -0.10

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6