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.

Part a) The dilation is an enlargement

Part b) The scale factor is equal to 3

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

In this problem

we have

substitute the values

The scale factor is greater than 1

therefore

The dilation is a enlargement

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

what are the answer choices given for this problem?